World's first video of 56 transition controls for a triple inverted pendulum : 3-body problem

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  • Опубликовано: 18 авг 2022
  • This is the world's first experimental video about 56 transition controls that occur in a triple inverted pendulum. The triple inverted system was developed by Embedded Control Lab. Control was implemented using LW-RCP02, which was developed by Embedded Control Lab, and Simulink. The sampling time is 1 ms.
    * The triple inverted pendulum and LW-RCP02 can be purchased from Sungjin Techwin. For purchase inquiries, please contact sales@switch-vr.com.
    3단 도립진자에서 발생하는 56가지 transition control을 실제로 구현한 세계 최초의 실험 영상입니다. 3단 도립진자는 Embedded Control Lab의 자체 기술로 개발하였으며 실시간 제어는 Embedded Control Lab에서 개발한 LW-RCP02와 Simulink를 이용하여 구현하였습니다. Sampling time은 1 ms 입니다.
    * 3단도립진자와 LW-RCP02는 성진테크윈으로부터 구입할 수 있습니다. 구매문의는 sales@switch-vr.com로 해주세요.

Комментарии • 1,5 тыс.

  • @murphylhunn
    @murphylhunn Год назад +899

    Living in the 21st century is learning about an unsolvable problem, waiting two weeks, then stumbling across people who solved it

    • @lil-j-waters
      @lil-j-waters 2 месяца назад +5

      well said

    • @ronfitzhenry3726
      @ronfitzhenry3726 2 месяца назад +2

      So true

    • @adolfsnape1481
      @adolfsnape1481 2 месяца назад +27

      it's unsolvable by hand, but you can simulate it using a computer.

    • @aspectreishauntingeurope
      @aspectreishauntingeurope Месяц назад

      @@adolfsnape1481 if you can simulate it using a computer, you can simulate it by hand

    • @notdistracted1289
      @notdistracted1289 Месяц назад

      @adolfsnape1481 what do you consider this video then

  • @ferminforclaz4109
    @ferminforclaz4109 Год назад +4125

    This truly is the world's first video of 56 transition controls for a triple inverted pendulum.

    • @noahtekulve2684
      @noahtekulve2684 Год назад +141

      And also one of the videos ever!

    • @Vini-BR
      @Vini-BR Год назад +10

      HAHAHAHAHAHAHA 😆

    • @ragnarocks9121
      @ragnarocks9121 Год назад +40

      This video numbers among the other videos on youtube

    • @AnonyMous-pi9zm
      @AnonyMous-pi9zm Год назад +63

      Before seeing this video, I had never seen this video!

    • @brickbooms
      @brickbooms Год назад +27

      This is definitely a video of all time

  • @DeltaVTX
    @DeltaVTX Год назад +334

    6:55 that 5-3 was poetry

    • @harriehausenman8623
      @harriehausenman8623 Год назад +3

      One of my favs too!

    • @nsv8613
      @nsv8613 2 месяца назад +35

      The 6-3 is also so mesmerizing
      7:15

    • @HDL_CinC_Dragon
      @HDL_CinC_Dragon Месяц назад +3

      I laughed out loud with that one. Just incredible how effortless it looks.

    • @aceman0000099
      @aceman0000099 Месяц назад

      2-5

  • @DeathPredator
    @DeathPredator 2 месяца назад +141

    It can't be reasoned with. It can't be bargained with. It doesn't feel pain. And it absolutely will not stop until momentum is dead.

  • @truejim
    @truejim Год назад +4586

    Honestly, I would have been skeptical that this would even be possible. Just…wow.

    • @lostmykeys85
      @lostmykeys85 Год назад +88

      The mathematics involved are being done … so fast …

    • @DSAK55
      @DSAK55 Год назад +31

      I can do one of them

    • @niquel5831
      @niquel5831 Год назад +23

      @@DSAK55 I can do 7 of them.

    • @mezaomar
      @mezaomar Год назад +4

      @@lostmykeys85 Well it says "1ms"

    • @GeorgeSmileyOBE
      @GeorgeSmileyOBE Год назад

      Congratulations.

  • @herkules593
    @herkules593 Год назад +827

    I feel like this is the engineer's version of the sorting algorithm video

  • @99seaweed
    @99seaweed Год назад +317

    From description:
    “The sampling time is 1 ms”
    Wow, that’s not nearly as fine as I would have expected for a 3 pendulum control system, and yet it doesn’t seem to have any trouble at all.

    • @JavierSalcedoC
      @JavierSalcedoC Месяц назад +24

      yeah thought the same, probably the friction of the parts is high enough for the algorithms to work. In my ignorance I´d say that doing this with friction zero could be impossible?

    • @bolt7
      @bolt7 Месяц назад +26

      @@JavierSalcedoC Zero friction makes it impossible to statically balance (without constant adjustments), but given the point is to dynamically balance them (actively move around) there's no reason it would be impossible.

    • @andrewferguson6901
      @andrewferguson6901 Месяц назад +1

      @@bolt7 im trying to work it out in my head and I really can't process how that's possible because it *feels* wrong but in trying too articulate why it would be imossible I can't find a good reeeeason

    • @youhackforme
      @youhackforme Месяц назад +2

      ​@@bolt7I mean you also know that dynamic balancing must be possible because humans can stand up and hold their hands above their head and that's like 5 or 6 pendulums

    • @bolt7
      @bolt7 Месяц назад +4

      @@youhackforme Human balancing and movement happens through more of a pulley system with muscles and tendons. They aren't freely rotating joints (you can try to simulate that by going limp, but you won't stay standing for long). Still very impressive, but not really a pendulum.

  • @Gennys
    @Gennys Год назад +942

    The fact that it can go from position 1 to any is already impressive as hell.
    Then it can go from ANY position to ANY other without returning to any other intermediate position is crazy to me. And from unstable positions to other unstable positions.
    Sooooooo freaking Impressive.

    • @someonesomewhere1240
      @someonesomewhere1240 Год назад +43

      At 5:46, 8:15 it's maybe being a little bit cheeky on this front, but still... damn impressive.

    • @markdunlop4
      @markdunlop4 Год назад +14

      Not taking anything away from how awesome this is but 2 to 6 and back goes through 5

    • @bogfard314
      @bogfard314 Год назад +7

      Just a pedantic note: these positions are technically “marginally stable”
      But this in no way makes it any less impressive!

    • @DaftFader
      @DaftFader Год назад +11

      @@someonesomewhere1240 I think it's impossible to swing all three outstretched from bottom full extension to top full extension without it crossing another equilibrium position due to inertia. If they just full send it fully extended the entire swing, they'd be unable to correct without the thing collapsing back down, and wouldn't be able to stop it dead upright like that, this is probably the only way to do it (or shortest path at least). There are a few movements that fall to similar restraints, and some transitions are just going to have to pass through other equilibrium points. As long as they aren't fully stopping there I think it's unavoidable.

    • @TomBertalan
      @TomBertalan Год назад

      ​@@bogfard314 why, because of the cart DoF? I think you can disregard that.

  • @stevekim9662
    @stevekim9662 Год назад +3117

    I never thought that triple pendulum could be controlled. This video definitely needs more attention!!!

    • @RuLeZ1988
      @RuLeZ1988 Год назад +52

      This is really impressive. I believe each axis has different weights, and also the distance between the axis of the connection in the very background is shorter than the other connections. This Setup with these different weights play probably a very important role to make these transitions possible. I wonder if these transitions would be still possible, if the weight on each axis would be the exact same or if it then would be near to impossible to control the pendulum like that.

    • @Alucard-gt1zf
      @Alucard-gt1zf Год назад +14

      Of course it's possible, that's the whole point of chaos theory

    • @stevekim9662
      @stevekim9662 Год назад +17

      ​@@Alucard-gt1zf Yes but it's impressive cause although it is theoretically possible, it is close to impossible in reality.

    • @bigmike-
      @bigmike- Год назад +16

      In theory, it's possible to control an arbitrary number of pendulums - it's just that the difficulty goes up significantly with each additional pendulum added to the system.

    • @DaftFader
      @DaftFader Год назад +7

      @@bigmike- Yeah the margin for error goes down "exponentially" the more you add.

  • @elle3562
    @elle3562 Год назад +334

    What I always love most about these kinds of things is when they transition back to the stable equilibrium; it's like, when they're going to any of the other states, it looks unnatural enough that my brain just takes it at face value, but when it's dropping back down suddenly my brain jumps in like "Hey, we've seen stuff like this (pendulums, rope, chain, etc.) dropping down and swinging around countless times, so we know what it'll look like here", and then it suddenly comes to a stop at the stable equilibrium with almost none of the usual swinging back and forth around it, and it just feels *wrong*

  • @spacetimerunner
    @spacetimerunner Год назад +38

    Of all the 56 transition controls for a triple inverted pendulum videos out there, this is by far my favorite.

  • @MerlinJuergens
    @MerlinJuergens Год назад +195

    In my last school year, 2018, my .ath teacher told us, if we could figure out how to predict/control a triple pendulum we would be (math-)famous. Well, he was right 😂

  • @melody3741
    @melody3741 Год назад +1920

    1:35 the instant stop is incredible

    • @kennyhubbell813
      @kennyhubbell813 Год назад +73

      I watched it a couple times because I thought it was a jump cut at first.

    • @bengravell5086
      @bengravell5086 Год назад +77

      Advancing frame-by-frame you can really see how the control algorithm knows to "stack" each of the links vertically from bottom to top. Incredible!

    • @Roach_Dogg_JR
      @Roach_Dogg_JR Год назад +5

      Looks like a reversed video almost.

    • @melody3741
      @melody3741 Год назад +24

      @@Roach_Dogg_JR all physics is technically reversible

    • @duckmeat4674
      @duckmeat4674 Год назад +49

      @@melody3741 reverse my toast please

  • @ThantiK
    @ThantiK Год назад +1034

    Holy crap this is probably one of the most amazing feats of engineering I've ever seen.

    • @DogmaFaucet
      @DogmaFaucet Год назад +1

      Holy crap! I haven't seen you since the G+ days...

    • @ltmcolen
      @ltmcolen Год назад +2

      If you like CNC machines you might enjoy this even more
      ruclips.net/video/XaXER__lIU0/видео.html

    • @djmips
      @djmips Год назад

      I feel like it's something that anyone can appreciate.

    • @sunway1374
      @sunway1374 Год назад +4

      How about the SpaceX rockets returning to land?

    • @vihreelinja4743
      @vihreelinja4743 Год назад

      lol

  • @StuffandThings_
    @StuffandThings_ Год назад +943

    I love how simple the actual machine is; its the code and theory working the magic, not some particularly fancy machine itself

    • @DanielH212MC
      @DanielH212MC Год назад +120

      The precision capabilities of the machine also impresses me a lot. It probably has to perform such fine adjustments that we can't even see some of them.

    • @tomb816
      @tomb816 Год назад +91

      @@DanielH212MC Yeah, but precision CNC machines can hold tolerance to below 1 micron. The equipment and pc controls have been around for quite some time. The coding is definitely the feat of engineering that was accomplished w/ this demonstration.

    • @Bubu567
      @Bubu567 Год назад +18

      @@DanielH212MC Closed loop servos are amazing. The feedback is being used to balance the pendulums. This feature has recently been coming to steppers as well, which will be amazing for hobbiest who can't afford servos.

    • @RuLeZ1988
      @RuLeZ1988 Год назад +13

      Not only the code itself does make it work. I believe each axis has different weights, and also the distance between the axis of the connection in the very background is shorter than the other connections. This physical Setup with these different weights play probably a very important role to make these transitions possible. I wonder if these transitions would be still possible, if the weight on each axis would be the exact same or if we then reach the limit in which it would not be impossible anymore to control the "triple inverted pendulum" like that.

    • @sixstringedthing
      @sixstringedthing Год назад

      @@RuLeZ1988 This demo is only possible due to the principle of inertia, which is a function of mass and force (a mass at rest will resist an applied force that attempts to move it in any direction, a mass in motion will resist any force that attempts to change the direction of that motion). The rig does not allow the designers to vary the force (torque) applied to the individual pendulum elements since they are free-swinging. Therefore, the only way this demonstration can work is if the pendulum elements all have a different mass, those masses being different enough to allow fine manipulation of input forces within the resolution of the control system/hardware so as to affect the elements individually and collectively with respect to their inertia within the bounds of some incredibly complex mathematical equations. The angular position/momentum feedback from each element (and the overall system) is then measured and corrected for at very high speed/resolution to arrive at the desired equilibrium. Of course, it should be possible to build such a machine with pendulum elements of the same length, as long as their masses were different enough to work within the resolution/frequency/tolerance confines of the hardware, control system and code.
      All of that said, I have absolutely no idea how bringing the masses/lengths of the elements closer together would affect the fiendishly complex calculations and coding required to make the machine reliably transition from any given equilibrium state to any other. That shit is just.... *boom* ... mind-blowing. :)

  • @maism4577
    @maism4577 Год назад +192

    I dont know why RUclips would recommend this to me but it's sure nice it did.
    the first transitions were impressive enough on their own but being able to switch between any equilibrium is mind boggling to me.

  • @Synthetica9
    @Synthetica9 Год назад +538

    I love the swagger with which it goes to the stable equilibrium, just stopping the motor for a bit is not cool enough 😎

    • @AlexTaradov
      @AlexTaradov Год назад +67

      It is not the same as simply letting it go. The idea of control is that you have optimization parameter, which is transition time in this case. Without active control it it would swing for a long time.
      In the recommended there is this video ruclips.net/video/meMWfva-Jio/видео.html , which shows the difference between controlled and uncontrolled transitions.

    • @Synthetica9
      @Synthetica9 Год назад +8

      @@AlexTaradov oh yeah, I suppose the bearings would have to be super smooth, my brain imagined more of a dampening factor

    • @Dobby_Dobson
      @Dobby_Dobson Год назад

      @@AlexTaradov Their 0 to 7 looks so clean!

  • @MrKinyodude
    @MrKinyodude Год назад +1456

    Any sufficiently advanced technology is indistinguishable from magic. - Arthur C. Clark

    • @rexus72
      @rexus72 Год назад +30

      This is definitely witchcraft.

    • @Kiteboardshaper
      @Kiteboardshaper Год назад +12

      Exactly what I thinking right the way thru this video, and I programmed an inverted pendulum system in my engineering degree

    • @MagnusWissler
      @MagnusWissler Год назад +11

      Clarke*

    • @IrateGamerW
      @IrateGamerW Год назад +1

      Arthur magic

    • @PanoptesDreams
      @PanoptesDreams Год назад +1

      No it's called mathematics.

  • @imakeitwhynot
    @imakeitwhynot Год назад +462

    As a non-engineer/mathematician I can only admire how this looks like a simple task but understand how incredible this is.

    • @ChadDidNothingWrong
      @ChadDidNothingWrong Год назад +10

      I WANNA SEE FOUR

    • @flyingmoose
      @flyingmoose Год назад +19

      Heck it’s hard enough to balance a broom on my palm, I can’t image a broom with a hinge, let alone 2 hinges…

    • @META_mahn
      @META_mahn Год назад +9

      As an engineer who studied this kind of stuff, the real ass pain behind this is the funky math that went behind all of this...the theory is simple however.
      Once you solve for the equations though, SimuLink is a really powerful tool and really can just handle a lot of this with some clever usage of computer logic.
      The real impressive part isn't even the balancing. It's the ability to send the machine from 0 to any state. Dealing with the "swing-up" control was probably the worst part about developing this.

  • @OlOleander
    @OlOleander Месяц назад +7

    I would not have anticipated the algorithm serving me 56 transition controls for a triple inverted pendulum, but here I am watching 56 transition controls for a triple inverted pendulum

    • @nicktomato7
      @nicktomato7 Месяц назад

      and the first video of it at that!!

  • @RaethFennec
    @RaethFennec Год назад +10

    It's a sad day for the world's first video of 55 transition controls for a triple inverted pendulum. But I think they can, together, share joy in this accomplishment. In all seriousness though, this is fantastic. This is the kind of robotics work that allows for the craziest kind of innovation that one would never expect if someone didn't work out the math and physics behind this, put it to code, and build a practical rig to demonstrate it. All of which are enormously time-consuming for this tiny, sub-10 minute video that only got recognition because its uniqueness makes it a prime candidate for success in a system of algorithm-driven content promotion. Imagine the wonder and inspiration this has inspired now, reaching a third of a million people! The value must be immeasurable.

  • @klerulo
    @klerulo Год назад +230

    This is highly under-rated fundamental robotic control. Very nicely done indeed.

    • @VestigialHead
      @VestigialHead Год назад +4

      Yes with this system you could make a robot that can balance much better than any human and walk and run and remain bipedal under nearly any circumstance.

    • @klerulo
      @klerulo Год назад +3

      @@VestigialHead I am guessing that the software was built using IK formulae and a lot of PID constants, with a lot of manual tuning. Have you considered trying a neural model, giving it an external monitor to observe its own results, and letting it attempt to train itself?

    • @yuukil5522
      @yuukil5522 Год назад +5

      @@klerulothis is beyond simple PID control

    • @klerulo
      @klerulo Год назад +4

      @@yuukil5522 I recognize that. Like I said, my guess is that this is based on formulae that encode inverse kinematics--but those formulae would suggest desired behaviors, which in turn would require driving the actuator to achieve those goals, and that requires basic PID. It's one element of what is likely very many, in a classical higher-level control loop.
      What I'm curious about is, could the same results be achieved using a neural, self-trained control mechanism instead?

    • @atomatopia1
      @atomatopia1 Год назад +2

      @@klerulo Theoretically speaking I’d say yeah it’s possible. I don’t know the details of this system but seems simple enough to represent mathematically and thus with sufficient design and training time would be possible to train a neural network to navigate.

  • @TheCassiusTain
    @TheCassiusTain Год назад +138

    Holy shit, this is amazing. I once programmed a controll function for a single inverse pendulum and I was so very proud when I could get it to stand indefinitely and adjust to minor aoutside influences after working on it for several weeks. I can't begin to immagine how complex the function for this has to be. I really hope you didn't have to sacrifice too many virgins to some elder god to acchieve this.

    • @labibbidabibbadum
      @labibbidabibbadum Год назад

      If it was anything like my university engineering lab, there would have been plenty of spare virgins available.

    • @LetsTalkAboutPrepping
      @LetsTalkAboutPrepping Месяц назад

      It was a reasonable number of them

    • @iSlowSilver
      @iSlowSilver Месяц назад +2

      Fortunately there's plenty in the engineering department

  • @joemannumber1
    @joemannumber1 Год назад +150

    I would love to see this demonstration with lights on each pivot and a long exposure effect. That would look amazing!

  • @thespudguy
    @thespudguy Год назад +19

    I’ve spent so much time admiring and simulating double pendulums, exploring their intricacies and visualizing their evolution- and here you are stabilizing a TRIPLE pendulum with some algorithm that I can’t even begin to comprehend. This is seriously on another level

  • @conradleonard
    @conradleonard 2 месяца назад +17

    I like that the Most Replayed graph essentially plots the y coord of distal part of the 3rd arm.... we love those n->7 transitions!

  • @KingWesleyIV
    @KingWesleyIV Год назад +6

    I might be a nerd but this is more fascinating than 99% of the content I've seen in the past 5 years.

  • @RainbowLayer92
    @RainbowLayer92 Год назад +16

    The longer you watch, the more impressive you realize this is.

    • @billey30
      @billey30 Год назад

      I'll be honest. Whenever I clicked on this video, I honestly didn't know what I was clicking on. And for the first minute or two, I was like "why is this video?" 😆. However, after a couple more minutes, I was LITERALLY blown away.!!!!

  • @mumblbeebee6546
    @mumblbeebee6546 Год назад +242

    This is very, very impressive! It even feels a little scary, and I can’t even put into words why…

    • @boRegah
      @boRegah Год назад +2

      Yes, exactly

    • @strykerjones8842
      @strykerjones8842 Год назад +36

      The why is because these motors and systems are either currently or in the future will be what controls Boston Dynamics type robots. Spoiler alert they aren’t going to be dancing with them and they won’t be missing any shots like in the Terminator movies either.

    • @andrewfleenor7459
      @andrewfleenor7459 Год назад +12

      It's profoundly, casually superhuman at a task you probably never considered just because it would be so ludicrously hard to do by hand, not just physically, like lifting something heavy, or intellectual, but both. And inverted pendulums are probably not the only thing it can do. Probably there are more practical applications that I also won't think of until I see them. For me it illuminates a gap in my imagination w.r.t the capabilities of robots.

    • @charlespatt
      @charlespatt Год назад +2

      I think it's because it reminds me of all the dancing skeleton cartoons I saw as a child!
      😂

    • @Yora21
      @Yora21 Год назад

      This should not be possible!
      Logically we understand that it should be "technically possible", but the problem seems so complex that it's hard to believe it can actually be done in reality.

  • @juiceyou321
    @juiceyou321 Год назад +103

    I'm completely amazed and the rest of my family brushes it off thinking I'm weird and not seeing the magic. Oh well.

    • @Petr75661
      @Petr75661 Год назад

      maybe you have the knack...
      ruclips.net/video/Dx6HojLBsnw/видео.html

    • @99seaweed
      @99seaweed Год назад +6

      Lols, you have to understand how difficult it is to appreciate it. And it doesn’t help that the video makes it “look easy”

    • @saint79209
      @saint79209 Год назад +3

      It's like balancing 3 broomsticks on a finger.

  • @ConnorNolanTech
    @ConnorNolanTech Месяц назад +2

    The transitions between states 5, 6, and 7 were the ones I was most excited to see, and they did not disappoint

  • @andrewsemenenko8826
    @andrewsemenenko8826 Год назад +19

    The most important to me:
    It has a limited and quite small platform, so it must not only perform those tricks, but also adjust the pieces to then go back to the center
    Just aatonishing!

  • @minerharry
    @minerharry Год назад +231

    I notice the pendulum segments are all different lengths - is that necessary for selective control of the individual segments? Like I notice in 2-> 5, the strategy relies on being able to swing the 3rd segment but not the first two

    • @joda7697
      @joda7697 Год назад +57

      it is necessary, yes

    • @tedshaneyfelt2263
      @tedshaneyfelt2263 Год назад +143

      The different frequencies from the respective lengths must be the basis for some independence in control. Brilliant.

    • @chrisweaver41
      @chrisweaver41 Год назад +5

      A+, impressive!

    • @megamaser
      @megamaser Год назад +42

      It helps, but it's not strictly necessary. You can always disproportionately affect different arms even if they have identical dimensions.

    • @pyropulseIXXI
      @pyropulseIXXI Год назад +19

      @@joda7697 no, it is not necessary. These lengths do make it easier, though

  • @safakbinici.x
    @safakbinici.x Год назад +98

    Well, there is a lot of math behind this. Loved it.
    This will definitely gather more attention in a close future.

  • @Zmax15
    @Zmax15 Год назад +14

    I didn't know what this video was gonna be, but it now certain feels like one of the best videos I'm gonna see in a while.

  • @ismahelo
    @ismahelo Год назад +17

    By far one of the best transitions is at 4:25, from 1 to 7, truly amazing

  • @MV-vv7sg
    @MV-vv7sg Год назад +193

    What’s insane is you don’t see the man offshot while pulling the pulley ropes back and forth really quickly to make this all happen. Props to BTS rope guy.

    • @PronteCo
      @PronteCo Год назад +5

      I guess you could say you're a BTS stan

    • @MV-vv7sg
      @MV-vv7sg Год назад +8

      @@PronteCo not so much into Korean Pop music sorry.

    • @ingenuity23
      @ingenuity23 Год назад +2

      @@PronteCo behind the scences

    • @PronteCo
      @PronteCo Год назад +8

      @@MV-vv7sg i know. It was a joke.

    • @Baneslayer
      @Baneslayer 2 месяца назад

      Challenge accepted.

  • @SR-ml4dn
    @SR-ml4dn Год назад +9

    Very impressive control performance. I wrote a Master Thesis for twenty five years ago for double inverted pendulum using Robust control, which was the hot topic at that time. The mechanic construction didn't aloud each pendulum to rotate fully around, so the start was done by hand to level both in upright position. The order for the controller went sky high and the loop shaping weight was designed for using the two eigenvalues for the pendulum otherwise the motor didn't have power enough.

  • @anuragkurle4827
    @anuragkurle4827 5 дней назад

    I recently saw a video of balancing a double pendulum, using a machine learning program, and I shared it with my friends stating how amazing that was, only to discover this video after two days, just watching this awe and wonder, thinking how on earth is this even possible, predicting AND executing the next possible move and getting it work, so beautifully and elegantly, i get proud of being a part of the human race looking at such amazing engineering!

  • @mikespies9578
    @mikespies9578 Год назад +3

    I'm not into engineering and I have no idea why this video was suggested, nor why I clicked on it. But I'm glad I did. That's truly incredible 👏

  • @tropicalinvest
    @tropicalinvest Год назад +53

    이 영상이 만들어지기까지 얼마나 많은 대학원생분들이 희생되었을지 상상조차 가지 않읍니다...

    • @JustinMeyer
      @JustinMeyer Год назад +3

      "Many Bothans^Wpost-docs died to bring us this information" kekeke

    • @Nic7320
      @Nic7320 Год назад +1

      All of them. They didn't go out and see daylight for three years.

    • @Scyth3934
      @Scyth3934 Год назад +3

      Translation: "I can't even imagine how many graduate students must have been sacrificed before this video was made..."

  • @BonafideJas
    @BonafideJas Год назад +21

    At first I thought the comments were being sarcastic. This video needs 8 billion views

  • @NostraDavid2
    @NostraDavid2 Год назад +13

    This feels very much like a pre-2010 YT video. The title says what the video is about, no commentary, and the comments are filled with impressed people. Good stuff!

  • @BrianRonald
    @BrianRonald Год назад +49

    Interesting how some transitions pass through intermediate equilibria. 6→2 and 2→6 are good examples of that.

    • @NoNameAtAll2
      @NoNameAtAll2 Год назад +2

      yeah, it went through 5 briefly

  • @donerskine7935
    @donerskine7935 2 месяца назад +3

    I think you have to be an engineer to understand how truly awesome this is.

  • @DavidMcCoul
    @DavidMcCoul Год назад +3

    Reminiscent of an acrobat lifting up above their head and balancing a teammate on their hands, then letting them down again. Amazing how not just a double but a triple pendulum can be controlled with enough sensory feedback. Amazing!

  • @sage5296
    @sage5296 2 месяца назад +1

    this is insane and so cool! the fact that it manages to make some of those unstable eqs look almost stable is wild, and it does it effortlessly

  • @JonMurray
    @JonMurray Год назад +12

    This was absolutely mesmerising. It feels alive. Jovial. Mischievous. Those slow smooth slides maintaining balance? Damn. Phenomenally impressive. Bravo.

  • @sixstringedthing
    @sixstringedthing Год назад +7

    Simply astounding. My knowledge of control theory and design practice is pretty limited, but even at my layperson level I can understand how impressive this project is. I would love to know if this demo rig and its control software were developed by building a double pendulum iteration first, or whether the designers just decided to aim high and went straight for developing this Big Daddy version!
    Edit: I've just gone through the mental process of trying to figure out how to explain why this video is so cool to my family and friends, and the more I think it through the more mind-bendingly complex and impressive it gets. I've kinda sorta got a handle on how the various equilibrium states are achieved, on a theoretical level at least (no idea how the math would be translated into functional code though). But cleverly stringing subroutines together to go directly from any given state to any other without passing through a known stable equilibrium on the way is simply magic as far as I'm concerned.

  • @jacklabadia1855
    @jacklabadia1855 Год назад +22

    this is incredible mastery of control

  • @vdinh143
    @vdinh143 Месяц назад +1

    Eq3 blew my mind. I was NOT ready for it

  • @DanielKlein23
    @DanielKlein23 Год назад +2

    I have no idea what this is or why the algorithm decided to bless me with it, but I dig it. Thanks, algorithm. Thalgorithm.

  • @johndamalulikali
    @johndamalulikali Год назад +34

    This is absolutely incredible! How hasn’t this video broken a million views?

    • @jacotacomorocco
      @jacotacomorocco Год назад +6

      Few people understand the achievement sadly..

    • @myfatassdick
      @myfatassdick Год назад +1

      I’m pretty sure it’s a reupload because I remember commenting on this a few years ago but now it’s not here and this was only from 7 months ago

    • @NotMe-ej9yz
      @NotMe-ej9yz Год назад

      1) The video name is incredibly complicated to decipher if you don't already know what this is so why bother watching something when you don't even understand the name. 2) it's 10 minutes long and most people nowadays aren't gonna invest that much time to watch something they've never heard of. And 3) it's a video about math, robotics, and physics so most normal people aren't interested (or actually hate in the case of math and physics) those topics. We obviously aren't most people lol
      Bonus answer: The thumbnail sucks

  • @robappleby583
    @robappleby583 Год назад +25

    Unbelievably cool. My mind is blown.

  • @guard13007
    @guard13007 Год назад +1

    What I love so much about things like this is that it shows something that looks pointless, but behind the scenes, this kind of control mechanism is what makes a lot of stabilization systems work, and helps the world function better and better.
    While not directly comparable, at least some of how this must function lies within aircraft autopilot systems, cruise control in most cars, and probably some of the "magic" stuff smart phones can do utilizing their sensors while taking video or photographs.

  • @robehickmann
    @robehickmann Месяц назад

    That;s really awesome, great work.

  • @randomviewer896
    @randomviewer896 Год назад +6

    This is some of the most beautiful motions I have ever seen

  • @user-pu8mh4qu7s
    @user-pu8mh4qu7s Год назад +3

    영상 유익하네요!!

  • @danylaley
    @danylaley Год назад +2

    The amount of transitions in these controls is impressive.

  • @BradBo1140
    @BradBo1140 Год назад +2

    My gosh that’s amazing. Next they will solve the three body problem.

  • @emmettdja
    @emmettdja Год назад +5

    That is just the biggest flex I've ever seen. Just wow.

  • @karoliszukauskas9601
    @karoliszukauskas9601 Год назад +66

    The key is that each link is different length thus the natural swinging frequency is different for each link. By moving actuator at specific link resonant frequency it can move the desired link more than others. Nonetheless it’s incredible to see it in action working flawlessly.

    • @eitanspuzzles
      @eitanspuzzles Год назад +7

      That is not very likely how it works. It's a PID control system, using a feedback loop to constantly tune the position of the cart.

    • @Matuterocks
      @Matuterocks Год назад +2

      I've heard they use machine learning and chaos theory to achieve these what these machines do

    • @christianridings1870
      @christianridings1870 Год назад +6

      @@eitanspuzzles ain’t no way this is just PID control

    • @stevelentz9458
      @stevelentz9458 Год назад +4

      If you look closely you can see mass added to the ends of 1 and 2, I think this is really the key, since the inertia of each segment will be different.

    • @aaronbeekay
      @aaronbeekay Год назад +5

      @@stevelentz9458 I think those are resolvers (to measure the angular position of the joints).

  • @KalijahAnderson
    @KalijahAnderson Месяц назад +2

    This is straight up 'chaos managed'.

  • @wasabi991011
    @wasabi991011 Год назад +2

    Absolutely incredible. Glad the algorithm suggested it

  • @roryoconnor4989
    @roryoconnor4989 Год назад +10

    Can’t wait to see what six flags does with this technology

  • @KIM-yb1ns
    @KIM-yb1ns Год назад +19

    더 많은 공학도들이 이 영상을 보고 영감을 받으면 좋겠네요.

  • @hoagy_ytfc
    @hoagy_ytfc Год назад +2

    For such a chaotic system, it's amazing that both machines stay in perfect sync.

  • @302ci1968
    @302ci1968 2 месяца назад

    Wow. Astounding !
    Nice job

  • @TheFoxranger
    @TheFoxranger Год назад +5

    So impressive !

  • @obscurity3027
    @obscurity3027 Год назад +55

    I’m don’t think the average person realizes how insane and amazing this actually is.

    • @somal1anwarlord197
      @somal1anwarlord197 Год назад +2

      No! Everyone knows how insane that is! We all played at some point with a pendulum

    • @parthenocarpySA
      @parthenocarpySA Год назад +15

      Thank God the above average people like you can truly appreciate it

    • @swolleneyes
      @swolleneyes Год назад +4

      The insane person realizes how average and actually this amazing think do

    • @dannlefou7070
      @dannlefou7070 Год назад

      @@swolleneyes I love you.

  • @JimmyLeeJr
    @JimmyLeeJr Месяц назад

    This reminds me of old videos my grandfather would show me of triple inverted pendulums.
    RIP poppop

  • @barebaric
    @barebaric Месяц назад

    Love the mini servos in each joint!

  • @optinoptimist
    @optinoptimist Год назад +86

    from 6:55 - 7:30 are my favorite series of transitions

    • @grantcivyt
      @grantcivyt Год назад

      Those were very cool. Thanks for linking. I was about to leave early! 😀

    • @_wetmath_
      @_wetmath_ Год назад

      yeah same

  • @lizardfog
    @lizardfog Год назад +3

    That must have taken the whole afternoon to figure out the equations for that

  • @650gaymemaas
    @650gaymemaas 2 месяца назад

    It is devastating. As a kicked-ass student who tried to deal with gain scheduling in master programme of control, I can just say congratulate you. I noticed that the controller oscillates to keep some unstable equilbriums stable. You may reduce those oscillations but still it is amazing. Thanks.

  • @rasciodc4699
    @rasciodc4699 Год назад

    Feel like more people should be talking about this. Just beautiful and elegant.

  • @ari90i
    @ari90i Год назад +3

    going from 6 to 7 is wild that's some damn precision

  • @critical_always
    @critical_always Год назад +5

    I am not that good in maths but I read how chaotic pendulum systems can be. Triple! This is incredible.

  • @nj1255
    @nj1255 Год назад

    Absolute madness. Congratulations!

  • @braedonrogers5534
    @braedonrogers5534 Год назад

    Truly incredible. Great work!

  • @David-pw3sp
    @David-pw3sp Год назад +1

    As an engineer, just seeing this makes me wonder the level of numeric methods and computing processing that this took, truly amazing

  • @vxcvbzn
    @vxcvbzn Год назад +6

    Out of all of the triple inverted pendulum transitions, that was certainly all of them.

  • @Blayzeing
    @Blayzeing Год назад

    This is the single most impressive control system I think I have ever seen. Absolutely outstanding.

  • @Mankepanke
    @Mankepanke Месяц назад

    Dude... That number 7 equilibrium at 2:30 minutes in. I felt my jaw drop...

  • @silver_3552
    @silver_3552 Год назад +6

    This... Was one of the best thing i've ever seen
    There are three me that are wondering:
    1) How do i construct a physics theory to properly describe when and how to give/remove energy from the system to make it do this?
    2) How do i set up machines and sensor in a way that can give me feedback fast and acurate enough to properly balance it even when it's in his most unstable equilibrium spot?
    3) How do i program a feedback loop that can automatically do small correction based on the points above?
    i'm a physics student and my friends are another physics students, an automation engineering student and a informatic student (not sure about specializations) so this was spectacular thinking about every part of our studies...
    I loved seeings this

    • @chrisdonnell7200
      @chrisdonnell7200 Год назад +6

      The tools for this are called "control theory", they involve a good bit of physics and math from multiple domains. It's a very deep subject, and this triple pendulum is non-trivial to control the way they do. However, single "cart-pendulum system" (good thing to Google) are pretty standard control subjects that many university students do, and would definitely be both reasonably achievable and a great starting point for this if you wish to get more complex in future.

    • @chrisdonnell7200
      @chrisdonnell7200 Год назад +6

      The simplest control strategy is something you've probably heard of, the PID controller. In essence it's saying "if I want something to go in X direction, I should apply X input", intuitive enough from Newton's Laws. PID is good enough to balance a single cart-pendulum. After that you can get into linear controls, which essentially generalizes the PID system and utilizes linear algebra to more formally describe and control a system. For a system as complex as the triple pendulum you almost certainly need more complex, non-linear/optimal control systems which are much more difficult to design.

    • @silver_3552
      @silver_3552 Год назад +1

      @@chrisdonnell7200 thanks a lot, i will most certainly check it out... After i give my next exam that is almost a week from now

    • @scowell
      @scowell Год назад

      @@silver_3552 Basically, an inverted pendulum... a controlled rocket is very similar to an inverted pendulum.

    • @silver_3552
      @silver_3552 Год назад

      @@scowell i see, that's an interesting analogy that i didn’t think of...
      There is so much to learn and i'm really glad i've written that message and to all that have responded giving me something to search

  • @moumdoh
    @moumdoh Год назад +3

    now this is some big brain stuff

  • @DaftFader
    @DaftFader Год назад +1

    This is sooo cool! I always watch the triple pendulum vids thinking that micro movements would drastically change the outcome of the swing, but they are actually controllable to the point of being able to predict and balance them like you have! Sweet! The last few iterations were the most impressive (and I assume the hardest to get right too), really cool.

  • @mjsunkiter
    @mjsunkiter Год назад +1

    I cannot even fathom the basic tuning that goes into this. I am sure the controller cannot handle any arbitrary triple pendulum: it must be tuned for a specific set of lengths for each arm, a specific weight for each arm, and a specific CG for each arm. Even so, this is astounding.

  • @Rouverius
    @Rouverius Год назад +4

    If I try really hard, I can sometimes balance a broom on my finger.... so, I got that going from me.... which is nice...

  • @FelonyVideos
    @FelonyVideos Год назад +6

    It's unstable at some of the positions, but the non-linearity of the geometry stabilizes it. Excellent work!

    • @rarebeeph1783
      @rarebeeph1783 Год назад +1

      I'd imagine the majority of the stability is achieved through powered microcorrections, moving the base to adjust the angles of the pendulums relative to each other.

    • @crackwitz
      @crackwitz Год назад +7

      ALL of these except position 0 (all down) are unstable. The point of this thing is indeed that the apparatus counters, using motions of various magnitude and speed.

  • @blue_birb
    @blue_birb 2 месяца назад

    This is insane
    Amazing work!

  • @CXT14GamerMouse
    @CXT14GamerMouse 2 месяца назад

    this is incredible! didn't think this was even possible

  • @ppm0624
    @ppm0624 Месяц назад +23

    It's incredible how these brilliant minds could control the 56 transitions of a triple inverted pendulum but failed miserably at hanging a black sheet without wrinkles

    • @anthonyrepetto3474
      @anthonyrepetto3474 Месяц назад

      Your comment illuminated so much of what felt odd to me about this... thank you!

    • @vincentjames1107
      @vincentjames1107 Месяц назад

      Everyone has their areas of expertise. Clearly the focus and purpose of the video is the demonstration. It is pointless to nitpick about something that is completely irrelevant.

    • @NobodyYouKnow01
      @NobodyYouKnow01 Месяц назад

      The sheet is just there to provide contrast, which even in spite of its wrinkles, does the job alright. I’m not surprised they didn’t bother with the curtain, considering the bulk of the actual pendulum setup probably had a lot of leveling and other bug fixes that are physically and intellectually draining for the monotony of it. Imagine finally getting the pendulum completely fixed, only to realize "eh, I should iron this sheet…" I just would have said screw it, y’know?

  • @jacklabadia1855
    @jacklabadia1855 Год назад +8

    Is there a research paper or some simulink code I may view?

  • @senseiplay8290
    @senseiplay8290 Месяц назад

    FLIPPING MAGICIANS!! I can;t even comprehend how much time you must have spent to achieve this precision madness!!

  • @kummer45
    @kummer45 Год назад +1

    The mathematics and physics of this should be STRICTLY beautiful. But this is just more than math and physics. This is art found with hard science.
    This is simply beautiful.

  • @SavouryLobster
    @SavouryLobster Год назад +5

    I'm a programmer and not an engineer but this is very cool. Some really neat behind the scenes stuff I bet and lots of hours.

  • @Twirlip2
    @Twirlip2 Год назад +6

    I find this strangely relaxing to watch. It also made me laugh out loud, probably because I imagined the machine to be sentient as it performed one feat of juggling after another. I could almost hear it saying "Huuu...UUP!!" I clapped at the end.

  • @mirkogiljaca1051
    @mirkogiljaca1051 Год назад +1

    Beautiful.

  • @aaaarchy
    @aaaarchy Год назад

    I have no clue why RUclips recommended this to me, but I can't stop watching. It's mesmerizing and absolutely genius.