Nyquist Stability Criterion, Part 1

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  • Опубликовано: 8 фев 2025
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    An explanation of the Nyquist Stability Criterion. This video steps through the importance of the criterion, how to interpret the Nyquist plot graphically, and why it is the way it is. This is the first video in the series on Nyquist plots.
    Errata:
    Matlab Scripts:
    NyDemo.m - The automated demonstration of Cauchy's Argument Principle
    docs.google.co...
    Interact.m - The interactive demonstration of Cauchy's Argument Principle
    docs.google.co...
    arrow.m - www.mathworks.c...
    Don't forget to subscribe! I'm on Twitter @BrianBDouglas!
    If you have any questions on it leave them in the comment section below or on Twitter and I'll try my best to answer them.
    I will be loading a new video each week and welcome suggestions for new topics. Please leave a comment or question below and I will do my best to address it. Thanks for watching!

Комментарии • 576

  • @michaelsutanto6757
    @michaelsutanto6757 4 года назад +572

    7 years after you uploaded this video, in the middle of a pandemic, you saved a uni student from failing his module. Thanks.

  • @anantikamehra1694
    @anantikamehra1694 9 лет назад +521

    You not only make me understand, but also make me marvel at the beauty of the stuff you're teaching. You are a brilliant teacher! Thank you so much for taking the time out to make these videos and helping us struggling undergraduates with something that can be so simple, but is generally taught in a way that makes the material inaccessible and scary.

    • @CallmeKaram
      @CallmeKaram 7 лет назад +4

      Anantika Mehra 😂 😂 😂 I have become Fan of your English 😛

    • @rushilvispute7017
      @rushilvispute7017 7 лет назад

      True!

    • @howardlam6181
      @howardlam6181 5 лет назад +3

      The reason this is so good is because of the example program he made rather than theorems that are very hard to read because they skip all the derivation steps and just say they are trivial and we should do at our own time.

  • @BrianBDouglas
    @BrianBDouglas  11 лет назад +115

    Part two is in my head! I'm working on it now and should have it out within the week. Thanks for watching!

    • @enesog
      @enesog 3 года назад

      What if the RHS zeros of (1+G*H) are compensated by the zeros of G ?
      Than you will not have Poles in the RHS of the closed loop system CLTF = G / (1+G*H)
      Is this case even possible?

    • @coolwinder
      @coolwinder 2 года назад +3

      We need a continuation, this is the most amazing video I saw on this topic! Pls continue working and bringing this kind of insight!

    • @SaeedAcronia
      @SaeedAcronia 2 года назад +1

      Hi Brian, would you let me know what reference books you recommend?

  • @hidansektas
    @hidansektas 6 лет назад +38

    I LITERALLY CRIED WHEN I UNDERSTOOD IT. ENGLISH ISNT EVEN MY FIRST LANGUAGE SO I HAD TO CONCENTRATE EXTRA HARD . THANK YOU SO FREAKING MUCH

    • @diamond-Kaz
      @diamond-Kaz 3 года назад +1

      Feeling the exact same way lol, i was starting to get super-anxious about my upcoming exam ;;

    • @hidansektas
      @hidansektas 3 года назад +5

      @@diamond-Kaz you got this. i actually graduated since writing the comment. i wish you all the luck in the world i believe in you❤

    • @diamond-Kaz
      @diamond-Kaz 3 года назад +1

      @@hidansektas 💖💝❤️

  • @blakerezachek9804
    @blakerezachek9804 4 года назад +35

    Just watched 5 hours of university lectures that didn't even come close to explaining the topic with this level of clarity

  • @assil619
    @assil619 3 года назад +4

    Sir, you are a Control Systems Theory god. Bless thee for allowing us lowly beings ascend the ladder of knowledge.

  • @tarunfirestoned
    @tarunfirestoned 11 лет назад +21

    you are a lifesaver dude.you made me understand something easily in minutes which i could not understand for hours together

  • @BoutinMathieu
    @BoutinMathieu 11 лет назад +37

    I really like the way you teach. The sound and image are both very clear, and you seem motived when you speak. Please keep making more videos!

  • @itaidagan1
    @itaidagan1 9 лет назад +5

    Blown away by how clear and concise this video is, thank you!

  • @goodboi42
    @goodboi42 2 года назад +2

    I not only passed my semester but also grew an appreciation for Control Systems because of your lectures.
    Thank you so much!

  • @starimakro4292
    @starimakro4292 Год назад +1

    Nyquist is one of the coolest names i have ever heard of

  • @nyoomba
    @nyoomba 4 года назад +1

    This guy blows my lecturer out of the water, kudos man!

  • @yushaos
    @yushaos 11 лет назад +36

    Why are you so good at explaining?!

  • @ethanhu2831
    @ethanhu2831 Месяц назад +1

    In a 17-minute knowledge-dense video, this dude is able to clear up the fundamentals of Nyquist plot that my professor had been struggling to explain in a series of three-week lectures. I wonder why I am paying the tuition to the university but not this guy…

  • @amysmith6068
    @amysmith6068 5 лет назад +4

    You are an amazing teacher! Thank you so much for making this amazing resource publicly available. You are responsible for many engineering students developing a real understanding of important stuff

  • @CyberSherriff
    @CyberSherriff 11 лет назад +2

    You're an absolute legend, I failed my summer exam in control and I have my repeats in 4 weeks. Your vids are saving me, and I think I'm finally getting the concept of CONTROL. I wish you the best in life, sincerely.

  • @AhmedMagdy-xb8bl
    @AhmedMagdy-xb8bl 10 месяцев назад

    You helped me grasp control theory like never before. I now think like a control system engineer.
    Brian, your dedication to teaching is truly appreciated. Just as scientists advance knowledge, educators like you ensure its transmission.
    Thank you for your invaluable contribution.

  • @chriskorfmann
    @chriskorfmann 3 года назад +2

    I'll be another drop in the bucket when I say this, but I have to say it. This video is phenomenal. All of your videos that I've watched so far are amazing. I think you're the reason I will pass my control systems course. Thank you for your work.

  • @Banarasi_guy
    @Banarasi_guy 10 лет назад +18

    From basic to the top
    always the best lecture series :D

  • @andyhong6951
    @andyhong6951 10 лет назад +48

    My god, I owe you my life man LOL
    This video saved my day

  • @abhijitmajee6754
    @abhijitmajee6754 5 лет назад +1

    You must understand that you have a unique gift of God that you can explain things so purely. I feel enlightened by the level of insight you present. Thank you, Sir.

  • @parthpatel-dg3db
    @parthpatel-dg3db 4 года назад

    The best explanation of the Nyquist plot. I gave up this topic but thanks to you now I can imagine what is the Nyquist plot and why it even exists. thanks, man.

  • @Amplid00
    @Amplid00 11 лет назад +1

    Hey man, just wanted to say your online classes are worth 10 of my brain-shrivelling books, I wish I had a teacher like you for every class!!
    Keep it up, you make all of our lives so much easier!

  • @nikosips
    @nikosips 4 года назад +2

    This is the best series of starting to learn control theory on youtube ! Thank you very much for your time and effort!

  • @inigo_88
    @inigo_88 11 лет назад +3

    This series is fantastic. I wish more people who taught Controls could communicate the concepts as effectively as you do in your videos. Keep up the great work!

  • @elisamicaelarodriguezstein2975
    @elisamicaelarodriguezstein2975 4 года назад

    OMFG, I really, really enjoy the way you explain. I know there are too many people who are not from an English speaking country and watch your videos, just like me! Regards from Argentina

  • @theliferulz
    @theliferulz 5 лет назад

    You are a Hero. If they could just fire the lecturer and put your videos in a playlist instead the pass rate would skyrocket.

  • @coltonjohnson3140
    @coltonjohnson3140 3 года назад

    Geesh.... You are such a good teacher, that made understanding Nyquist stuff so much easier

  • @Speechrezz
    @Speechrezz 3 года назад +1

    This video saved me and the midterm I have to take tomorrow :)

  • @SoulSurivor
    @SoulSurivor 3 года назад

    Amazing! The reader for my system control class dedicated a whole 400-orso words to Nyquist diagrams... So I am glad to have found someone explaining it to this degree of clearness!

  • @merlissoto3923
    @merlissoto3923 7 лет назад

    Brian, you have the ability to make all control system theory interesting!

  • @JudahCaruso
    @JudahCaruso 4 года назад

    I clicked here by accident but stayed because it sounded so interesting. Literally had 0 knowledge of the topic at hand, but you were such a good teacher that I feel like I learned something anyway haha

  • @anandh1967
    @anandh1967 Месяц назад

    I spent days on nptel and I finally found this lecture, thank you..

  • @vgmduarte
    @vgmduarte 4 года назад

    7 years later and still an awesome video. Thanks man.

  • @samar1977gh
    @samar1977gh 3 года назад

    Watching your videos just two nights before my finals. Many thanks!! it's great to hear such a great explanation to this subject

  • @chillingmeko
    @chillingmeko 7 лет назад

    I may have failed the first time taking Control Systems class, but this second time with your videos I'm passing. :) Thank you, Brian. You da man!

  • @ashchan1998
    @ashchan1998 5 лет назад

    Before learning the maths behind a topic, its very helpful for a teacher like you to explain the reasoning and overall picture of whats going on. I feel my knowledge is incomplete without watching your videoes. Thanks for the great work!

  • @yasirpunathil7143
    @yasirpunathil7143 4 года назад

    Thanks alot, Nyquist criterion was a topic I hated because of lack of understanding, I tried many resources including some reference books, but I didn't understand it. Now because of your beautiful explanation, not only that I understood it really well, I could appreciate the beauty of the concept, thanks again

  • @nicolasavellan3067
    @nicolasavellan3067 3 года назад

    I've been wondering about this for a solid 6 months and it's so much clearer now. Thanks !!!

  • @hasansukkar2306
    @hasansukkar2306 7 лет назад

    Absolute legend, you deserve an honorary PhD for these beautiful videos!

  • @arihantjain8347
    @arihantjain8347 7 лет назад

    watching only 2 or 3 videos had made me a great fan of yours
    doing a great job,ecstatic to find you on youtube.

  • @achm3dz
    @achm3dz 9 лет назад

    wah....was having so much trouble with Nyquist and this one video (well ofcourse with some previous knowledge of the Nyquist plot) clears most of the things! great work Brain!

  • @모든일상-j4i
    @모든일상-j4i 8 месяцев назад

    You are a living legend.. thanks for such an amazing video!! Seriously helped a lot. - Undergraduate student from South Korea -

  • @sharshabillian
    @sharshabillian 2 года назад

    This really ties everything together into one clearer picture. Much appreciated!!

  • @abi1231000
    @abi1231000 4 года назад +2

    i learned more from this 15 minute video than a 2 hour lecture I just had

  • @vidushavithanage7449
    @vidushavithanage7449 6 лет назад

    You are a genius man!!! I was never going to understand about the control module without you! Thankyou..

  • @7742-f7n
    @7742-f7n 6 лет назад +5

    U save my final exam, I love u.

  • @rezajaz6105
    @rezajaz6105 7 лет назад

    The best teacher i have ever seen

  • @patrickwang9137
    @patrickwang9137 6 лет назад

    I have an exam in 2 hours and I am watching this now. Thank you so much for making me understand what I am even learning.

  • @shivranjinighegde1113
    @shivranjinighegde1113 7 лет назад

    Sir, OMG. You made my life easier!. I was awestruck when you showed the nyquist plots in matla. It makes so much sens e now. Thanks a ton!

  • @wandersonpereira9884
    @wandersonpereira9884 11 лет назад +5

    Brian, you are the best one. Please, make a video about state space control. The world needs it!!!! Thaaks.

    • @tld5843
      @tld5843 5 лет назад

      Yes please!!!!!

  • @damianomartucci9814
    @damianomartucci9814 4 года назад

    Congratulations! Now Nyquist theorem is comprehensible.

  • @marcus4536
    @marcus4536 3 года назад

    I read Ogata and Nise sometimes about Nyquist but this video helped me more. Thanks a lot and keep with the excellent work.

  • @MadMax300173
    @MadMax300173 9 лет назад

    Awesome explanation of the so smokey Cauchy Argument principle that most text books fail to explain, making it impossible to grasp the real thing! Even 20 years ago when i studied this at the university they gave us quite a smokey explanation compared to this one. Great job! Thumbs up!

  • @keylak8078
    @keylak8078 7 лет назад +3

    these videos are literally saving me this semester. thank you!!

  • @danawen555
    @danawen555 5 лет назад

    thanks for the explanation
    , you are one of the best youtubers on this area!

  • @leolorenzo52raylewis
    @leolorenzo52raylewis 4 года назад

    You should run for president! you have a gift at breaking down complicated ideas and explain them so easily to the common man!! hahaha

  • @tusharrohilla7154
    @tusharrohilla7154 6 лет назад

    Best lectures on control system in whole you tube

  • @suhaskulkarni4514
    @suhaskulkarni4514 10 лет назад

    Absolutely amazing videos. I have understood far more through this 17 min video that i have in an entire semester that spans 5 months. Thank you very much.

  • @Roxzefox
    @Roxzefox 11 лет назад +1

    I'd like to take the time to sincerely thank you for preventing me from failing my control systems course this term.

  • @sshanto17
    @sshanto17 2 года назад

    I learn more from youtube than I did from undergrad and grad school :| Thanks @Brian for making this series.

  • @nikolatodd1755
    @nikolatodd1755 4 года назад

    Man, this man is better at explaining than my uni professor.
    Thank you very much!

  • @girin9388
    @girin9388 7 лет назад

    Control Systems has become my favourite subject because of you. Thank you! :)

  • @AleArg09
    @AleArg09 7 лет назад

    I have a final exam of Control Systems next monday and this helped me a lot to better understanding Nyquist Criterion. Thanks a lot! I subscribed btw

  • @Startrail_MS
    @Startrail_MS 4 года назад

    Thank you so much, maybe these are the only videos with a good explanation of the theme. Nice job :)

  • @alexandreleboucher3056
    @alexandreleboucher3056 7 лет назад

    Wow first time I supported a youtuber on patreon. Keep-up the good work

  • @malharjajoo7393
    @malharjajoo7393 8 лет назад

    Fantastic demonstration , the Matlab simulation really helped !

  • @pjggregory
    @pjggregory 11 лет назад

    Wow! Amazing. I am speaking for everyone when I say could you upload the 2nd part because we all love you and need these videos in our lives. You should be paid for what you do!

  • @SiddharthDoshi-e4u
    @SiddharthDoshi-e4u 9 месяцев назад

    This content is unbelievably good!

  • @조지수-g7c
    @조지수-g7c 8 лет назад

    Brian! YOU are sick man... so good, most clearly explained video ever watched on youtube!

  • @jagdishkango9753
    @jagdishkango9753 9 лет назад +5

    Was way interesting then my lecture You saved the day.

  • @BrianBDouglas
    @BrianBDouglas  11 лет назад +2

    I have placed the two scripts I wrote in Google docs and placed the link in the description.
    I have not modified the existing Nyquist function in Matlab ... it was just a bit of movie magic! After the plots came up I modified them a little by making the lines thicker and such so it's easier for you guys to see. I just edited that part out.

  • @chaitanyagunnu8295
    @chaitanyagunnu8295 2 года назад

    I had no interest in controls until I saw this playlist. He is a pro in explanation.

  • @naofumi6685
    @naofumi6685 5 лет назад

    You are best teacher, So I am the best student....actually We all are......& it's hard to find someone like you....Thanks for everything

  • @lorenzo180596
    @lorenzo180596 5 лет назад

    Today I just skipped my lesson in Modern Design of Control System, because i didn't understand the previous ones about Nyquist, so it wouldn't have been useful going to lesson today.
    Thanks to you, maybe I can go to the next lesson!
    Love u man

  • @CarlosRR02
    @CarlosRR02 9 лет назад

    Control Systems is so much understandable thanks to your videos, I greatly appreciate it!

  • @abdurrahimemin1371
    @abdurrahimemin1371 5 лет назад

    Ms. Braian you are such a brilliant engineer

  • @rodrigosuarez4804
    @rodrigosuarez4804 6 лет назад

    So clear dude. You are the Man Brian. Infinite thanks to you Sir!

  • @musicbox2310
    @musicbox2310 7 лет назад

    I don't knowif your explanation is right or wrong, but I know it's awesome, I don't know why teachers whom I pay lots of money don't explain things like you do. Big like and all the best with your book Brian.

  • @levuthi
    @levuthi 3 года назад

    Brian, you are a funny guy, especially when you expressed your amazement graphing 2 Nyquist plots

  • @mnada72
    @mnada72 4 года назад

    You're awesome, in addition to a great lecture you provide great tools (matlab files)

  • @cool4skull
    @cool4skull 11 лет назад

    Thanks for sharing the matlab code and for the explanation on how you got such a nice Nyquist plot.

  • @SajjQ
    @SajjQ 6 лет назад

    how in the hell can anyone dislike these videos! these are amazing!

  • @StefernOKioni
    @StefernOKioni 10 лет назад +1

    Thank you! These tutorials have really helped me in learning control engineering!

  • @samrustan
    @samrustan 11 лет назад +2

    Thanks for making these videos, Brian. I'm laid-up right now with a broken ankle, so I'm diverting some of my couch and raised-foot time to these lessons. You're really good at driving home the concepts.
    Just an idea: As a recent EE graduate, I'd like to see a video where you design a simple controls system or model or whatever, but without regard to a generic student. Just a straight-forward, "thinking outloud" version of you working through a problem. Just an idea.

  • @bigbuckbunny9073
    @bigbuckbunny9073 9 лет назад +1

    You've almost saved my life, no words can describe how grateful am I. If you can add some videos about z transform & discrete systems control it will be awesome because my teacher sux :D.

  • @indieelectroworks
    @indieelectroworks 4 года назад

    Really nice videos (part 1 and 2). They help a lot to get an intuitive understanding of the topic.

  • @abhinavsixfaces
    @abhinavsixfaces 6 лет назад

    Your videos are so easy to understand. Amazing work. I'll be buying your book when it comes out

  • @mmpmaldo
    @mmpmaldo 2 года назад +1

    I came to your channel like a year ago to study bode plots and it was so good I subscribed, today i was seraching for nyquist plots and not only you were once again flawless in your explanation but I also found the control theory map that my teacher used to present the module. You are influencing both students and teachers around the globe, thank you very much and greetings from barcelona!

  • @flaviusone
    @flaviusone 11 лет назад +1

    I am also waiting for the second part very anxiously.Exams are coming soon and this is just what i need.

  • @Kurzy123
    @Kurzy123 4 года назад

    This is amazing! Loved your Matlab examples!

  • @alanshalgheen1426
    @alanshalgheen1426 2 года назад

    I'm electronics engineering student and I have to say that because of your tutorials even my smartest control&automation mates at the college will lack the understanding I'm getting here of this basic stiff material..!
    No one cares for math as it's pure interference with the core of engineering even those elder professors. even if I fail the final for second time, I'm extremely interested in watching this course.
    Hope you make more content on different areas of "practical control" like microcontrollers and so on.
    Greetings! 💘

  • @annikak8101
    @annikak8101 6 лет назад

    Thank you so much! I had already given up on understanding the logic behind Nyquist but now everything makes sense!

  • @fedemare92
    @fedemare92 4 года назад

    I have yet to come across an explanation of this topic that is as clear and intuitive as these videos.

  • @GabiMartin97
    @GabiMartin97 5 лет назад

    This video is a masterpiece. I had to watch it many times but I have learned a lot! Thank you very much sir, you are awesome

  • @nayanvats3424
    @nayanvats3424 6 лет назад

    extraordinary ..Really takes a lot of effort to assemble all these heavy concepts at one place....thanks :)

  • @sravangatti1730
    @sravangatti1730 7 лет назад

    A very Good lecture with a nice pace .Thank you.

  • @dogukancetin8906
    @dogukancetin8906 5 лет назад

    you've just saved my engineering carrier , thx bro.

  • @dubdub9765
    @dubdub9765 6 дней назад

    You are an absolute legend sir !

  • @林佑-z9h
    @林佑-z9h Год назад

    Thank you, you just saved my final exam!!!