Discrete control #6: z-plane warping and the bilinear transform

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  • Опубликовано: 27 ноя 2024

Комментарии • 71

  • @BrianBDouglas
    @BrianBDouglas  6 лет назад +99

    First!

  • @Jair_inacio_Neto_Teixeira
    @Jair_inacio_Neto_Teixeira 4 года назад +27

    You have been kind of a mentor to me when it comes to controls. Thank you for all the time you invested here... Greetings from Brazil

    • @BrianBDouglas
      @BrianBDouglas  3 года назад +6

      Thanks Matheus! (Only took a year for me to respond, sorry!)

    • @toninogalit
      @toninogalit Год назад

      @@BrianBDouglas
      I have a request for you
      Do you have any email adresse please?
      Thkx

  • @nachiketadeshmukh8444
    @nachiketadeshmukh8444 4 года назад

    Take a bow man!
    What I could not understand in 4 months, this guy explained in 25 minutes. Kudos!!

  • @christianferrer4284
    @christianferrer4284 6 лет назад +1

    Hi Brian, I cannot emphasize enough , how thankful I (and for that matter other hundreds of people) am (are) for your videos. Looking forward to the continuation of this series. Best to you!

  • @MrkostasPT18
    @MrkostasPT18 6 лет назад +10

    Good job man!!! A massive thanks from Greece, Thessaloniki from all the students who are supposed to become engineers

  • @nightrook5732
    @nightrook5732 6 лет назад +1

    I am doing BE and I must say that you are a life saver. Thank you so much

  • @psych.fenatic
    @psych.fenatic 3 года назад

    This is one of the most interesting and informative tutorials I've ever seen. 25mins went like 1 min and I understood everything!!

  • @marco_gallone
    @marco_gallone 6 лет назад +2

    Brian, I cant begin to think how I would be doing in my controls systems classes without your content! keep up the great work. You really do make every concept of control systems less daunting for me and my classmates!

  • @alishahabi6274
    @alishahabi6274 6 лет назад +3

    Your videos are incredible Brian! I very much enjoy them all. You are among a few people I've ever seen that has such a deep understanding about the underlying principles of control. Thanks a lot and keep up the excellent job!

  • @peterlustig2048
    @peterlustig2048 3 года назад

    These lectures are great for gettin the bigger picture. I often feel lost when solving CT-Problems and your explanations keep me going.

  • @mdjesan6435
    @mdjesan6435 11 месяцев назад

    the way you explain everything through your drawing is great

  • @sophatao
    @sophatao 5 лет назад

    Brian, you are an amazing teacher & a fantastic artist! I really appreciate you putting the time into making these videos. Control theory is so difficult for me to wrap my head around, but somehow you make it so easy to understand.

  • @jeffersonpimentamelo
    @jeffersonpimentamelo 6 лет назад +6

    *click* NOICE
    Keep producing content! A huge thanks from Brazil!

  • @kwinvdv
    @kwinvdv 6 лет назад +2

    They never really explained prewarping at my university. They did developed their own tool which automatically warps each filter component at the corresponding frequency, so I always took that for granted. But it is nice to know what is actually going on.
    PS: that tool also shows you the modulus margin of you plant with designed controller, but from searching online it seems that hardly any other university uses that margin as well.

  • @raygold2
    @raygold2 5 лет назад +1

    thank you very much for the videos, are very clear and useful to understand the concepts.
    a great contribution!

  • @YoussefAhmed-uv7ti
    @YoussefAhmed-uv7ti 6 лет назад +1

    Heey..I think I got the chance this time to thank you since the video is just uploaded yesterday, you saved my first semester with your classic control playlist :-) YOU ARE AWESOME REALLY, and I hope you can ends the discrete one soon cause I have a digital control course this semester: 'D and thank you again you cleared a thousands of concepts in both control and signals to me, best of luck

  • @xueshaoyang
    @xueshaoyang 6 лет назад

    So many thanks to you!!!! it is so clear lecture! dame useful !!! as a EE student i am very happy to listening ur lecture!

  • @AakarshNair
    @AakarshNair 2 года назад

    that animation was amazing !

  • @JaimeAdriazola
    @JaimeAdriazola 4 года назад

    the real MVP here

  • @rizaksaleh3269
    @rizaksaleh3269 4 года назад

    OMG thnks for the all videos. i hope it can make me more understand about this
    keep producing content like this sir!!

  • @CORSOGARCIA
    @CORSOGARCIA 4 года назад +1

    Thanks very much for help me to understand this complex items. These seems very easy now. Greetings from Perú¡¡¡

  • @chun-weikong1138
    @chun-weikong1138 4 года назад

    Clear explanation! Wonderful Examples!

  • @parthjoshiastron
    @parthjoshiastron 6 лет назад

    Thank you for all your awesome videos. Looking forward to watching Non-linear control (Lyapunov theory etc), Modern Control Theory.

  • @rickwang4317
    @rickwang4317 2 года назад

    Thank you Brian. The videos are really great!

  • @muhammadahmedkhan7813
    @muhammadahmedkhan7813 4 года назад

    Your videos are awesome! Keep up the good work.

  • @JP-vg8vl
    @JP-vg8vl 3 года назад

    huge thanks from philippines

  • @pgbrasil
    @pgbrasil 4 года назад

    Very nice and useful work. Greetings from Brazil

  • @subhojitdas108
    @subhojitdas108 5 лет назад

    nice way of teaching ....thanks for the visual realization .

  • @aadilahmed67
    @aadilahmed67 6 лет назад +1

    w-transform is another name that is used for the bilinear transform. w-plane also looks like the s-plane . But I guess your warping method provides a more intuitive understanding on how the poles are really moving due to warp.

  • @zewduatlie2654
    @zewduatlie2654 6 лет назад

    i need another video for the next this is awesome

  • @marcosibanez5015
    @marcosibanez5015 3 года назад

    We miss you brian

  • @blitz8229
    @blitz8229 3 года назад

    I love your videos!

  • @ernestogonzalez1274
    @ernestogonzalez1274 3 года назад +1

    Awesome video. one of the most intuitive explanations I've seen on the topic. What did you use to create the warp animation?

    • @BrianBDouglas
      @BrianBDouglas  3 года назад

      Thanks! I used JavaScript and you can download the code at my GitHub: github.com/aerojunkie/control-tools

  • @nkhedekar
    @nkhedekar 6 лет назад

    Excellent video. It would be great if you could make a few videos on other forms of control as well!

  • @koolyo77
    @koolyo77 6 лет назад +1

    Hey Brian, great video as usual! Out of curiosity, what's your occupation? Most likely a controls engineer, but can you enlighten us with details about the specific industry or products you work on?

  • @nazninakter8183
    @nazninakter8183 3 года назад

    Incredible

  • @dongtonthat6961
    @dongtonthat6961 5 лет назад

    Thank you so much your video, it's so cool!

  • @Shark_Oswald
    @Shark_Oswald 6 лет назад

    awesome job!!

  • @bassome3000ify
    @bassome3000ify 6 лет назад +23

    Aren't we lucky or what?!

  • @blessoneasovarghese9834
    @blessoneasovarghese9834 4 года назад

    If Bilinear transform results in warping, why cant we directly substitute, s=1/T*ln(z) ? What benefit does bilinear transform have over this?

  • @abhi3142
    @abhi3142 3 года назад

    To convert a continuous domain TF to discrete domain - What are disadvantages of sampling H(s) at discrete frequencies and using invfreqz in Matlab rather than using bilinear transform?

  • @shubhamnayak9369
    @shubhamnayak9369 3 года назад +1

    I am now confused when you took T=2 and said sampled frequency=1/2 and Nyquist Freq =1/4. I studied that Nyquist Freq is 2fmax so it should be 1 i.e 2π rad

  • @prasanthkumar1770
    @prasanthkumar1770 6 лет назад

    Sir, Please make videos on State space analysis and design of control systems.

  • @chrism95
    @chrism95 6 лет назад

    Are you continuing these videos? And do you know of any other good resources for discrete control specifically dealing with state space methods? Thank you!

  • @giuseppecastaldi1390
    @giuseppecastaldi1390 3 года назад

    Hi spectacular videos. A question: what if I design the filter in time or s domain and then digitalize it using backward euler integration method?

  • @hamadafridi1017
    @hamadafridi1017 5 лет назад

    How would you do the discretization in state space model for a MIMO system.

  • @rubenmata73
    @rubenmata73 3 года назад

    Great!!!!

  • @GustavoSoaresTutu
    @GustavoSoaresTutu 4 года назад

    sweet!

  • @mohamedkandil8782
    @mohamedkandil8782 6 лет назад +5

    Awesome video man ! btw, did you hear about the rumors of state space ? they said that a guy called brain will make it in the next video !! :D :D :P @Brian Douglas

    • @BrianBDouglas
      @BrianBDouglas  6 лет назад +7

      State space? I almost forgot!

    • @mohamedkandil8782
      @mohamedkandil8782 6 лет назад +2

      Brian Douglas oh no ! Please don't forget ! By the name of control theory we request the state space video to come out :D

  • @kethanchauhan9418
    @kethanchauhan9418 6 лет назад

    hey! brian, can u make videos for QFT design or suggest a good referance for that!!
    thanks :)

  • @TheCatalystAstro
    @TheCatalystAstro 4 года назад

    Hello Brian, I 've been checking with a low-pass filter of Butterworth and it does not result the same than what you show here. What I did was changing the W at 1%, 50% and 75% and there was no effect. Can you help me. Maybe can I send you my code of Matlab?

  • @Kathir.T
    @Kathir.T 5 лет назад

    Awesome video! How did you make those interactive animations on an HTML webpage?

  • @ediseverywhere
    @ediseverywhere 6 лет назад

    How does bilinear warping affect points outside the z-domain unit circle?

    • @aadilahmed67
      @aadilahmed67 6 лет назад

      why does it matter? we don't deal in the performance of unstable systems

    • @ediseverywhere
      @ediseverywhere 6 лет назад

      Stable systems can have zeros located in the right-half plane / outside the unit circle.

    • @aadilahmed67
      @aadilahmed67 6 лет назад

      Unstable zeros are not desirable as they cause an undershoot in the response.

  • @foosabraun2461
    @foosabraun2461 6 лет назад +1

    Yay! :DDDD

  • @IceTurf
    @IceTurf 3 года назад

    Wa vs Wd???? What was Wa? What was Wd?

  • @Avalanchanime
    @Avalanchanime 3 года назад

    Am just gonna say *R^3* and i'll retreate slowly...

  • @19Giovanni93
    @19Giovanni93 6 лет назад +1

  • @alrojas5843
    @alrojas5843 3 года назад

    Don't like your video, you jump around to much.
    When you say woops I made a mistake and change parameters, you lose your audience.