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

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  • Опубліковано 25 гру 2024

КОМЕНТАРІ • 71

  • @Jair_inacio_Neto_Teixeira
    @Jair_inacio_Neto_Teixeira 5 років тому +28

    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 роки тому +6

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

    • @toninogalit
      @toninogalit Рік тому

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

  • @BrianBDouglas
    @BrianBDouglas  6 років тому +101

    First!

  • @nachiketadeshmukh8444
    @nachiketadeshmukh8444 4 роки тому

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

  • @christianferrer4284
    @christianferrer4284 6 років тому +2

    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 років тому +11

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

  • @psych.fenatic
    @psych.fenatic 3 роки тому

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

  • @mdjesan6435
    @mdjesan6435 Рік тому

    the way you explain everything through your drawing is great

  • @alishahabi6274
    @alishahabi6274 6 років тому +4

    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 роки тому

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

  • @marco_gallone
    @marco_gallone 6 років тому +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!

  • @nightrook5732
    @nightrook5732 6 років тому +1

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

  • @CORSOGARCIA
    @CORSOGARCIA 4 роки тому +1

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

  • @AakarshNair
    @AakarshNair 2 роки тому

    that animation was amazing !

  • @pgbrasil
    @pgbrasil 4 роки тому

    Very nice and useful work. Greetings from Brazil

  • @JP-vg8vl
    @JP-vg8vl 3 роки тому

    huge thanks from philippines

  • @YoussefAhmed-uv7ti
    @YoussefAhmed-uv7ti 6 років тому +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 років тому

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

  • @sophatao
    @sophatao 5 років тому

    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 років тому +6

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

  • @chun-weikong1138
    @chun-weikong1138 4 роки тому

    Clear explanation! Wonderful Examples!

  • @kwinvdv
    @kwinvdv 6 років тому +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 років тому +1

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

  • @rickwang4317
    @rickwang4317 2 роки тому

    Thank you Brian. The videos are really great!

  • @JaimeAdriazola
    @JaimeAdriazola 4 роки тому

    the real MVP here

  • @rizaksaleh3269
    @rizaksaleh3269 4 роки тому

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

  • @muhammadahmedkhan7813
    @muhammadahmedkhan7813 4 роки тому

    Your videos are awesome! Keep up the good work.

  • @subhojitdas108
    @subhojitdas108 5 років тому

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

  • @parthjoshiastron
    @parthjoshiastron 6 років тому

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

  • @blitz8229
    @blitz8229 3 роки тому

    I love your videos!

  • @ernestogonzalez1274
    @ernestogonzalez1274 3 роки тому +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 роки тому

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

  • @nkhedekar
    @nkhedekar 6 років тому

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

  • @zewduatlie2654
    @zewduatlie2654 6 років тому

    i need another video for the next this is awesome

  • @nazninakter8183
    @nazninakter8183 3 роки тому

    Incredible

  • @aadilahmed67
    @aadilahmed67 6 років тому +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.

  • @koolyo77
    @koolyo77 6 років тому +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?

  • @dongtonthat6961
    @dongtonthat6961 5 років тому

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

  • @marcosibanez5015
    @marcosibanez5015 3 роки тому

    We miss you brian

  • @Shark_Oswald
    @Shark_Oswald 6 років тому

    awesome job!!

  • @abhi3142
    @abhi3142 3 роки тому

    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?

  • @bassome3000ify
    @bassome3000ify 6 років тому +23

    Aren't we lucky or what?!

  • @giuseppecastaldi1390
    @giuseppecastaldi1390 3 роки тому

    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?

  • @rubenmata73
    @rubenmata73 4 роки тому

    Great!!!!

  • @prasanthkumar1770
    @prasanthkumar1770 6 років тому

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

  • @chrism95
    @chrism95 6 років тому

    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!

  • @Kathir.T
    @Kathir.T 5 років тому

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

  • @hamadafridi1017
    @hamadafridi1017 5 років тому

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

  • @shubhamnayak9369
    @shubhamnayak9369 4 роки тому +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

  • @blessoneasovarghese9834
    @blessoneasovarghese9834 4 роки тому

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

  • @GustavoSoaresTutu
    @GustavoSoaresTutu 4 роки тому

    sweet!

  • @TheCatalystAstro
    @TheCatalystAstro 4 роки тому

    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?

  • @kethanchauhan9418
    @kethanchauhan9418 6 років тому

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

  • @ediseverywhere
    @ediseverywhere 6 років тому

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

    • @aadilahmed67
      @aadilahmed67 6 років тому

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

    • @ediseverywhere
      @ediseverywhere 6 років тому

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

    • @aadilahmed67
      @aadilahmed67 6 років тому

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

  • @mohamedkandil8782
    @mohamedkandil8782 6 років тому +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 років тому +7

      State space? I almost forgot!

    • @mohamedkandil8782
      @mohamedkandil8782 6 років тому +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

  • @foosabraun2461
    @foosabraun2461 6 років тому +1

    Yay! :DDDD

  • @IceTurf
    @IceTurf 3 роки тому

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

  • @Avalanchanime
    @Avalanchanime 4 роки тому

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

  • @19Giovanni93
    @19Giovanni93 6 років тому +1

  • @alrojas5843
    @alrojas5843 3 роки тому

    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.