Introduction to State-Space Equations | State Space, Part 1

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  • @emilianotca
    @emilianotca 2 ปีที่แล้ว +92

    Brian Douglas: the great explainer. The fact that this content is 100% free is one of the reasons why I think that the internet is the greatest invention of all the time.

  • @BrianBDouglas
    @BrianBDouglas 5 ปีที่แล้ว +486

    Hey everyone, thanks for watching this video! If you have any questions or comments that you'd like me to see, please leave them under this comment so that I get notified and can respond. Cheers!

    • @AnotherGamer21
      @AnotherGamer21 5 ปีที่แล้ว +2

      Hello! Is there a course on mobile robot trajectory following? Specifically, pure pursuit algorithm. I'd love to see a proper explanation on this subject!

    • @BrianBDouglas
      @BrianBDouglas 5 ปีที่แล้ว +5

      @@AnotherGamer21! I don't have any videos on the topic (but that's a good idea!). Here's a Mathworks page that introduces the controller a bit. www.mathworks.com/help/robotics/ug/pure-pursuit-controller.html.

    • @benallia8262
      @benallia8262 5 ปีที่แล้ว +3

      Brian, can you do a video explaining observibility and controllability in the state space equations??

    • @BrianBDouglas
      @BrianBDouglas 5 ปีที่แล้ว +8

      @@benallia8262 , I'm working on that video right now. It'll be the 3rd in the series. Although, it'll approach the concepts more than the equations.

    • @benallia8262
      @benallia8262 5 ปีที่แล้ว

      @@BrianBDouglas thanks, i'm waiting

  • @ecolucid
    @ecolucid 2 ปีที่แล้ว +8

    I literally cry every time I watch one of your videos. I'm a researcher and there are so many things I needed to understand to get stuff done. I always felt overwhelmed by the task. But no more.
    Really! Thank you....

    • @EEAMD-co6nw
      @EEAMD-co6nw ปีที่แล้ว +1

      like literally crying? seriously?

  • @jeffreyyoung2727
    @jeffreyyoung2727 5 ปีที่แล้ว +30

    Brian the LEGEND Douglas at it again! Thank you so much for your tutorials Brian! They're INCREDIBLY helpful

  • @oladipoquadri771
    @oladipoquadri771 3 ปีที่แล้ว +2

    I've been trying to fully grasp the state-space model for a few days now and I only just understood everything I've been reading. Thanks so much for your explanation.

    • @laithazzooz4017
      @laithazzooz4017 3 ปีที่แล้ว

      me too I have to submit literally next week and this presentation was very helpful

  • @ivanzelinka1282
    @ivanzelinka1282 4 ปีที่แล้ว +4

    Perfect, simple, clear, without any fuzziness... thanks!

  • @shando_tube
    @shando_tube 5 ปีที่แล้ว +15

    learned more in this video than in the first 10 lectures of my state variables class, thanks Brian Douglas

    • @shacharliberman5084
      @shacharliberman5084 5 ปีที่แล้ว

      YES

    • @asongfromunderthefloorboards
      @asongfromunderthefloorboards 4 ปีที่แล้ว

      Maybe it was review for some people who covered state space models in previous classes but I had no real idea of why we were putting the differential equation into matrix form and what X, Y, A, B, C, and D represented. I'm reviewing for an exam and decided to take a conceptual step back and it makes way more sense now.

  • @kameelamareen
    @kameelamareen 5 ปีที่แล้ว +10

    Amazing intuitive overview !! Thank you for your amazing videos, helped me grasp the true essence of classical control and now the modern ! A legend gotta say !

  • @wiloberlies9598
    @wiloberlies9598 5 ปีที่แล้ว +5

    Just keep getting better.....this is great work Brian, thank you.

  • @danielbadel1226
    @danielbadel1226 5 ปีที่แล้ว +5

    Hey Brian! Excellent work, you make everything look so easier and super intuitive

  • @oldcowbb
    @oldcowbb 5 ปีที่แล้ว +106

    wait, is this Brian Douglas

    • @BrianBDouglas
      @BrianBDouglas 5 ปีที่แล้ว +59

      It is! I have been making some videos for the MATLAB channel for about 7 months now. If you haven't seen them yet, I have series on PID control, practical control topics, drone simulation and control, and linearization.

    • @oldcowbb
      @oldcowbb 5 ปีที่แล้ว +1

      @@BrianBDouglas absolutely going to!

    • @goranstojanoski2
      @goranstojanoski2 5 ปีที่แล้ว +4

      It was the same question that hit me when the video started. :D

    • @stevenwiliamsoputra5414
      @stevenwiliamsoputra5414 4 ปีที่แล้ว +3

      his sound is familiar, hahah

  • @lime2226
    @lime2226 8 หลายเดือนก่อน

    Awesome! My lecturer had no interest in explaining the concepts, just how to solve the equations given all the parameters, so this is a perfect complement! Thank you!

    • @BrianBDouglas
      @BrianBDouglas 8 หลายเดือนก่อน

      That's exactly what I was hoping for ☺ I think of these videos as complements to a traditional course just to provide a little foundation before jumping into the theory

  • @zainmubarak8679
    @zainmubarak8679 5 ปีที่แล้ว +2

    Thank you brain for all of your videos the way you are explaining topics is very good...i wish the best for you

  • @alexjimenez6020
    @alexjimenez6020 2 ปีที่แล้ว +1

    Amazing explanation Brian! This video has helped me a lot to understand this topic better. Thank you for such content!

    • @MATLAB
      @MATLAB  2 ปีที่แล้ว +1

      Glad it was helpful!

  • @satiroglu44
    @satiroglu44 2 หลายเดือนก่อน

    That Brian Douglas? I was sad he didn't have content on this topic and this was like an alternative option and now it's his voice wow

  • @capitansheriff7426
    @capitansheriff7426 2 ปีที่แล้ว

    kudos.your explanation brought back a lot of memories on what i learnt some time past. thanks for the help.

  • @edizferitkula9920
    @edizferitkula9920 2 ปีที่แล้ว

    Awsome video, I was searching for this. It just answered all of my questions about state space models.

  • @soldier2521986
    @soldier2521986 ปีที่แล้ว +1

    The lecture is very helpful.
    Can you show me what software you use to write and draw?
    Thanks you!

  • @leopsico1
    @leopsico1 4 ปีที่แล้ว

    Thank you of the explanation! Really clear information to help visualize what is happen beyond numbers.

  • @jdennee
    @jdennee 3 ปีที่แล้ว

    Your presentations are so good!

  • @shacharliberman5084
    @shacharliberman5084 5 ปีที่แล้ว +1

    These videos are amazing!

  • @mattmurphy7030
    @mattmurphy7030 ปีที่แล้ว

    This was amazing, thank you!

  • @samirelzein1095
    @samirelzein1095 2 ปีที่แล้ว

    They did!
    Good job!

  • @OndrejPistora
    @OndrejPistora 5 ปีที่แล้ว +1

    Awesome video!!!

  • @vicen1090
    @vicen1090 3 ปีที่แล้ว

    This is simply amazing!

  • @supern0is349
    @supern0is349 2 ปีที่แล้ว

    you say that the reason why we can use differential equations is because the way the system is changing depends upon the current state
    but how could it be different?
    what would a system that cannot be represented by differential equations even look like?
    I always assume differential equations are a property of nature itself, but is it? Or is just a way that is convenient for us?

  • @سُنَّةُالْأَوَّلِين
    @سُنَّةُالْأَوَّلِين 3 ปีที่แล้ว

    thank you brian always you got the top mark
    I was wondering which software you use in the lecture ? I liked it

  • @siqili828
    @siqili828 4 ปีที่แล้ว +1

    hey, it is Brian Douglas!

  • @deepakshankarv
    @deepakshankarv 15 วันที่ผ่านมา

    Thank you

  • @_eeeshi_
    @_eeeshi_ 4 ปีที่แล้ว

    Plz provide video for robust control techniques

  • @REDSLibrary
    @REDSLibrary 5 ปีที่แล้ว +1

    Very good

  • @NeelChougule
    @NeelChougule 5 วันที่ผ่านมา

    1:36 stability, more energy dissipation= more stable

  • @leizhao1387
    @leizhao1387 5 ปีที่แล้ว +1

    Awesome !

  • @SarahHempton
    @SarahHempton ปีที่แล้ว

    bless you

  • @hadihosseinionari8921
    @hadihosseinionari8921 2 ปีที่แล้ว

    Amazing.

  • @TheNikhilmishras
    @TheNikhilmishras 5 ปีที่แล้ว +1

    Am building a model rocket with gimbal control. What should I do?

  • @navadeep025
    @navadeep025 4 ปีที่แล้ว

    May I know the software used for it ? To create those sketches for describing video.

  • @jackearhart3680
    @jackearhart3680 3 ปีที่แล้ว

    banger video

  • @joybuendia6742
    @joybuendia6742 4 ปีที่แล้ว

    Watch a video of Brian Douglas it's like watch a movie of Will Smith, you know it will be awesome

  • @lgninjalo
    @lgninjalo 2 ปีที่แล้ว

    Thanks for this video. I'm getting my ass kicked and appreciate this video, a LOT.

  • @Segovaxxx
    @Segovaxxx 5 ปีที่แล้ว +2

    awesome lesson Brian!

  • @diemilio
    @diemilio 4 หลายเดือนก่อน +1

    p for position? 💀

    • @diemilio
      @diemilio 2 หลายเดือนก่อน

      😂

  • @Shark_Oswald
    @Shark_Oswald 5 ปีที่แล้ว +2

    Brain?

  • @nelsonortiz7859
    @nelsonortiz7859 3 ปีที่แล้ว

  • @mhgscrubadub9917
    @mhgscrubadub9917 ปีที่แล้ว

    Brain hurty

  • @raheelmughal2447
    @raheelmughal2447 5 ปีที่แล้ว +5

    TOO FAST !!

  • @FI-Schutzschalter
    @FI-Schutzschalter 11 หลายเดือนก่อน

    my prof is trash

  • @pedrogalvez6399
    @pedrogalvez6399 5 ปีที่แล้ว +213

    I studied Control Systems 5 years ago at University. The teacher was awful and the lectures were boring as hell. I still dont know how I managed to pass... Anyway, I found this video incredibly well explained: easy, clear and concise! I think that I have learnt more about the basics of Control System in these 14 minutes than I did in 3 months of lectures at University. Big thanks!!

    • @Lemar024
      @Lemar024 4 ปีที่แล้ว +1

      this is literally half of your first lecture in that course, how is it equal to 3 months?

    • @mrknarf4438
      @mrknarf4438 3 ปีที่แล้ว +19

      @@Lemar024 you'd be amazed how much more useful a single clear explanation can be, compared to months of unengaging lectures...

    • @박진현-p3h
      @박진현-p3h 3 ปีที่แล้ว +2

      So did I

    • @petercruze3275
      @petercruze3275 2 ปีที่แล้ว +2

      😂😂Me too bruh

    • @thomaswijgerse723
      @thomaswijgerse723 2 ปีที่แล้ว

      @@Lemar024 yeah, this is a good video for getting an intuitive understanding, but its no where near comparable to a full lecture

  • @selmakerdous8047
    @selmakerdous8047 ปีที่แล้ว

    thank you

  • @hamzaahmedmir
    @hamzaahmedmir 4 ปีที่แล้ว +19

    listen by switching to 0.75x speed and save a life :)

    • @muhammadqaisarali
      @muhammadqaisarali 3 ปีที่แล้ว

      I listen my university teachers at 1.5x

    • @alirezaghaderi
      @alirezaghaderi 3 ปีที่แล้ว

      @@muhammadqaisarali me at 2.5 speed :))))

    • @muhammadqaisarali
      @muhammadqaisarali 3 ปีที่แล้ว

      @@alirezaghaderi 😂😂😂

    • @osamakhan208
      @osamakhan208 3 ปีที่แล้ว

      I have a lecturer 10/10 lad, he talks with so much clarity u can go 3.5x without having any problems

  • @magtazeum4071
    @magtazeum4071 4 ปีที่แล้ว +9

    It's so good see Brian here MATLAB.. I miss his channel

  • @김준상-q2b
    @김준상-q2b 5 ปีที่แล้ว +4

    If you differentiate the position value, you get velocity.
    Then we can express it in a first-order way, not in a second-order way?

    • @robin9740
      @robin9740 5 ปีที่แล้ว +1

      The idea is that you reduce second derivatives to first derivatives of the first derivative. This couples the second derivative with the first as a system of two linear equations dependant on the position and its first derivative.
      For some systems you literally say the first derivative of x equals the first derivative of x.

  • @ahmadalghooneh2105
    @ahmadalghooneh2105 5 ปีที่แล้ว +5

    Brian, it is now 3 years that I follow you on your videos, and alll are awesom

  • @MrEdnz
    @MrEdnz 4 ปีที่แล้ว +4

    Amazing video, nice to go back to the basics! Sometimes you forget what you’re actually working with 😅

  • @ytano5782
    @ytano5782 5 ปีที่แล้ว +4

    I like your cooperation with Mathworks.

  • @nikash97
    @nikash97 4 ปีที่แล้ว +2

    This is like explanation of Kalman Filter basics. Great video!

  • @anitmalik
    @anitmalik ปีที่แล้ว +1

    Thanks Brian for sharing. Excellent and practical explanations. Keep the good work. Every work was chosen in the video and value for the time

  • @Sal19
    @Sal19 5 ปีที่แล้ว +3

    Thanks a lot for your lessons
    I literally would be lost without them. please keep making great videos.

  • @juancacaku6301
    @juancacaku6301 5 ปีที่แล้ว +1

    Excellent video , thanks. Do you have any video about braking force in electric vehicles?, with state space equations, please.

  • @oldcowbb
    @oldcowbb 5 ปีที่แล้ว +2

    zeroth!

  • @Verkel23
    @Verkel23 5 ปีที่แล้ว +1

    thanks brian ....

  • @jesusmartinez7642
    @jesusmartinez7642 5 ปีที่แล้ว +1

    Very nice Brian, thanks a lot !!

  • @fifaham
    @fifaham 2 ปีที่แล้ว

    This video is truly an amazing lecture, although it is very brief and thoughtful. It is sad to see many hobbyists and some engineers building their models based on an extremely basic mathematical model u = kp*eP + ki*eI + kd*eD. However they ignored the other influances such as external disturbances, internal disturbance, unpredictable PID gain changes, and system specifications as the system is operating in the Real World. Many of those systems screwed up because they did not account for those influances described by the Dynamic Matrix Control (DMC). Hobbyiests and engineers should learn (even a little) about state of system by exposing the variables on the DMC Matrix. This is why you find people launching model rocket and it ends up whirling in the air and crashing, or producing unstable or unpredictable results > because they did not account for variables that contribute to the system output. An example: you can not predict the flight of a space vehicle if you dont anticipate how every thing is influancing its travel in the space over time as things change, noise and disturbance and the state of the components operating the vehicle itself are changing. I think I have said enough.

  • @Shark_Oswald
    @Shark_Oswald 5 ปีที่แล้ว +2

    Congret ! Brain

  • @berihagebretsadik4813
    @berihagebretsadik4813 5 ปีที่แล้ว +1

    thanks
    Brain

  • @beincheekym8
    @beincheekym8 2 ปีที่แล้ว

    Thank you for the nice video! Very clear.

  • @phillipmaser132
    @phillipmaser132 4 ปีที่แล้ว

    Brian, you are bad to the bone... All your videos show different views and insights. Any chance you could make a video on MIMO systems no one can cover this correctly special in state-space form. Let's say we have Pressure and Temperature coming in one output representing this equation then one wants to see the Pressure and Temperature as single units on the output as well. 2 in x 3 out.

  • @TheAladnany
    @TheAladnany 4 ปีที่แล้ว

    Hi, Can you talk about Harmonic State Space Model with a simple example, Please.

  • @tahiranaseem9621
    @tahiranaseem9621 4 ปีที่แล้ว

    Hi, how to identify the state variables in the state space models' equations ; means to know that which state of the system is being represented by the variables?

  • @explainedshow
    @explainedshow 2 ปีที่แล้ว

    Great Video and Explanation.

  • @pravinpalve3771
    @pravinpalve3771 8 หลายเดือนก่อน

    very intuitive

  • @RoboGenesHimanshuVerma
    @RoboGenesHimanshuVerma 3 ปีที่แล้ว

    Thank you Brian. Very interesting

  • @senorimotor
    @senorimotor 2 ปีที่แล้ว

    Fantastic. So we’ll done and presented!

  • @nandakishorpanda126
    @nandakishorpanda126 4 ปีที่แล้ว

    Hi ! I was wondering how to formulate the state space matrices from differential equations when there is a white noise associated with one of the parameters. For eg:d x1/dt = V*x1+2* u where V= 8+ white noise with variance .2 and u is input

  • @blitz8229
    @blitz8229 3 ปีที่แล้ว

    Great video!

  • @eamonhannon1103
    @eamonhannon1103 2 ปีที่แล้ว

    What do you mean by the term “modal” ?

  • @BihnDan
    @BihnDan 2 ปีที่แล้ว

    This is a BRILLIANT overview/explanation - best I’ve seen. Thanks!

  • @martantoine9977
    @martantoine9977 2 ปีที่แล้ว

    cristal clear explanation ! thanks

  • @etpaprika
    @etpaprika 3 ปีที่แล้ว

    How are the two equations derived?

  • @aakashdewangan7313
    @aakashdewangan7313 ปีที่แล้ว

    you are incredible man.. :)

  • @engmshawky
    @engmshawky 4 ปีที่แล้ว

    thank you because of your amazing videos ,i wish that all teachers like you

  • @kavinashokan5692
    @kavinashokan5692 4 ปีที่แล้ว

    can't even get a single word

  • @s1mplelance964
    @s1mplelance964 2 ปีที่แล้ว

    Great explaination!

  • @timanb2491
    @timanb2491 3 ปีที่แล้ว

    заебись лекция

  • @blakshmipriya2853
    @blakshmipriya2853 3 ปีที่แล้ว

    awesome lecture!

  • @engmshawky
    @engmshawky 4 ปีที่แล้ว

    please i want to know what is the name of that program ,that you are using in writing ,and how can i find it

    • @BrianBDouglas
      @BrianBDouglas 4 ปีที่แล้ว +1

      I describe my set up here: engineeringmedia.com/my-setup

  • @danawen555
    @danawen555 4 ปีที่แล้ว

    cool video!

  • @othmaneelhaid7710
    @othmaneelhaid7710 ปีที่แล้ว

    that's amazing, thanks from morocco to you

    • @MATLAB
      @MATLAB  ปีที่แล้ว

      Glad you liked it!

  • @jcalvarezg
    @jcalvarezg 4 ปีที่แล้ว

    This is Awesome!!!!

  • @robruble9
    @robruble9 2 ปีที่แล้ว

    Hi MATLAB

    • @Amine-gz7gq
      @Amine-gz7gq 4 หลายเดือนก่อน

      it's a commercial software you know. we need to use open source alternatives.

  • @wendylyu6513
    @wendylyu6513 4 ปีที่แล้ว

    I love the style It is a great job. Thank you. And how to make a video in this style?

    • @BrianBDouglas
      @BrianBDouglas 4 ปีที่แล้ว

      Hi Wendy, I describe my set up here: engineeringmedia.com/my-setup

    • @wendylyu6513
      @wendylyu6513 4 ปีที่แล้ว

      @@BrianBDouglas THanks a lot.

  • @juliusveneziani9455
    @juliusveneziani9455 ปีที่แล้ว

    I didn't understand shit 😊