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

[@BrianBDouglas]

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]

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]

@@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]

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

[@BrianBDouglas]

@@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]

@@BrianBDouglas thanks, i'm waiting

[@emilianotca]

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.

[@abdelz1617]

Facts

[@ACamposHorn]

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[@pedrogalvez6399]

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]

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

[@mrknarf4438]

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

[@user-sn4me6du7p]

So did I

[@petercruze3275]

😂😂Me too bruh

[@thomaswijgerse723]

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

[@ecolucid]

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]

like literally crying? seriously?

[@ahmadalghooneh2105]

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

[@magtazeum4071]

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

[@jeffreyyoung2727]

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

[@oladipoquadri771]

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]

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

[@shando_tube]

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

[@shacharliberman5084]

YES

[@asongfromunderthefloorboards]

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.

[@ivanzelinka1282]

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

[@nikash97]

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

[@kameelamareen]

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]

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

[@MrEdnz]

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

[@lime2226]

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]

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

[@anitmalik]

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

[@ytano5782]

I like your cooperation with Mathworks.

[@danielbadel1226]

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

[@BihnDan]

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

[@Sal19]

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

[@alexjimenez6020]

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

[@MATLAB]

Glad it was helpful!

[@zainmubarak8679]

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

[@satiroglu44]

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

[@oldcowbb]

wait, is this Brian Douglas

[@BrianBDouglas]

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]

@@BrianBDouglas absolutely going to!

[@goranstojanoski2]

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

[@stevenwiliamsoputra5414]

his sound is familiar, hahah

[@capitansheriff7426]

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

[@edizferitkula9920]

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

[@engmshawky]

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

[@senorimotor]

Fantastic. So we’ll done and presented!

[@fifaham]

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.

[@othmaneelhaid7710]

that's amazing, thanks from morocco to you

[@MATLAB]

Glad you liked it!

[@leopsico1]

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

[@user-py3vj4mf7r]

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]

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.

[@pravinpalve3771]

very intuitive

[@jdennee]

Your presentations are so good!

[@mattmurphy7030]

This was amazing, thank you!

[@jesusmartinez7642]

Very nice Brian, thanks a lot !!

[@Segovaxxx]

awesome lesson Brian!

[@martantoine9977]

cristal clear explanation ! thanks

[@soldier2521986]

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

[@shacharliberman5084]

These videos are amazing!

[@hamzaahmedmir]

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

[@muhammadqaisarali]

I listen my university teachers at 1.5x

[@alirezaghaderi]

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

[@muhammadqaisarali]

@@alirezaghaderi 😂😂😂

[@osamakhan208]

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

[@vicen1090]

This is simply amazing!

[@explainedshow]

Great Video and Explanation.

[@RoboGenesHimanshuVerma]

Thank you Brian. Very interesting

[@samirelzein1095]

They did! Good job!

[@beincheekym8]

Thank you for the nice video! Very clear.

[@berihagebretsadik4813]

thanks Brain

[@s1mplelance964]

Great explaination!

[@juancacaku6301]

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

[@OndrejPistora]

Awesome video!!!

[@user-nn8qy6tb7z]

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

[@aakashdewangan7313]

you are incredible man.. :)

[@siqili828]

hey, it is Brian Douglas!

[@blakshmipriya2853]

awesome lecture!

[@blitz8229]

Great video!

[@Verkel23]

thanks brian ....

[@supern0is349]

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?

[@hadihosseinionari8921]

Amazing.

[@SarahHempton]

bless you

[@REDSLibrary]

Very good

[@jcalvarezg]

This is Awesome!!!!

[@selmakerdous8047]

thank you

[@_eeeshi_]

Plz provide video for robust control techniques

[@leizhao1387]

Awesome ！

[@TheAladnany]

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

[@tahiranaseem9621]

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?

[@nandakishorpanda126]

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

[@TheNikhilmishras]

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

[@sashamuller9743]

same man

[@danawen555]

cool video！

[@wendylyu6513]

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

[@BrianBDouglas]

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

[@wendylyu6513]

@@BrianBDouglas THanks a lot.

[@navadeep.ganesh]

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

[@eamonhannon1103]

What do you mean by the term “modal” ?

[@jackearhart3680]

banger video

[@etpaprika]

How are the two equations derived?

[@engmshawky]

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]

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

[@joybuendia6742]

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

[@Shark_Oswald]

Congret ! Brain

[@BrianBDouglas]

Thanks!

[@lgninjalo]

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

[@diemilio]

p for position? 💀

[@diemilio]

😂

[@oldcowbb]

zeroth!

[@phillipmaser132]

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.

[@robruble9]

Hi MATLAB

[@Amine-gz7gq]

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

[@Shark_Oswald]

Brain?

[@mhgscrubadub9917]

Brain hurty

[@kavinashokan5692]

can't even get a single word

[@nelsonortiz7859]

[@timanb2491]

заебись лекция

[@raheelmughal2447]

TOO FAST !!

[@FI-Schutzschalter]

my prof is trash

[@juliusveneziani9455]

I didn't understand shit 😊