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Introduction to State-Space Equations | State Space, Part 1
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- Опубліковано 16 сер 2024
- Check out the other videos in the series: • State Space
Part 2 - Pole placement: • What is Pole Placement...
Part 3 - Observability and Controllability: • A Conceptual Approach ...
Part 4 - What Is LQR Optimal Control: • What Is Linear Quadrat...
Let’s introduce the state-space equations, the model representation of choice for modern control. This video is the first in a series on MIMO control and will provide some intuition around how to think about state variables and why this representation is so powerful.
Having a solid foundational knowledge of state space and state variables will help you learn the control techniques built on state space models like Kalman filtering, LQR control, robust control, and model predictive control.
- State-Space Models, Part 1: Creation and Analysis: bit.ly/2H0TOqj
- State-Space Models, Part 2: Control Design: bit.ly/2H1Ymgc
- Dr. Rick Hill’s explanation of choosing states based on energy: bit.ly/2GZyUrD
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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!
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!
@@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.
Brian, can you do a video explaining observibility and controllability in the state space equations??
@@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.
@@BrianBDouglas thanks, i'm waiting
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.
Facts
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!!
this is literally half of your first lecture in that course, how is it equal to 3 months?
@@Lemar024 you'd be amazed how much more useful a single clear explanation can be, compared to months of unengaging lectures...
So did I
😂😂Me too bruh
@@Lemar024 yeah, this is a good video for getting an intuitive understanding, but its no where near comparable to a full lecture
Brian, it is now 3 years that I follow you on your videos, and alll are awesom
It's so good see Brian here MATLAB.. I miss his channel
Brian the LEGEND Douglas at it again! Thank you so much for your tutorials Brian! They're INCREDIBLY helpful
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....
like literally crying? seriously?
Perfect, simple, clear, without any fuzziness... thanks!
Just keep getting better.....this is great work Brian, thank you.
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 !
This is like explanation of Kalman Filter basics. Great video!
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.
me too I have to submit literally next week and this presentation was very helpful
Thanks Brian for sharing. Excellent and practical explanations. Keep the good work. Every work was chosen in the video and value for the time
Hey Brian! Excellent work, you make everything look so easier and super intuitive
learned more in this video than in the first 10 lectures of my state variables class, thanks Brian Douglas
YES
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.
Amazing video, nice to go back to the basics! Sometimes you forget what you’re actually working with 😅
Thanks a lot for your lessons
I literally would be lost without them. please keep making great videos.
I like your cooperation with Mathworks.
This is a BRILLIANT overview/explanation - best I’ve seen. Thanks!
Thank you brain for all of your videos the way you are explaining topics is very good...i wish the best for you
Amazing explanation Brian! This video has helped me a lot to understand this topic better. Thank you for such content!
Glad it was helpful!
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
wait, is this Brian Douglas
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.
@@BrianBDouglas absolutely going to!
It was the same question that hit me when the video started. :D
his sound is familiar, hahah
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!
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
kudos.your explanation brought back a lot of memories on what i learnt some time past. thanks for the help.
Awsome video, I was searching for this. It just answered all of my questions about state space models.
Fantastic. So we’ll done and presented!
awesome lesson Brian!
very intuitive
thank you because of your amazing videos ,i wish that all teachers like you
Your presentations are so good!
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.
Very nice Brian, thanks a lot !!
Thank you of the explanation! Really clear information to help visualize what is happen beyond numbers.
They did!
Good job!
cristal clear explanation ! thanks
Awesome video!!!
This was amazing, thank you!
Great explaination!
This is simply amazing!
These videos are amazing!
Great Video and Explanation.
that's amazing, thanks from morocco to you
Glad you liked it!
Thank you Brian. Very interesting
awesome lecture!
listen by switching to 0.75x speed and save a life :)
I listen my university teachers at 1.5x
@@muhammadqaisarali me at 2.5 speed :))))
@@alirezaghaderi 😂😂😂
I have a lecturer 10/10 lad, he talks with so much clarity u can go 3.5x without having any problems
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?
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.
Thank you for the nice video! Very clear.
thanks
Brain
Great video!
you are incredible man.. :)
bless you
hey, it is Brian Douglas!
Amazing.
Very good
This is Awesome!!!!
The lecture is very helpful.
Can you show me what software you use to write and draw?
Thanks you!
Awesome ！
Excellent video , thanks. Do you have any video about braking force in electric vehicles?, with state space equations, please.
thanks brian ....
thank you
thank you brian always you got the top mark
I was wondering which software you use in the lecture ? I liked it
cool video！
banger video
Plz provide video for robust control techniques
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?
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
Hi, Can you talk about Harmonic State Space Model with a simple example, Please.
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?
Am building a model rocket with gimbal control. What should I do?
same man
I love the style It is a great job. Thank you. And how to make a video in this style?
Hi Wendy, I describe my set up here: engineeringmedia.com/my-setup
@@BrianBDouglas THanks a lot.
May I know the software used for it ? To create those sketches for describing video.
How are the two equations derived?
What do you mean by the term “modal” ?
Thanks for this video. I'm getting my ass kicked and appreciate this video, a LOT.
Congret ! Brain
Thanks!
please i want to know what is the name of that program ,that you are using in writing ,and how can i find it
I describe my set up here: engineeringmedia.com/my-setup
zeroth!
Watch a video of Brian Douglas it's like watch a movie of Will Smith, you know it will be awesome
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.
Brain hurty
Brain?
p for position? 💀
😂
заебись лекция
Hi MATLAB
it's a commercial software you know. we need to use open source alternatives.
can't even get a single word
my prof is trash
TOO FAST !!
I didn't understand shit 😊