Introduces the idea of modeling a dynamic system in state-space form. A simple example that puts a general differential equation into state-space form is carried out.
Excellent ! State-space and subsequently state variables are fascinating with ramifications towards linear and nonlinear system identification, and digital signal processing.
EXCELLENT and VERY CLEAR !!!! ... I am currently working on research utilizing state variables in modeling nonlinear systems for system identification and adaptive digital signal processing.
Wonderful! Thanks for providing such a clear description of key concepts in control theory, accessible to a broad audience with a minimum of undefined jargon.
Very clear and informative, thanks! What kind of monster writes a 5 backwards though?? (11:10) genuinely horrified... Great video though, control will be a breeze thanks to you :)
Very Nice. I have struggled with state space A and B matrix now for a while. Single input single output. I also have been struggling with multivariable as well. I am not sure how poles and zeros work into this understanding as well.
With a MIMO state space system, the relationship with the corresponding transfer function representation is a little more challenging. Specifically, a MIMO system can be represented by a single state space model, but requires multiple transfer function models, 1 for each input-output pair. For example, a system with 2 inputs and 3 output will require 6 transfer functions. Each of the transfer functions will have the same poles, which are equal to the eigenvalues of the A matrix. However, each transfer function may have different zeros. There are some conventions for speaking about the "zeros" of the state space model, things like transmission zeros, but this tends to be a more advanced topic.
+BANIYASAD In general, yes. The choice of output is a decision of the designer based on what is being controlled or analyzed. Ideally, you would be able to express your output as a function of the chosen state variables. If you can't, you may need to choose an alternate set of state variables. Recall, the choice of state variables is not unique.
+Rick Hill thank you so much for replying For equations as 2x1('' )+X1( ') +2(X1+ x2)=f(t) x2( ' )+ x2 -2(X1- x2)=0 and outputs X1, x( ' ' ) What state variables to find output equation that match to output values assigned?
If you had a MIMO system (multiple inputs and multiple outputs), the structure of the state-space representation is the same, it just changes the size of your B and C matrices. For example, if you have 3 inputs, then your B matrix would have 3 columns (and your input u would be a column vector).
It is simply an engineering decision (or is given to you). What output do you wish to control/analyze? That question determines what you choose y to be.
@@hillrickc thnx for ur answer Another question:ur example abt integer wht abt fractionel-order ?and why we choose the fractionel-order as a good result
Excellent ! State-space and subsequently state variables are fascinating with ramifications towards linear and nonlinear system identification, and digital signal processing.
The best explanation I have ever seen. Made my life so easy. Thanks a lot Rick
EXCELLENT and VERY CLEAR !!!! ...
I am currently working on research utilizing state variables in modeling nonlinear systems for system identification and adaptive digital signal processing.
Wonderful! Thanks for providing such a clear description of key concepts in control theory, accessible to a broad audience with a minimum of undefined jargon.
The most clear definition of SS I've never seen before! Thanks Rick
Those courses are a jewelry. Thank you Prof. Hill to put your work on youtube.
That is the best explanation of all time very easy and precise
Very Clear audio and well explained topic. Thanks a lot.
Absolutely helpful for me not to fail in the System Dynamics class. Thanks man!
Well spoken. Thanks, really helped me change the momentum of the battle between me and Electrical Machines 1
Thanks so much for the wonderful simple to understand well explained concepts. Long live Mr Rick
Brief and clear explaination. Thanks, needed that.
Very grateful for this right now! Thank you!
Thank u so much for this clear explanation! Your rythms for explaination is just at the POINT! Love this video
Took dynamical systems a few years back just now am getting into control theory, thank you for the brief review.
Simply amazing explanation!! Everything clear and understandable. Thank you for such great video!!
Best state space example on TH-cam
Solid and compact explanation.
Really helped in understanding the concept
This video was very well made. Thank you for posting this.
Thank God you exist!!
You are a life saver dude this video just clarified so much confusion, I feel a lot more prepared for my exam tomorrow in Dynamic systems analysis !
Thank you best instruction I've ever found on this.
The best explanation ever !!!
Thank you for this lucid explanantion on this topic. Finally understood this topic and tbh it is actually very intuitive !
Thanks. Solid explanation.
Thnq so much sir, I was just not getting the logic how to fill those matrix, after watching your video I got it.. Thank ones again
really enjoyed this video. voice has a Great tempo for an explanation..
Clear explanation. Nice work, thank you!
Thank you so much for making this video, really helped me!!!
Thank you for explaining that so well. My professor is killing me with his lectures.
Excellent explanation.
You're doing god's work. Very easy to understand compared to my prof with english as (probably) a third language.
Brilliant. Thank you very much!
wonderful explanation, thanks !
Quick and concise. Thanks!
thank you sir, your explanation is very clear and understandable
Thanks, that was a very clear explanation :)
So helpful. Thanks!
Wow! Wonderful!
Thank you for making this video sir!
nice and clear , thanks!!
Thank you sir, you are the best.
Nice explanation. Thanks for sharing.
very very useful thank you so much.
Thank you a lot.
Thank you very clearly explained
Right on Michigan!! I finally understand ...
thx the explanation is quite explicit!
This is so well explained 🤩
thank for your explation
Thank you Rick!
many many thanks...........night before exam
me too again in this fucking night
I finally understand thank you
Thank you thank you thank you!
Good job my bos Flow sin olich lonsi frome jordan and fainle i wala'a saport you fOr the exam ba vay
Thank you!
very useful! thx!!!
Awesome, thanks
thanks it was great!
Excellent Sir
Thank you
Very clear and informative, thanks! What kind of monster writes a 5 backwards though?? (11:10) genuinely horrified... Great video though, control will be a breeze thanks to you :)
thx for explanation
Jeremy Crichton which electrical machine are you talking about??
Thanks :)
LEGEND
useful ,,thanks
Very Nice. I have struggled with state space A and B matrix now for a while. Single input single output. I also have been struggling with multivariable as well. I am not sure how poles and zeros work into this understanding as well.
With a MIMO state space system, the relationship with the corresponding transfer function representation is a little more challenging. Specifically, a MIMO system can be represented by a single state space model, but requires multiple transfer function models, 1 for each input-output pair. For example, a system with 2 inputs and 3 output will require 6 transfer functions. Each of the transfer functions will have the same poles, which are equal to the eigenvalues of the A matrix. However, each transfer function may have different zeros. There are some conventions for speaking about the "zeros" of the state space model, things like transmission zeros, but this tends to be a more advanced topic.
Very nice
i hope you live forever
Man, than you!
How did you change the variables . Explain more
Oooof thanks mate
Can acceleration be an output ?
+BANIYASAD In general, yes. The choice of output is a decision of the designer based on what is being controlled or analyzed. Ideally, you would be able to express your output as a function of the chosen state variables. If you can't, you may need to choose an alternate set of state variables. Recall, the choice of state variables is not unique.
+Rick Hill thank you so much for replying
For equations as 2x1('' )+X1( ') +2(X1+ x2)=f(t)
x2( ' )+ x2 -2(X1- x2)=0 and outputs X1, x( ' ' )
What state variables to find output equation that match to output values assigned?
Baniyasad CAN YOU HAVE MODULE 1 OF RICK HILL?
what if you have 3 inputs?
If you had a MIMO system (multiple inputs and multiple outputs), the structure of the state-space representation is the same, it just changes the size of your B and C matrices. For example, if you have 3 inputs, then your B matrix would have 3 columns (and your input u would be a column vector).
Dopezzzbob can you have the module1 of rick hill?
Im 13yrs. You could say im lost.
Hi
Why u choose y=x2 not y=x1
It is simply an engineering decision (or is given to you). What output do you wish to control/analyze? That question determines what you choose y to be.
@@hillrickc thnx for ur answer
Another question:ur example abt integer wht abt fractionel-order ?and why we choose the fractionel-order as a good result
fuck i hate engineering :/
Most confusing explanation
Thank you