Excellent ! State-space and subsequently state variables are fascinating with ramifications towards linear and nonlinear system identification, and 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.
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.
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.
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).
+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?
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
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
That is the best explanation of all time very easy and precise
Those courses are a jewelry. Thank you Prof. Hill to put your work on youtube.
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.
Very Clear audio and well explained topic. Thanks a lot.
Thanks so much for the wonderful simple to understand well explained concepts. Long live Mr Rick
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
Took dynamical systems a few years back just now am getting into control theory, thank you for the brief review.
Brief and clear explaination. Thanks, needed that.
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 u so much for this clear explanation! Your rythms for explaination is just at the POINT! Love this video
Simply amazing explanation!! Everything clear and understandable. Thank you for such great video!!
Solid and compact explanation.
Really helped in understanding the concept
Very grateful for this right now! Thank you!
Thank you for this lucid explanantion on this topic. Finally understood this topic and tbh it is actually very intuitive !
This video was very well made. Thank you for posting this.
Thank you for explaining that so well. My professor is killing me with his lectures.
Thank God you exist!!
Best state space example on RUclips
Thank you best instruction I've ever found on this.
really enjoyed this video. voice has a Great tempo for an explanation..
You're doing god's work. Very easy to understand compared to my prof with english as (probably) a third language.
The best explanation ever !!!
Clear explanation. Nice work, thank you!
Nice explanation. Thanks for sharing.
I finally understand thank you
Thank you so much for making this video, really helped me!!!
wonderful explanation, thanks !
Thanks. Solid explanation.
Thank you very clearly explained
Thank you for making this video sir!
thank you sir, your explanation is very clear and understandable
Good job my bos Flow sin olich lonsi frome jordan and fainle i wala'a saport you fOr the exam ba vay
Brilliant. Thank you very much!
Quick and concise. Thanks!
Excellent 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
many many thanks...........night before exam
me too again in this fucking night
thx for explanation
Thank you sir, you are the best.
This is so well explained 🤩
thx the explanation is quite explicit!
Right on Michigan!! I finally understand ...
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 :)
Thank you Rick!
very very useful thank you so much.
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.
How did you change the variables . Explain more
Thanks, that was a very clear explanation :)
Excellent Sir
So helpful. Thanks!
Awesome, thanks
Very nice
thank for your explation
thanks it was great!
i hope you live forever
Jeremy Crichton which electrical machine are you talking about??
Wow! Wonderful!
nice and clear , thanks!!
Thank you a lot.
Thank you thank you thank you!
very useful! thx!!!
Thank you!
Thank you
useful ,,thanks
Man, than you!
Thanks :)
LEGEND
Oooof thanks mate
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?
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?
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
Im 13yrs. You could say im lost.
fuck i hate engineering :/
Most confusing explanation
Thank you