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 ! 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.
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
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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 ! State-space and subsequently state variables are fascinating with ramifications towards linear and nonlinear system identification, and digital signal processing.
Thanks so much for the wonderful simple to understand well explained concepts. Long live Mr Rick
Very Clear audio and well explained topic. Thanks a lot.
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.
Absolutely helpful for me not to fail in the System Dynamics class. Thanks man!
Brief and clear explaination. Thanks, needed that.
Took dynamical systems a few years back just now am getting into control theory, thank you for the brief review.
Well spoken. Thanks, really helped me change the momentum of the battle between me and Electrical Machines 1
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 u so much for this clear explanation! Your rythms for explaination is just at the POINT! Love this video
Best state space example on RUclips
Very grateful for this right now! Thank you!
Simply amazing explanation!! Everything clear and understandable. Thank you for such great video!!
Thank you for this lucid explanantion on this topic. Finally understood this topic and tbh it is actually very intuitive !
Solid and compact explanation.
Really helped in understanding the concept
This video was very well made. Thank you for posting this.
Thank you best instruction I've ever found on this.
Thank you for explaining that so well. My professor is killing me with his lectures.
The best explanation ever !!!
I finally understand thank you
You're doing god's work. Very easy to understand compared to my prof with english as (probably) a third language.
thx for explanation
Thank you so much for making this video, really helped me!!!
really enjoyed this video. voice has a Great tempo for an explanation..
Thanks. Solid explanation.
Thank you very clearly explained
Clear explanation. Nice work, thank you!
Quick and concise. Thanks!
wonderful explanation, thanks !
Brilliant. Thank you very much!
Thank you for making this video sir!
Nice explanation. Thanks for sharing.
Thank you sir, you are the best.
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
Excellent explanation.
thank you sir, your explanation is very clear and understandable
This is so well explained 🤩
thx the explanation is quite explicit!
Right on Michigan!! I finally understand ...
Thank you Rick!
Good job my bos Flow sin olich lonsi frome jordan and fainle i wala'a saport you fOr the exam ba vay
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 very useful thank you so much.
thanks it was great!
Excellent Sir
Awesome, thanks
thank for your explation
many many thanks...........night before exam
me too again in this fucking night
So helpful. Thanks!
Thanks, that was a very clear explanation :)
i hope you live forever
Thank you a lot.
nice and clear , thanks!!
How did you change the variables . Explain more
Very nice
Thank you thank you thank 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.
Wow! Wonderful!
Thank you
Man, than you!
Thank you!
very useful! thx!!!
Jeremy Crichton which electrical machine are you talking about??
Thanks :)
useful ,,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