great lecutres, helped a lot! But I´ve got an issue. When I compute balreal, the new system comes with a unexpected D matrix. Is it ok to have this matrix? How should I read this new matrix that appeared in my system? thank you
Interesting. The D matrix will get added to the output equation as y = C*x + D*u. It is sometimes called a "feedthrough" term, since it feeds directly from the input to the output. You might check and see if the value of the D matrix is small or if it is large.
Thanks sir, First of all I want to thank you for all of your lecture series they are really amazing! I have a question how can ı plotter Gramian ellipsoid of 4x4 system, like İnverted Pendulum on Cart or 3x3 system
Thanks again professor Brunton ! Question: It looks like the Controllability and Observability ellipses' axes are lining up with the Eigen vectors of Wc and Wo respectively. is this due to a special property of Wc and Wo, or would it work for any matrix M, if I plotted M*CIRC? (I tried the same code with some random 2x2 matrices, but the axes of M*CIRC ellipse and the Eigen vectors of M didn't line up. )
![[SFM] Risky Recital](http://i.ytimg.com/vi/RzNkY1_Nk3o/mqdefault.jpg)
great lectures and explanation!! thanks, prof. Brunton!
You are welcome!
Thanks Steve!
Wed-April 6, 2022-10:45 pm
thanks sir, very interesting lecture on model reduction
Most welcome
great lecutres, helped a lot! But I´ve got an issue. When I compute balreal, the new system comes with a unexpected D matrix. Is it ok to have this matrix? How should I read this new matrix that appeared in my system? thank you
Interesting. The D matrix will get added to the output equation as y = C*x + D*u. It is sometimes called a "feedthrough" term, since it feeds directly from the input to the output. You might check and see if the value of the D matrix is small or if it is large.
the python code is also available here
HamidrezaToliati --> data-driven-ontrol repository
Thanks sir, First of all I want to thank you for all of your lecture series they are really amazing!
I have a question
how can ı plotter Gramian ellipsoid of 4x4 system, like İnverted Pendulum on Cart or 3x3 system
did you ever figure this out?
Thanks for the videos, you should have covered "modred" and its options in this video. Also, there is no truncation in the video.
Thanks again professor Brunton ! Question: It looks like the Controllability and Observability ellipses' axes are lining up with the Eigen vectors of Wc and Wo respectively. is this due to a special property of Wc and Wo, or would it work for any matrix M, if I plotted M*CIRC? (I tried the same code with some random 2x2 matrices, but the axes of M*CIRC ellipse and the Eigen vectors of M didn't line up. )
sir where i found a code you explained in above example?
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