Data-Driven Control: Change of Variables in Control Systems

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In this lecture, we discuss how linear control systems transform under a change of coordinates in the state variable. This will be useful to derive balancing transformations that identify the most jointly controllable and observable states.

This video was produced at the University of Washington
  1. Steve Brunton
  2. Control theory
  3. Machine learning
  4. Data science
  5. Dynamical systems
  6. Machine learning control
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Комментарии
Автор

Hi Steve, start from 11:45, I am still confused about why we can pop out the inv(T). You said we assume T is some eigenvectors or orthogonal... But how this assumption help us eliminate the exponential?

shengjianchen
Автор

Hi! Very nice video, but I think there is a small mistake towards the end.
hat(A)*= T* A* T-* (then T* and T-* cancel out correctly in the integral) :)

adrianom
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