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In this video, we introduce an example system to control: an inverted pendulum on a cart. We describe the state-space, find the fixed points, and simulate the system in Matlab. Because the linearized system is controllable, we will be able to arbitrarily place the eigenvalues of the closed-loop system through feedback in the next two videos.
These lectures follow Chapter 8 from:
"Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" by Brunton and Kutz
Amazon: www.amazon.com...
Chapters available at: databookuw.com/...
Book Website: databookuw.com
Brunton Website: eigensteve.com
This video was produced at the University of Washington