Inverted Pendulum on a Cart [Control Bootcamp]

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: https://www.amazon.com/Data-Driven-Science-Engineering-Learning-Dynamical/dp/1108422098 Chapters available at: http://databookuw.com/databook.pdf Book Website: http://databookuw.com Brunton Website: eigensteve.com This video was produced at the University of Washington