State Space, Part 4: What is LQR control?

The Linear Quadratic Regulator (LQR) LQR is a type of optimal control that is based on state space representation. In this video, we introduce this topic at a very high level so that you walk away with a general understanding of the control problem and can build on this understanding when you are studying the math behind it. This video will cover what it means to be optimal and how to think about the LQR problem. At the end I’ll show you some examples in MATLAB that I think will help you gain a little intuition about LQR. Check out these other resources! Download the code for the UFO animation: http://bit.ly/2tbHFVJ Integral action: http://bit.ly/2t4hwIr LQR by Christopher Lum: https://youtu.be/wEevt2a4SKI LQR by Steven Brunton: https://youtu.be/1_UobILf3cc Solving LQR problem: http://bit.ly/2t5gc8k Learn more about State Space Models: http://bit.ly/2HrtZQy

Part 1: Introduction to State-Space Equations

Part 2: Pole Placement

Part 3: A Conceptual Approach to Controllability and Observability