Introduction to Linear Quadratic Regulator (LQR) Control

In this video we introduce the linear quadratic regulator (LQR) controller. We show that an LQR controller is a full state feedback controller where the gain matrix K is computed by solving an optimization problem. Topics and time stamps include:

(4:01) - Introduction to Optimization
(19:24) - Setting up the cost function (Q and R matrices)
(41:36) - Solving the Algebraic Ricatti Equation
(1:01:05) - Example of LQR in Matlab
(1:17:09) - Using LQR to address practical implementation issues with full state feedback controllers

In addition, some videos that may be helpful or relevant to the discussion at hand include:
-Introduction to Full State Feedback Control (https://youtu.be/1zIIcYfp5QA)
-Practical Implementation Issues with a Full State Feedback Controller (https://youtu.be/9vCTokJ5RQ8)
-Introduction to Linear State Estimation (TBD)

The Matlab/Simulink files associated with this video are located at:
-http://faculty.washington.edu/lum/EducationalVideoFiles/Controls05/LQRIntro.nb
-http://faculty.washington.edu/lum/EducationalVideoFiles/Controls05/IntroToLQR.m
-http://faculty.washington.edu/lum/EducationalVideoFiles/Controls05/IntroToLQR_model.slx

Видео Introduction to Linear Quadratic Regulator (LQR) Control канала Christopher Lum