Robust Control: Supplementary Topics

This 'Robust Control' course consists of 25 lectures aimed at graduate students in Electrical and Mechanical Engineering. It focuses on how modern robust control theory addresses real-world problems. Robustness is defined by three requirements: the plant model may be inexact or uncertain, the system must handle external perturbations, and the controller should be simple for easy implementation. The course is divided into five parts: Mathematical Background and Linear Matrix Inequalities in Control Theory, Absolute Stability and H1-Control, Attractive Ellipsoid Method (AEM), Sliding Mode Control (SMC), and Engineering Examples. Topics include conditions for LMI solutions, Schur's lemma extension, dynamic feedback controller design using AEM, robust control for time-delay systems, Sampled-Data and Quantized Output systems, SMC methods, and Absolute Stability analysis. This course complements existing resources and provides practical tools for feedback design.