Robust Control - Theory and Applications

This is a book on the robust control theory and its applications for graduate students and control engineers. Robust control methods are categorized according to the type of model uncertainty and all major methods are treated in depth, including their features, possible application areas and limitations. All major topics of robust control are covered, including small-gain approach, Lyapunov approach, IQC (integral quadratic constraint) method, positive real method, regional pole-placement and gain-scheduling control. All these materials are treated in a unified manner based on an optimization approach which makes the book compact and easy to master. Included are 120 examples, 203 figures, 159 drill problems and 9 case studies. The book provides a good platform for studying and applying robust control methods.This book is divided into three parts. The first part covers the mathematical tools and linear systems, including linear algebra, convex analysis, fundamentals of linear systems, system performance, stabilization, controller parameterization, relation between time domain and frequency domain characteristics, Riccati equation and performance limitation. The second part deals with the robust analysis issues, including model uncertainty, robustness analyses based on small-gain theory, Lyapunov theory and IQC theory. The third part covers the robust design issues, including H2 control, H221e control, Mu synthesis, robust control of parametric systems, regional pole placement, gain-scheduling method and positive real method. There is an accompanying website including a solution manual and other supporting material to fully enhance learning.