Robust Systems Theory and Applications

A complete, up-to-date textbook on an increasingly importantsubject Robust Systems Theory and Applications covers both the techniquesused in linear robust control analysis/synthesis and in robust(control-oriented) identification. The main analysis and designmethods are complemented by elaborated examples and a group ofworked-out applications that stress specific practical issues:nonlinearities, robustness against changes in operating conditions,uncertain infinite dimensional plants, and actuator and sensorlimitations. Designed expressly as a textbook for master's andfirst-year PhD students, this volume: * Introduces basic robustness concepts in the context of SISOsystems described by Laplace transforms, establishing connectionswith well-known classical control techniques * Presents the internal stabilization problem from two differentpoints of view: algebraic and state --space * Introduces the four basic problems in robust control and the Loopshaping design method Presents the optimal *2 control problem froma different viewpoint, including an analysis of the robustnessproperties of *2 controllers and a treatment of the generalized *2problem * Presents the *2 control problem using both the state-spaceapproach developed in the late 1980s and a Linear Matrix Inequalityapproach (developed in the mid 1990s) that encompasses more generalproblems * Discusses more general types of uncertainties (parametric andmixed type) and ??-synthesis as a design tool * Presents an overview of optimal ,1 control theory and covers thefundamentals of its star-norm approximation * Presents the basic tools of model order reduction * Provides a tutorial on robust identification * Offers numerous end-of-chapter problems and worked-out examplesof robust control

SISO Systems. Stabilization. Loop Shaping. H2 Optimal Control. H infinity Control. Structured Uncertainty. L?1 Control. Model Order Reduction. Robust Identification. Application Examples. Appendices.