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.
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