There are many books on advanced control for specialists, but not many present these topics for non-specialists. Assuming only a basic knowledge of automatic control and signals and systems, this second edition of Optimal and Robust Control offers a straightforward, self-contained handbook of advanced topics and tools in automatic control.
The book deals with advanced automatic control techniques, paying particular attention to robustness-the ability to guarantee stability in the presence of uncertainty. It explains advanced techniques for handling uncertainty and optimizing the control loop. It also details analytical strategies for obtaining reduced order models. The authors then propose using the Linear Matrix Inequality (LMI) technique as a unifying tool to solve many types of advanced control problems. Topics covered in the book include,
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LQR and H∞ approaches
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Kalman and singular value decomposition
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Open-loop balancing and reduced order models
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Closed-loop balancing
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Positive-real systems, bounded-real systems, and imaginary-negative systems
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Criteria for stability control
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Time-delay systems
This easy-to-read text presents the essential theoretical background and provides numerous examples and MATLAB® exercises to help the reader efficiently acquire new skills. Written for electrical, electronic, computer science, space, and automation engineers interested in automatic control, this book can also be used for self-study of for a one-semester course in robust control.
This fully renewed second edition of the book also includes new fundamental topics such as Lyapunov functions for stability, variational calculus, formulation in terms of optimization problems of matrix algebraic equations, negative-imaginary systems, and time-delay systems.
Preface
Chapter 1 : Modelling of Uncertain Systems and the Robust Control Problem
Chapter 2 : Fundamentals of Stability
Chapter 3 : Kalman Canonical Decomposition
Chapter 4 : Singular Value Decomposition
Chapter 5 : Open-loop Balanced Realization
Chapter 6 : Reduced Order Models and Symmetric Systems
Chapter 7 : Variational Calculus and Linear Quadratic Optimal Control
Chapter 8 : Closed-loop Balanced Realization
Chapter 9 : Positive-real, Bounded-real, and Negative-imaginary Systems
Chapter 10 : Enforcing the Positive-real or the Negative-imaginary Property in a Linear Model
Chapter 11 : H∞ Linear Control
Chapter 12 : Linear Matrix Inequalities for Optimal and Robust Control
Chapter 13 : The Class of Stabilizing Controllers
Chapter 14 : Formulation and Solution of Matrix Algebraic Problems Through Optimization Problems
Chapter 15 : Time-delay Systems
Appendix A : Norms
Appendix B : Algebraic Riccati Equations
Appendix C : Invariance under Frequency Transformations
Index
