Linear Systems: Optimal and Robust Control / Edition 1

by Alok Sinha

Overview

Balancing rigorous theory with practical applications, Linear Systems: Optimal and Robust Control explains the concepts behind linear systems, optimal control, and robust control and illustrates these concepts with concrete examples and problems.

Developed as a two-course book, this self-contained text first discusses linear systems, including controllability, observability, and matrix fraction description. Within this framework, the author develops the ideas of state feedback control and observers. He then examines optimal control, stochastic optimal control, and the lack of robustness of linear quadratic Gaussian (LQG) control. The book subsequently presents robust control techniques and derives H_∞ control theory from the first principle, followed by a discussion of the sliding mode control of a linear system. In addition, it shows how a blend of sliding mode control and H_∞ methods can enhance the robustness of a linear system.

By learning the theories and algorithms as well as exploring the examples in Linear Systems: Optimal and Robust Control, students will be able to better understand and ultimately better manage engineering processes and systems.

Product Details

ISBN-13:	9780849392177
Publisher:	Taylor & Francis
Publication date:	01/31/2007
Edition description:	New Edition
Pages:	488
Product dimensions:	6.12(w) x 9.19(h) x (d)

Table of Contents

Introduction. State Space Description of a Linear System. State Feedback Control and Optimization. Control with Estimated States. Robust Control: Fundamental Concepts and,  and  Techniques. Robust Control: Sliding Mode Methods. Appendix A: Linear Algebraic Equations, Eigenvalues/Eigenvectors and Matrix Inversion Lemma. Appendix B: Quadratic Functions, Important Derivatives, Fourier Integrals and Parseval’s Relation. Appendix C: Norms, Singular Values, Supremum and Infinimum. Appendix D: Stochastic Processes. Appendix E: Optimization of a scalar function with constraints in the form of a symmetric real matrix equal to zero. Appendix F: Flexible Tetrahedral Truss Structure. Appendix G: Space Shuttle Dynamics during Reentry.