Linear Systems

Designed for graduate-level courses, this text explains the concepts behind linear systems, optimal control, and robust control and illustrates these concepts with concrete examples and problems. It includes H- and sliding mode methods together for the first time in book form. The author develops mathematical analyses, including the derivation of H-, and highlights the use of MATLAB® software to solve practical problems via computer. The text contains end-of-chapter exercises so that readers can test their assimilation of the material.
A solutions manual is available with qualifying course adoption.

Alok Sinha

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.