Linear Systems Optimal and Robust Control [Hardcover]

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.Introduction
Overview
Contents of the Book
State Space Description of a Linear System
Transfer Function of a Single Input/Single Output (SISO) System
State Space Realizations of a SISO System
SISO Transfer Function from a State Space Realization
Solution of State Space Equations
Observability and Controllability of a SISO System
Some Important Similarity Transformations
Simultaneous Controllability and Observability
Multiinput/Multioutput (MIMO) Systems
State Space Realizations of a Transfer Function Matrix
Controllability and Observability of a MIMO System
Matrl3*