Linear control theory: structure, robustness, and optimization

Successfully classroom-tested at the graduate level, "Linear Control Theory: Structure, Robustness, and Optimization" covers three major areas of control engineering (PID control, robust control, and optimal control). It provides balanced coverage of elegant mathematical theory and useful engineering-oriented results. The first part of the book develops results relating to the design ofPID and first-order controllers for continuous and discrete-time linear systems with possible delays. The second section deals with the robust stability and performance of systems under parametric and unstructured uncertainty.This section describes several elegant and sharp results, such as Kharitonov's theorem and its extensions, the edge theorem, and the mapping theorem. Focusing on the optimal control of linear systems, the third part discusses the standard theories of the linear quadratic regulator, Hinfinity and l1 optimal control, and associated results. Written by recognized leaders in the field, this book explains how control theory can be applied to the design of real-world systems. It shows that the techniques of three term controllers, along with the resultson robust and optimal control, are invaluable to developing and solving research problems in many areas of engineering. INDICE: Preface. LINEAR SYSTEMS THEORY. Mathematical Models of Dynamic Systems. Structure of LTI Systems. State Feedback and Observers. Linear QuadraticOptimal Control. Linear Servomechanism Problem. THREE TERM CONTROLLERS. ThreeTerm Controller Design. PID Controllers for LTI Systems. PID Controllers for Systems with Time-Delay. First Order Controllers for LTI Systems. Digital PID Controller Design. ROBUST CONTROL: PARAMETRIC THEORY. Stability Theory for Polynomials. Stability of a Line Segment. Stability Margin Computation. Stabilityof a Polytope. Robust Control Design. H and 1 OPTIMAL CONTROL. Signal Spaces.Norms of Linear Systems. Robustness and Optimality Via Norms. 1 Optimal Control. The MIMO H Theory. The DGKF Solution.

• ISBN: 978-0-8493-4063-5
• Editorial: CRC Press
• Encuadernacion: Cartoné
• Páginas: 911
• Fecha Publicación: 01/02/2009
• Nº Volúmenes: 1
• Idioma: Inglés