Hybrid Dynamical Systems: Controller and Sensor Switching Problems (Control Engineering) - Hardcover

Savkin, Andrey V.; Evans, Robin J.

Hardcover

ISBN 10: 0817642242 ISBN 13: 9780817642242

Publisher: Birkhäuser, 2002

Synopsis

This book is primarily a research monograph that presents in a unified man­ ner some recent research on a class of hybrid dynamical systems (HDS). The book is intended both for researchers and advanced postgraduate stu­ dents working in the areas of control engineering, theoretical computer science, or applied mathematics and with an interest in the emerging field of hybrid dynamical systems. The book assumes competence in the basic mathematical techniques of modern control theory. The material presented in this book derives from a period of fruitful research collaboration between the authors that began in 1994 and is still ongoing. Some of the material contained herein has appeared as isolated results in journal papers and conference proceedings. This work presents this material in an integrated and coherent manner and also presents many new results. Much of the material arose from joint work with students and colleagues, and the authors wish to acknowledge the major contributions made by Ian Petersen, Efstratios Skafidas, Valery Ugrinovskii, David Cook, Iven Mareels, and Bill Moran. There is currently no precise definition of a hybrid dynamical system; however, in broad terms it is a dynamical system that involves a mixture of discrete-valued and continuous-valued variables. Since the early 1990s, a bewildering array of results have appeared under the umbrella of HDS, ranging from the analysis of elementary on-off control systems to sophis­ ticated mathematical logic-based descriptions of large real-time software systems.

About this title

Review

"The book is a self-contained text assuming only a basic mathematical knowledge of modern control theory. It is an excellent up-to-date authoritative reference covering original results with complete mathematical proofs and illustrative examples. The monograph is intended both for researchers and advanced postgraduate students working in the areas of control engineering, theoretical computer science, and applied mathematics interested in the emerging field of hybrid dynamic systems." ―Zentralblatt Math

Synopsis

The area of hybrid dynamical systems (HDS) represents a difficult challenge to control engineers and is referred to as "the control theory of tomorrow" due to its future potential for solving problems. This relatively new discipline bridges control engineering, mathematics and computer science. There is now an emerging literature on this topic descibing a number of mathematical models, heuristic algorithms and stability criteria. This text focuses on a comprehensive development of HDS theory and integrates results established by the authors. The work is a self-contained text/reference covering several theoretically interesting and practically significant problems concerning the use of switched controllers. Also under examination is the sensor scheduling problems. The emphasis is on classes of uncertain systems as models for HDS.

The volume: focuses on the design of robust hybrid dynamical systems in a logical manner; provides extensive coverage of dynamic programming concepts; applies hybrid control systems framework to two classical robust control problems (design of an optimal stable controller for a linear system and simultaneous stabilization of a collection of plants); presents a detailed treatment of stability and H-infinity problems; covers recent original results with complete mathematically rigorous proofs. Researchers and postgraduate students in control engineering, applied mathematics and theoretical computer science should find this book covers the latest results in this area of research; and advanced engineering practitioners and applied researchers working in areas of control engineering, signal processing, communications and fault detection should also find it an up-to-date resource.

Edition details

• Publisher: Birkhäuser
• Publication date: 2002
• ISBN 10: 0817642242
• ISBN 13: 9780817642242
• Binding: Hardcover
• Language: English
• Number of pages: 163