Overview
- Unifies chaos theory with fuzzy systems theory for more effective control of chaotic systems
- Presents the latest results on chaotification of linear systems
- Presents novel advanced control methods for applications to chaotic and nonlinear systems
- Includes supplementary material: sn.pub/extras
Part of the book series: Communications and Control Engineering (CCE)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Controlling Chaos achieves three goals: the suppression, synchronisation and generation of chaos, each of which is the focus of a separate part of the book. The text deals with the well-known Lorenz, Rössler and Hénon attractors and the Chua circuit and with less celebrated novel systems. Modelling of chaos is accomplished using difference equations and ordinary and time-delayed differential equations. The methods directed at controlling chaos benefit from the influence of advanced nonlinear control theory: inverse optimal control is used for stabilization; exact linearization for synchronization; and impulsive control for chaotification. Notably, a fusion of chaos and fuzzy systems theories is employed. Time-delayed systems are also studied. The results presented are general for a broad class of chaotic systems.
This monograph is self-contained with introductory material providing a review of the history of chaos control and the necessary mathematical preliminaries for working with dynamical systems.
Reviews
From the reviews:
“In this book the authors present state-of-the-art techniques for active control and synchronization of chaotic systems. … the book is written in a clear and concise fashion and each chapter contains a list of up-to-date references. … The book should be valuable to graduate students and faculty in engineering, or to applied mathematicians and physicists interested in the field of nonlinear dynamics and control theory. … It is recommended for individuals as well as libraries.” (Subhash C. Sinha, International Journal of Acoustics and Vibration, Vol. 16 (1), 2011)Authors and Affiliations
Bibliographic Information
Book Title: Controlling Chaos
Book Subtitle: Suppression, Synchronization and Chaotification
Authors: Huaguang Zhang, Derong Liu, Zhiliang Wang
Series Title: Communications and Control Engineering
DOI: https://doi.org/10.1007/978-1-84882-523-9
Publisher: Springer London
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag London 2009
Hardcover ISBN: 978-1-84882-522-2Published: 27 July 2009
Softcover ISBN: 978-1-4471-2282-1Published: 21 December 2011
eBook ISBN: 978-1-84882-523-9Published: 18 June 2009
Series ISSN: 0178-5354
Series E-ISSN: 2197-7119
Edition Number: 1
Number of Pages: XX, 344
Number of Illustrations: 178 b/w illustrations
Topics: Control and Systems Theory, Artificial Intelligence, Dynamical Systems and Ergodic Theory, Systems Theory, Control, Complex Systems, Vibration, Dynamical Systems, Control