Communications and Control Engineering: Suppression, Synchronization and Chaotification

Zhang, Huaguang; Liu, Derong; Wang, Zhiliang

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.

Details

Published by: Springer

Publication Date: 2009-07-27

Format: Hardcover

ISBN-13: 9781848825222

DOI: 10.1007/978-1-84882-523-9

Dimensions: 235cm x155cm

Pages: 344