Controlling Chaos: Suppression, Synchronization and Chaotification

✍ Scribed by Huaguang Zhang, Derong Liu, Zhiliang Wang (auth.)

• Publisher: Springer-Verlag London
• Year: 2009
• Tongue: English
• Leaves: 357
• Series: Communications and Control Engineering
• Edition: 1
• Category: Library

✦ Synopsis

Controlling Chaos offers its reader an extensive selection of techniques to achieve three goals: the suppression, synchronization 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. Modeling 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, with the Takagi–Sugeno model and the authors’ own fuzzy hyperbolic model utilized in the modeling and control of chaotic systems. Time-delayed systems are also studied with many synchronization methods being explored. All 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.

Controlling Chaos will be of interest to academics from electrical, systems, mechanical and chemical engineering backgrounds working in control theory related to nonlinear dynamical and chaotic systems and to graduate students of chaos control.

The Communications and Control Engineering series reports major technological advances which have potential for great impact in the fields of communication and control. It reflects research in industrial and academic institutions around the world so that the readership can exploit new possibilities as they become available.

✦ Table of Contents

Front Matter....Pages i-xix
Overview....Pages 1-15
Preliminaries of Nonlinear Dynamics and Chaos....Pages 17-76
Entrainment and Migration Control of Chaotic Systems....Pages 77-102
Feedback Control of Chaotic Systems....Pages 103-131
Synchronizing Chaotic Systems Based on Feedback Control....Pages 133-168
Synchronizing Chaotic Systems via Impulsive Control....Pages 169-207
Synchronization of Chaotic Systems with Time Delay....Pages 209-267
Synchronizing Chaotic Systems Based on Fuzzy Models....Pages 269-307
Chaotification of Nonchaotic Systems....Pages 309-341
Back Matter....Pages 343-344

✦ Subjects

Control; Systems Theory, Control; Complexity; Vibration, Dynamical Systems, Control; Dynamical Systems and Ergodic Theory; Control , Robotics, Mechatronics