An adaptive strategy for controlling chaotic system

CAO Yi-jia(²ÜÒ»¼Ò)(College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China)
ZHANG Hong-xian(ÕźìÏÈ)(Department of Electrical Engineering, Huazhong University of Science and Technology, Wuhan 430074, China)

Abstract:This paper presents an adaptive strategy for controlling chaotic systems. By employing the phase space reconstruction technique in nonlinear dynamical systems theory, the proposed strategy transforms the nonlinear system into canonical form, and employs a nonlinear observer to estimate the uncertainties and disturbances of the nonlinear system, and then establishes a state-error-like feedback law. The developed control scheme allows chaos control in spite of modeling errors and parametric variations. The effectiveness of the proposed approach has been demonstrated through its applications to two well-known chaotic systems: Duffing oscillator and Rossler chaos.
Keywords:Chaos control, Nonlinear control, Adaptive control

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Manuscript Received:2002 June 6

Manuscript Revised:2002 Dec. 8

Published:2003 June 1