Electrical Engineering |
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An adaptive strategy for controlling chaotic system |
CAO Yi-jia, ZHANG Hong-xian |
College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China; Department of Electrical Engineering, Huazhong University of Science and Technology, Wuhan 430074, China |
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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.
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Received: 06 June 2002
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