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Journal of Zhejiang University SCIENCE A 2003 Vol.4 No.3 P.258-263


An adaptive strategy for controlling chaotic system

Author(s):  CAO Yi-jia, ZHANG Hong-xian

Affiliation(s):  College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   yijiacao@cee.zju.edu.cn

Key Words:  Chaos control, Nonlinear control, Adaptive control

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CAO Yi-jia, ZHANG Hong-xian. An adaptive strategy for controlling chaotic system[J]. Journal of Zhejiang University Science A, 2003, 4(3): 258-263.

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A1 - CAO Yi-jia
A1 - ZHANG Hong-xian
J0 - Journal of Zhejiang University Science A
VL - 4
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SP - 258
EP - 263
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2003.0258

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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