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CLC number: TP273+.2
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
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An adaptive strategy for controlling chaotic system
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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.
@article{title="An adaptive strategy for controlling chaotic system",
author="CAO Yi-jia, ZHANG Hong-xian",
journal="Journal of Zhejiang University Science A",
volume="4",
number="3",
pages="258-263",
year="2003",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2003.0258"
}
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%DOI 10.1631/jzus.2003.0258
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T1 - An adaptive strategy for controlling chaotic system
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
%@ 1869-1951
Y1 - 2003
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2003.0258
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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