Please wait a minute...
Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering)  2003, Vol. 4 Issue (3): 258-263    DOI: 10.1631/jzus.2003.0258
Electrical Engineering     
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
Download:     PDF (0 KB)     
Export: BibTeX | EndNote (RIS)      

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.

Key wordsChaos control      Nonlinear control      Adaptive control     
Received: 06 June 2002     
CLC:  TP273+.2  
Cite this article:

CAO Yi-jia, ZHANG Hong-xian. An adaptive strategy for controlling chaotic system. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2003, 4(3): 258-263.

URL:

http://www.zjujournals.com/xueshu/zjus-a/10.1631/jzus.2003.0258     OR     http://www.zjujournals.com/xueshu/zjus-a/Y2003/V4/I3/258

[1] Mei-qin LIU, Sen-lin ZHANG, Gang-feng YAN. A new neural network model for the feedback stabilization of nonlinear systems[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2008, 9(8): 1015-1023.
[2] Chang-fei TONG, Hui ZHANG, You-xian SUN. Control synthesis for polynomial nonlinear systems and application in attitude control[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2008, 9(6): 833-839.
[3] SREEKUMAR M., SINGAPERUMAL M., NAGARAJAN T., ZOPPI M., MOLFINO R.. Recent advances in nonlinear control technologies for shape memory alloy actuators[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(5): 818-829.
[4] WANG Wei, JIN Ruo-jun, JIANG Jing-ping. Optimal state feedback control of brushless direct-current motor drive systems based on Lyapunov stability criterion[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2007, 8(12): 1889-1893.
[5] Shen Cheng, Shi Zhi-Guo, Ran Li-Xin. Adaptive synchronization of chaotic Colpitts circuits against parameter mismatches and channel distortions[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(Supplement 2): 228-236.
[6] Ke Hai-sen, Ye Xu-dong. Robust adaptive controller design for a class of nonlinear systems with unknown high frequency gains[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(3 ): 6-.
[7] ZHANG Ri-dong, WANG Shu-qing. Predictive control of a class of bilinear systems based on global off-line models[J]. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 2006, 7(12): 5-.