Journal of Zhejiang University SCIENCE A
(Monthly)

2006   Vol. 7   Suppl. II   p. 223-227

Passive control of a class of chaotic dynamical systems with nonlinear observer

Qi Dong-Lian^†1, Song Yun-Zhong^1,2

(¹School of Electrical Engineering, Zhejiang University, Hangzhou 310027, China)
(²Department of Electrical Engineering, Henan Polytechnic University, Jiaozuo 454000, China)
^†E-mail: qidl@zju.edu.cn
Received Jan. 15, 2006 revision accepted Mar. 23, 2006

Abstract: A passive control strategy with nonlinear observer is proposed, which can be used to control a class of chaotic dynamical systems to stabilize at different equilibrium points. If the nonlinear function of chaotic system satisfies Lipschitz condition, the nonlinear observer can observe the state variables of the chaotic systems. An important property of passive system is studied to control chaotic systems, that is passive system can be asymptotically stabilized by state feedback controller whose state variables are presented by nonlinear observer. Simulation results indicated that the proposed chaos control method is very effective in a class of chaotic systems.

Key words: Chaotic dynamical system, Passive theory, Nonlinear observer
doi:10.1631/jzus.2006.AS0223             CLC number: TP273

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