ON FEEDBACK CONTROL OF DELAYED CHAOTIC SYSTEM

doi:10.1088/1009-1963/10/9/305

中国物理B ›› 2001, Vol. 10 ›› Issue (9): 796-804.doi: 10.1088/1009-1963/10/9/305

ON FEEDBACK CONTROL OF DELAYED CHAOTIC SYSTEM

李丽香, 彭海朋, 卢辉斌, 关新平

Circuit and System Postgraduate, Yanshan University, Qinhuangdao 066004, China

收稿日期:2000-11-11 修回日期:2001-03-22 出版日期:2005-06-12 发布日期:2005-06-12
基金资助:
Project supported by the Natural Science Foundation of Hebei Province, China (Grant No. 601226).

ON FEEDBACK CONTROL OF DELAYED CHAOTIC SYSTEM

Li Li-xiang (李丽香), Peng Hai-peng (彭海朋), Lu Hui-bin (卢辉斌), Guan Xin-ping (关新平)

Circuit and System Postgraduate, Yanshan University, Qinhuangdao 066004, China

Received:2000-11-11 Revised:2001-03-22 Online:2005-06-12 Published:2005-06-12
Supported by:
Project supported by the Natural Science Foundation of Hebei Province, China (Grant No. 601226).

摘要/Abstract

摘要： In this paper two different types of feedback control technique are discussed: the standard feedback control and the time-delay feedback control which have been successfully used in many control systems. In order to understand to what extent the two different types of control technique are useful in delayed chaotic systems, some analytic stabilization conditions for chaos control from the two types of control technique are derived ased on Lyapunov stabilization arguments. Similarly, we discuss the tracking problem by applying the time-delay feedback control. Finally, numerical examples are provided.

Abstract: In this paper two different types of feedback control technique are discussed: the standard feedback control and the time-delay feedback control which have been successfully used in many control systems. In order to understand to what extent the two different types of control technique are useful in delayed chaotic systems, some analytic stabilization conditions for chaos control from the two types of control technique are derived ased on Lyapunov stabilization arguments. Similarly, we discuss the tracking problem by applying the time-delay feedback control. Finally, numerical examples are provided.

Key words: chaos control, stabilization, Lyapunov equation, feedback control

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Pq (Numerical simulations of chaotic systems) 02.30.Yy (Control theory)

李丽香, 彭海朋, 卢辉斌, 关新平. ON FEEDBACK CONTROL OF DELAYED CHAOTIC SYSTEM[J]. 中国物理B, 2001, 10(9): 796-804.

Li Li-xiang (李丽香), Peng Hai-peng (彭海朋), Lu Hui-bin (卢辉斌), Guan Xin-ping (关新平). ON FEEDBACK CONTROL OF DELAYED CHAOTIC SYSTEM[J]. Chinese Physics, 2001, 10(9): 796-804.

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ON FEEDBACK CONTROL OF DELAYED CHAOTIC SYSTEM

ON FEEDBACK CONTROL OF DELAYED CHAOTIC SYSTEM

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