中国物理B ›› 2001, Vol. 10 ›› Issue (8): 708-710.doi: 10.1088/1009-1963/10/8/307

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A NEW SLIDING MODE CONTROL FOR A CLASS OF UNCERTAIN TIME-DELAY CHAOTIC SYSTEMS

徐进明1, 李丽香2, 彭海朋2, 管保柱2   

  1. (1)Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China; (2)Yanshan University, Qinghuangdao 066004, China
  • 收稿日期:2000-12-18 修回日期:2001-03-22 出版日期:2001-08-15 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).

A NEW SLIDING MODE CONTROL FOR A CLASS OF UNCERTAIN TIME-DELAY CHAOTIC SYSTEMS

Li Li-xiang (李丽香)a, Peng Hai-peng (彭海朋)a, Guan Bao-zhu (管保柱)a, Xu Jin-ming (徐进明)b    

  1. a Yanshan University, Qinghuangdao 066004, China; b Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
  • Received:2000-12-18 Revised:2001-03-22 Online:2001-08-15 Published:2005-06-12
  • Supported by:
    Project supported by the Natural Science Foundation of Hebei Province, China (Grant No. 601226).

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摘要： We propose a new sliding mode control scheme for a class of uncertain time-delay chaotic systems. It is shown that a linear time invariant system with the desired system dynamics is used as a reference model for the output of a time-delay chaotic system to track. A sliding mode controller is then designed to drive the output of the time-delay chaotic system to track the desired linear system. On the sliding mode, the output of the controlled time-delay chaotic system can behave like the desired linear system. A simulation example is given in support of the proposed control scheme.

Abstract: We propose a new sliding mode control scheme for a class of uncertain time-delay chaotic systems. It is shown that a linear time invariant system with the desired system dynamics is used as a reference model for the output of a time-delay chaotic system to track. A sliding mode controller is then designed to drive the output of the time-delay chaotic system to track the desired linear system. On the sliding mode, the output of the controlled time-delay chaotic system can behave like the desired linear system. A simulation example is given in support of the proposed control scheme.

Key words: time-delay chaotic systems, sliding mode control, linear desired system

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

  • 05.45.Gg
05.45.Pq (Numerical simulations of chaotic systems)