中国物理B ›› 2008, Vol. 17 ›› Issue (1): 87-91.doi: 10.1088/1674-1056/17/1/016

• GENERAL • 上一篇    下一篇

Design of output feedback controller for a unified chaotic system

李文林, 陈秀琴, 沈志萍   

  1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
  • 出版日期:2008-01-20 发布日期:2008-01-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60643003 and 0611051200).

Design of output feedback controller for a unified chaotic system

Li Wen-Lin(李文林)†, Chen Xiu-Qin(陈秀琴), and Shen Zhi-Ping(沈志萍)   

  1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
  • Online:2008-01-20 Published:2008-01-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60643003 and 0611051200).

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摘要： In this paper, the synchronization of a unified chaotic system is investigated by the use of output feedback controllers; a two-input single-output feedback controller and single-input single-output feedback controller are presented to synchronize the unified chaotic system when the states are not all measurable. Compared with the existing results, the controllers designed in this paper have some advantages such as small feedback gain, simple structure and less conservation. Finally, numerical simulations results are provided to demonstrate the validity and effectiveness of the proposed method.

Abstract: In this paper, the synchronization of a unified chaotic system is investigated by the use of output feedback controllers; a two-input single-output feedback controller and single-input single-output feedback controller are presented to synchronize the unified chaotic system when the states are not all measurable. Compared with the existing results, the controllers designed in this paper have some advantages such as small feedback gain, simple structure and less conservation. Finally, numerical simulations results are provided to demonstrate the validity and effectiveness of the proposed method.

Key words: chaotic system, sliding mode, Lorenz system, exponentially stable

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

  • 05.45.Gg
05.45.Xt (Synchronization; coupled oscillators) 05.45.Pq (Numerical simulations of chaotic systems)