中国物理B ›› 2006, Vol. 15 ›› Issue (7): 1454-1459.doi: 10.1088/1009-1963/15/7/012

• GENERAL • 上一篇    下一篇

An observer based asymptotic trajectory control using a scalar state for chaotic systems

禹东川, 夏临华, 王冬青   

  1. College of Automation Engineering, Qingdao University,Qingdao 266071, China
  • 收稿日期:2006-01-19 修回日期:2006-02-08 出版日期:2006-07-20 发布日期:2006-07-20

An observer based asymptotic trajectory control using a scalar state for chaotic systems

Yu Dong-Chuan (禹东川), Xia Lin-Hua (夏临华), Wang Dong-Qing (王冬青)   

  1. College of Automation Engineering, Qingdao University,Qingdao 266071, China
  • Received:2006-01-19 Revised:2006-02-08 Online:2006-07-20 Published:2006-07-20

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摘要： A state-observer based full-state asymptotic trajectory control (OFSTC) method requiring a scalar state is presented to asymptotically drive all the states of chaotic systems to arbitrary desired trajectories. It is no surprise that OFSTC can obtain good tracking performance as desired due to using a state-observer. Significantly OFSTC requires only a scalar state of chaotic systems. A sinusoidal wave and two chaotic variables were taken as illustrative tracking trajectories to validate that using OFSTC can make all the states of a unified chaotic system track the desired trajectories with high tracking accuracy and in a finite time. It is noted that this is the first time that the state-observer of chaotic systems is designed on the basis of Kharitonov's Theorem.

Abstract: A state-observer based full-state asymptotic trajectory control (OFSTC) method requiring a scalar state is presented to asymptotically drive all the states of chaotic systems to arbitrary desired trajectories. It is no surprise that OFSTC can obtain good tracking performance as desired due to using a state-observer. Significantly OFSTC requires only a scalar state of chaotic systems. A sinusoidal wave and two chaotic variables were taken as illustrative tracking trajectories to validate that using OFSTC can make all the states of a unified chaotic system track the desired trajectories with high tracking accuracy and in a finite time. It is noted that this is the first time that the state-observer of chaotic systems is designed on the basis of Kharitonov's Theorem.

Key words: trajectory control, chaotic control, state observer, a unified chaotic system

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a