中国物理B ›› 2007, Vol. 16 ›› Issue (5): 1258-1262.doi: 10.1088/1009-1963/16/5/015

• GENERAL • 上一篇    下一篇

Chaotifying a stable linear controllable system by single input state feedback

吴峥茂, 卢俊国, 谢剑英   

  1. Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China
  • 收稿日期:2006-08-16 修回日期:2006-09-26 出版日期:2007-05-20 发布日期:2007-05-20

Chaotifying a stable linear controllable system by single input state feedback

Wu Zheng-Mao(吴峥茂)†, Lu Jun-Guo(卢俊国), and Xie Jian-Ying(谢剑英)   

  1. Department of Automation, Shanghai Jiaotong University, Shanghai 200030, China
  • Received:2006-08-16 Revised:2006-09-26 Online:2007-05-20 Published:2007-05-20

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摘要： In this paper, an approach for chaotifying a stable controllable linear system via single input state-feedback is presented. The overflow function of the system states is designed as the feedback controller, which can make the fixed point of the closed-loop system to be a snap-back repeller, thereby yields chaotic dynamics. Based on the Marotto theorem, it proves theoretically that the closed-loop system is chaotic in the sense of Li and Yorke. Finally, the simulation results are used to illustrate the effectiveness of the proposed method.

Abstract: In this paper, an approach for chaotifying a stable controllable linear system via single input state-feedback is presented. The overflow function of the system states is designed as the feedback controller, which can make the fixed point of the closed-loop system to be a snap-back repeller, thereby yields chaotic dynamics. Based on the Marotto theorem, it proves theoretically that the closed-loop system is chaotic in the sense of Li and Yorke. Finally, the simulation results are used to illustrate the effectiveness of the proposed method.

Key words: chaotification, overflow function, Marotto theorem, state-feedback

中图分类号:  (Synchronization; coupled oscillators)

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