中国物理B ›› 2011, Vol. 20 ›› Issue (10): 100505-100505.doi: 10.1088/1674-1056/20/10/100505

• GENERAL • 上一篇    下一篇

Comparison between two different sliding mode controllers for a fractional-order unified chaotic system

齐冬莲, 王乔, 杨捷   

  1. College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
  • 收稿日期:2011-04-02 修回日期:2011-06-09 出版日期:2011-10-15 发布日期:2011-10-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 60702023) and the Natural Science Foundation of Zhejiang Province, China (Grant No. R1110443).

Comparison between two different sliding mode controllers for a fractional-order unified chaotic system

Qi Dong-Lian(齐冬莲)†, Wang Qiao(王乔), and Yang Jie(杨捷)   

  1. College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
  • Received:2011-04-02 Revised:2011-06-09 Online:2011-10-15 Published:2011-10-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 60702023) and the Natural Science Foundation of Zhejiang Province, China (Grant No. R1110443).

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摘要： Two different sliding mode controllers for a fractional order unified chaotic system are presented. The controller for an integer-order unified chaotic system is substituted directly into the fractional-order counterpart system, and the fractional-order system can be made asymptotically stable by this controller. By proving the existence of a sliding manifold containing fractional integral, the controller for a fractional-order system is obtained, which can stabilize it. A comparison between these different methods shows that the performance of a sliding mode controller with a fractional integral is more robust than the other for controlling a fractional order unified chaotic system.

Abstract: Two different sliding mode controllers for a fractional order unified chaotic system are presented. The controller for an integer-order unified chaotic system is substituted directly into the fractional-order counterpart system, and the fractional-order system can be made asymptotically stable by this controller. By proving the existence of a sliding manifold containing fractional integral, the controller for a fractional-order system is obtained, which can stabilize it. A comparison between these different methods shows that the performance of a sliding mode controller with a fractional integral is more robust than the other for controlling a fractional order unified chaotic system.

Key words: unified chaotic system, fractional-order system, sliding mode control

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

  • 05.45.Gg
87.19.lr (Control theory and feedback) 05.45.-a (Nonlinear dynamics and chaos) 74.40.De (Noise and chaos)