中国物理B ›› 2006, Vol. 15 ›› Issue (6): 1190-1195.doi: 10.1088/1009-1963/15/6/011

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Finite-time control of chaotic systems with nonlinear inputs

高铁杠1, 陈增强2, 袁著祉2, 陈关荣3   

  1. (1)College of Software, Nankai University,Tianjin 300070, China; (2)Department of Automation, Nankai University,Tianjin 300070, China; (3)Department of Electronic Engineering, City University of Hong Kong,Tat Chee Avenue,Kowloon Hong Kong, China
  • 收稿日期:2005-07-02 修回日期:2006-02-20 出版日期:2006-06-20 发布日期:2006-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60374037 and 60574036),the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant 20050055013), and the Program for New Century Excellent Talents of China (NCET).

Finite-time control of chaotic systems with nonlinear inputs

Gao Tie-Gang (高铁杠)a, Chen Zeng-Qiang (陈增强)c, Chen Guan-Rong (陈关荣)b, Yuan Zhu-Zhi (袁著祉)c    

  1. a College of Software, Nankai University, Tianjin 300070, China; b Department of Electronic Engineering, City University of Hong Kong, 83Tat Chee Avenue, Kowloon Hong Kong, China; c Department of Automation, Nankai University, Tianjin 300070, China
  • Received:2005-07-02 Revised:2006-02-20 Online:2006-06-20 Published:2006-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 60374037 and 60574036),the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant 20050055013), and the Program for New Century Excellent Talents of China (NCET).

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摘要： A finite-time controller is designed for a class of nonlinear systems subject to sector nonlinear inputs. A novel and simple approach is suggested based on the finite-time control principle. The designed sliding-mode controller can drive a chaotic system to track a smooth target signal in a finite time. The chaotic Duffing--Holmes oscillator is used for verification and demonstration.

关键词: Finite-time control, sliding mode, nonlinear input, chaotic system

Abstract: A finite-time controller is designed for a class of nonlinear systems subject to sector nonlinear inputs. A novel and simple approach is suggested based on the finite-time control principle. The designed sliding-mode controller can drive a chaotic system to track a smooth target signal in a finite time. The chaotic Duffing--Holmes oscillator is used for verification and demonstration.

Key words: Finite-time control, sliding mode, nonlinear input, chaotic system

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos)