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Chinese Physics, 2006, Vol. 15(6): 1190-1195    DOI: 10.1088/1009-1963/15/6/011
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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 
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
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.
Keywords:  Finite-time control      sliding mode      nonlinear input      chaotic system  
Received:  02 July 2005      Revised:  20 February 2006      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Gg (Control of chaos, applications of chaos)  
Fund: 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).

Cite this article: 

Gao Tie-Gang (高铁杠), Chen Zeng-Qiang (陈增强), Chen Guan-Rong (陈关荣), Yuan Zhu-Zhi (袁著祉) Finite-time control of chaotic systems with nonlinear inputs 2006 Chinese Physics 15 1190

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