A simple asymptotic trajectory control of full states of a unified chaotic system
Yu Dong-Chuan (禹东川)a, Wu Ai-Guo (吴爱国)a, Wang Dong-Qing (王冬青)b
a School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China; b College of Automation Engineering, Qingdao University, Qingdao 266071, China
Abstract A simple full-state asymptotic trajectory control (FSATC) scheme is proposed to asymptotically drive full states of a unified chaotic system (UCS) to arbitrary desired trajectories. The FSATC uses only information, i.e. one state of the UCS. A sinusoidal wave and two chaotic variables are taken as illustrative tracking trajectories to verify that using the proposed FSATC can make full UCS states track desired trajectories with high tracking accuracy in a finite time.
Received: 20 May 2005
Revised: 29 August 2005
Accepted manuscript online:
Yu Dong-Chuan (禹东川), Wu Ai-Guo (吴爱国), Wang Dong-Qing (王冬青) A simple asymptotic trajectory control of full states of a unified chaotic system 2006 Chinese Physics 15 306
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