Abstract A state-observer based full-state asymptotic trajectory control (OFSTC) method requiring a scalar state is presented to asymptotically drive all the states of chaotic systems to arbitrary desired trajectories. It is no surprise that OFSTC can obtain good tracking performance as desired due to using a state-observer. Significantly OFSTC requires only a scalar state of chaotic systems. A sinusoidal wave and two chaotic variables were taken as illustrative tracking trajectories to validate that using OFSTC can make all the states of a unified chaotic system track the desired trajectories with high tracking accuracy and in a finite time. It is noted that this is the first time that the state-observer of chaotic systems is designed on the basis of Kharitonov's Theorem.
Received: 19 January 2006
Revised: 08 February 2006
Accepted manuscript online:
PACS:
05.45.-a
(Nonlinear dynamics and chaos)
Cite this article:
Yu Dong-Chuan (禹东川), Xia Lin-Hua (夏临华), Wang Dong-Qing (王冬青) An observer based asymptotic trajectory control using a scalar state for chaotic systems 2006 Chinese Physics 15 1454
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