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Fuzzy adaptive tracking control of uncertain chaotic system with input perturbance and nonlinearity

Li Ning Liu Heng Xiang Wei

Fuzzy adaptive tracking control of uncertain chaotic system with input perturbance and nonlinearity

Li Ning, Liu Heng, Xiang Wei
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  • Received Date:  25 April 2012
  • Accepted Date:  14 June 2012
  • Published Online:  05 December 2012

Fuzzy adaptive tracking control of uncertain chaotic system with input perturbance and nonlinearity

  • 1. Department of Mathematics and Computional Science, Huainan Normal University, Huainan 232038, China
Fund Project:  Project supported by the Natural Science Foundation of the Anhui Higher Education Institutions, China (Grant No. KJ2011Z357), the Foundation of Huainan Science And Technology Plan Projects, China (Grant No. 2011A08016), and Natural Science Foundation of Huainan Normal University, China (Grant No. 2011LK77).

Abstract: In this paper, we investigate the signal tracking problem of the uncertain time-varying delay chaotic system with control input nonlinearity and the fuzzy adaptive variable structure control method is proposed. The fuzzy logic system approximates the nonlinearity of the system. The unknown time-varying delay uncertainties are compensated using an appropriate Lyapunov-Krasovskii functional. The proposed controller can make the tracking errors converge to an adjustable region and all signals of the closed system is bounded. The designed control method can have a certain robustness against the disturbance of the system. Finally, taking the simulations on a multi-scroll chaotic system for example, the effectiveness of the proposed method is illustrated.

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