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Adaptive robust fuzzy control for a class of uncertain chaotic systems

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Abstract

In this paper, the output feedback control of uncertain chaotic systems is addressed via an adaptive robust fuzzy approach. Fuzzy logic systems are employed to approximate uncertain nonlinear functions in the chaotic systems. Because only partial information of the system’s states is needed to be known, an observer is given to estimate the unmeasured states. Compared with the existing results in the observer design, the prior knowledge on dynamic uncertainties is relaxed and a class of more general chaotic systems is considered as well as robustness to the approximation error is improved. It can be proven that the closed-loop system is stable in the sense that all the variables are bounded. Simulation example for the unified chaotic systems is given to verify the effectiveness of the proposed method.

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Authors and Affiliations

  1. Department of Mathematics and Physics, Liaoning University of Technology, Jinzhou, 121001, China

    Yan-Jun Liu & Ya-Qin Zheng

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  1. Yan-Jun Liu
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  2. Ya-Qin Zheng
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Correspondence to Yan-Jun Liu.

Additional information

This work was supported in part by the National Natural Science Foundation of China (60874056) and the Foundation of Educational Department of Liaoning Province (2008312).

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Liu, YJ., Zheng, YQ. Adaptive robust fuzzy control for a class of uncertain chaotic systems. Nonlinear Dyn 57, 431–439 (2009). https://doi.org/10.1007/s11071-008-9453-0

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  • DOI: https://doi.org/10.1007/s11071-008-9453-0

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