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Fault tolerant control for a class of uncertain chaotic systems with actuator saturation

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Abstract

This paper studies the fault tolerant control problem for a class of uncertain chaotic systems via sliding mode control. Both actuator faults and saturation are considered. Under an actuator redundancy assumption, an important lemma is first given and proved to find a lower bound of fault information and saturation degree. Then an adaptive sliding mode controller is designed to guarantee locally asymptotical stability of synchronization error. Compared with existing literature, an obvious relationship between actuator fault information and stability region is revealed. An improved strategy is also proposed to reduce conservativeness when estimating stability region. Finally, a model of Chua’s circuit systems is used to demonstrate these results.

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Acknowledgements

This work was supported in part by the Funds of National Science of China (Grant Nos. 60974043, 61273148), the National 973 Programme of China (Grant No. 2009CB320604), the Funds of Doctoral Programme of Ministry of Education, China (Grant No. 20100042110027), the funds for the Author of National Excellent Doctoral Dissertation of People’s Republic of China (Grant No. 201157), the Fundamental Research Funds for the Central Universities (No. N110804001).

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Authors and Affiliations

  1. College of Information Science and Engineering, Northeastern University, Shenyang, 110819, China

    Li-Ying Hao & Guang-Hong Yang

  2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, 110819, China

    Guang-Hong Yang

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  1. Li-Ying Hao
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  2. Guang-Hong Yang
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Correspondence to Guang-Hong Yang.

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Hao, LY., Yang, GH. Fault tolerant control for a class of uncertain chaotic systems with actuator saturation. Nonlinear Dyn 73, 2133–2147 (2013). https://doi.org/10.1007/s11071-013-0929-1

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  • DOI: https://doi.org/10.1007/s11071-013-0929-1

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