Reliable control of stochastic systems via sliding mode technique

Authors

  • Yugang Niu,

    Corresponding author
    1. Key Laboratory of Advanced Control and Optimization for Chemical Process (East China University of Science and Technology), Ministry of Education, Shanghai, China
    • Correspondence to: Yugang Niu, Key Laboratory of Advanced Control and Optimization for Chemical Process (East China University of Science and Technology), Ministry of Education, Shanghai, China.

      E-mail: acniuyg@ecust.edu.cn

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  • Yonghui Liu,

    1. Key Laboratory of Advanced Control and Optimization for Chemical Process (East China University of Science and Technology), Ministry of Education, Shanghai, China
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  • Tinggang Jia

    1. Shanghai Electric Group Co. Ltd., Shanghai, China
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SUMMARY

This paper considers the problem of sliding mode control for uncertain stochastic systems with possible occurrence of actuator faults. There exist parameter uncertainties and state-dependent noise. Moreover, the faults may happen in any of the actuators. The reliable designing on both passive and adaptive sliding mode controllers is investigated, respectively. Both the reachability of the specified sliding surface and the stochastic stability of the sliding motion are analyzed using the stochastic Lyapunov theory. Finally, numerical simulation results are given.Copyright © 2012 John Wiley & Sons, Ltd.

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