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Observer-Based Adaptive Fuzzy Finite-Time Fault-Tolerant Control for Stochastic Nonlinear Systems with State Constraint

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Abstract

This paper investigates the tracking problem for stochastic nonlinear system with actuator fault and full states constraints. The adaptive laws for nonlinear uncertainties and the estimation of lose effectiveness are combined during the process of controller design. Fuzzy logic systems is utilized to approximate the unknown nonlinear functions. Quartic barrier Lyapunov function is introduced to guarantee the constraints for stochastic system are not violate. Fuzzy observer is designed to handle with the unmeasured states. Lyapunov finite-time stability theorem is used to guarantee the finite-time convergence performance. Then, output feedback-based adaptive fuzzy finite-time fault-tolerant controller is designed. Even the system subject to actuator faults, all the state variables of the nonlinear stochastic system are semi-global ultimately bounded in probability. Compare with the existing result, the control strategy proposed in this paper is more complex and have more potential applications. Finally, two examples are given to verify the validity of the designed control strategy.

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Acknowledgements

This work was partially supported by National Natural Science Foundation of China (Grant No. 61473115), the Natural Science Foundation of Henan Province (Grant No. 202300410149), the Key Scientific Research Projects of Universities in Henan Province(Grant Nos. 20A120008, 22A413002), the Scientific and Technological project of Henan Province (Grant No. 222102240009), Henan Provience talent introduction plan (Grant No. HNGD2021042).

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Authors and Affiliations

  1. School of Mechatronics Engineering, Henan University of Science and Technology, Luoyang, 471003, Henan, China

    Nan Wang & Zhumu Fu

  2. Key Laboratory of Robot and Intelligent System of Henan Province, Henan University of Science and Technology, Luoyang, 471023, Henan, China

    Nan Wang, Zhumu Fu, Fazhan Tao & Shuzhong Song

  3. Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, 150080, Helongjiang, China

    Tong Wang

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  1. Nan Wang
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  2. Zhumu Fu
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  3. Fazhan Tao
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  4. Shuzhong Song
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  5. Tong Wang
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Correspondence to Zhumu Fu.

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Wang, N., Fu, Z., Tao, F. et al. Observer-Based Adaptive Fuzzy Finite-Time Fault-Tolerant Control for Stochastic Nonlinear Systems with State Constraint. Int. J. Fuzzy Syst. 24, 3265–3276 (2022). https://doi.org/10.1007/s40815-022-01337-5

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  • DOI: https://doi.org/10.1007/s40815-022-01337-5

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