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Dynamic Surface-Based Adaptive Fuzzy Fixed-Time Fault-Tolerant Control for Nonstrict Feedback Nonlinear Systems With Non-affine Faults

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Abstract

In the paper, a dynamic surface-based adaptive fuzzy fixed-time fault-tolerant control scheme is developed for nonstrict feedback nonlinear systems with non-affine faults. Firstly, the computational complexity is reduced by adopting dynamic surface control technique, and unknown nonlinear functions are approximated with the help of fuzzy logic systems. Secondly, non-affine faults involving system states and controller output are taken into account and treated by transforming it into nonlinear in the unknown parameters. Then, under the framework of fixed-time stability, a novel adaptive fuzzy fault-tolerant control strategy is designed so that the closed-loop system is semi-globally practically fixed-time stable. Finally, a numerical simulation and a model simulation are given to demonstrate the effectiveness of the proposed control scheme.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 62301212 and 62371182), the Program for Science and Technology Innovation Talents in the University of Henan Province (Grant No. 23HASTIT021), the Scientific and Technological Project of Henan Province (Grant Nos. 222102240009 and 222102240067), the Science and Technology Development Plan of Joint Research Program of Henan (Grant No. 225200810007), the Major Science and Technology Projects of Longmen Laboratory (Grant No. 231100220300), the Aeronautical Science Foundation of China (Grant No. 20220001042002), and the Youth Fund Project of Henan Natural Science Foundation (242300420684).

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Correspondence to Zhumu Fu or Fazhan Tao.

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Wang, Y., Fu, Z., Tao, F. et al. Dynamic Surface-Based Adaptive Fuzzy Fixed-Time Fault-Tolerant Control for Nonstrict Feedback Nonlinear Systems With Non-affine Faults. Int. J. Fuzzy Syst. 26, 2157–2171 (2024). https://doi.org/10.1007/s40815-024-01720-4

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  • DOI: https://doi.org/10.1007/s40815-024-01720-4

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