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Fault-Tolerant \({H_\infty }\) Control for T–S Fuzzy Persistent Dwell-time Switched Singularly Perturbed Systems with Time-Varying Delays

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Abstract

This work focuses on the problem of fault-tolerant control for nonlinear persistent dwell-time (PDT) switched singularly perturbed systems (SPSs) with time-varying delays. The persistent dwell-time switching mechanism is employed to describe the fast and slow switching among several subsystems in the investigated systems alternatively. In order to reduce the influence of actuator faults on system stability and performance, a fault-tolerant feedback controller is designed. Based on Lyapunov function approach and Takagi–Sugeno fuzzy technique, some sufficient conditions are obtained, which can ensure the exponentially stable and \({H_\infty }\) performance of the closed-loop system. In addition, the fault-tolerant slow state variables feedback (SSVF) controller is obtained by solving a set of linear matrix inequalities (LMIs). Finally, a numerical example, an inverted pendulum model, and a tunnel diode circuit model are given to show the practicability and usefulness of the developed control scheme.

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Acknowledgements

This work was supported by the Natural Science Foundation of China under Grant 61573013.

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Authors and Affiliations

  1. Xidian University, Xi’an, China

    Yaxiao Guo, Junmin Li & Xiaogang Qi

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  1. Yaxiao Guo
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Correspondence to Junmin Li.

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Guo, Y., Li, J. & Qi, X. Fault-Tolerant \({H_\infty }\) Control for T–S Fuzzy Persistent Dwell-time Switched Singularly Perturbed Systems with Time-Varying Delays. Int. J. Fuzzy Syst. 24, 247–264 (2022). https://doi.org/10.1007/s40815-021-01133-7

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  • DOI: https://doi.org/10.1007/s40815-021-01133-7

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