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Polynomial Adaptive Observer-Based Fault Tolerant Control for Time Delay Polynomial Fuzzy Systems Subject to Actuator Faults

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Abstract

The delay-dependent state, Fault Estimation (FE) and Fault Tolerant Control problems for polynomial fuzzy systems with time delay are investigated in this paper. Firstly, a polynomial adaptive fuzzy observer is used to estimate system states and actuator faults. A polynomial Lyapunov–Krasovskii functional including double integral term is introduced in order to obtain delay-dependent sufficient conditions in terms of Sum Of Squares (SOS) which can be solved via SOSTOOLS and a Semi-Definite Program solver. Then, by exploiting the FE information, a polynomial fuzzy fault tolerant controller is designed to guarantee the stability of the system and to compensate the impact of actuator faults. Finally, several examples are given to illustrate the use of the present delay-dependent result.

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Authors and Affiliations

  1. Laboratory of Sciences and Techniques of Automatic Control & Computer Engineering (Lab-STA), University of Sfax, PB 1173, 3038, Sfax, Tunisia

    Hamdi Gassara & Mohamed Boukattaya

  2. Modeling, Information, and Systems Laboratory (MIS), University of Picardie Jules Verne, UFR des Sciences, 33 Rue St Leu, 80000, Amiens, France

    Ahmed El Hajjaji

Authors
  1. Hamdi Gassara
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  2. Mohamed Boukattaya
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  3. Ahmed El Hajjaji
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Correspondence to Ahmed El Hajjaji.

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Gassara, H., Boukattaya, M. & El Hajjaji, A. Polynomial Adaptive Observer-Based Fault Tolerant Control for Time Delay Polynomial Fuzzy Systems Subject to Actuator Faults. Int. J. Fuzzy Syst. 25, 1327–1337 (2023). https://doi.org/10.1007/s40815-023-01458-5

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  • DOI: https://doi.org/10.1007/s40815-023-01458-5

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