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H-infinity and Passive Fuzzy Control for Non-Linear Descriptor Systems with Time-Varying Delay and Sensor Faults

Abstract : In this paper, the problem of reliable control design with mixed H-infinity/passive performance is discussed for a class of Takagi-Sugeno TS fuzzy descriptor systems with time-varying delay, sensor failure, and randomly occurred non-linearity. Based on the Lyapunov theory, firstly, a less conservative admissible criterion is established by combining the delay decomposition and reciprocally convex approaches. Then, the attention is focused on the design of a reliable static output feedback (SOF) controller with mixed H-infinity/passive performance requirements. The key merit of the paper is to propose a simple method to design such a controller since the system output is subject to probabilistic missing data and noise. Using the output vector as a state component, an augmented model is introduced, and sufficient conditions are derived to achieve the desired performance of the closed-loop system. In addition, the cone complementarity linearization (CCL) algorithm is provided to calculate the controller gains. At last, three numerical examples, including computer-simulated truck-trailer and ball and beam systems are given to show the efficacy of our proposed approach, compared with existing ones in the literature.
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https://hal-u-picardie.archives-ouvertes.fr/hal-03609193
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Soumis le : mardi 15 mars 2022 - 13:56:49
Dernière modification le : mercredi 31 août 2022 - 09:26:27

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Houssem Jerbi, Mourad Kchaou, Attia Boudjemline, Mohamed Amin Regaieg, Sondes Ben Aoun, et al.. H-infinity and Passive Fuzzy Control for Non-Linear Descriptor Systems with Time-Varying Delay and Sensor Faults. Mathematics , MDPI, 2021, 9 (18), ⟨10.3390/math9182203⟩. ⟨hal-03609193⟩

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