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Quantized Fault-Tolerant Control for Descriptor Systems with Intermittent Actuator Faults, Randomly Occurring Sensor Non-Linearity, and Missing Data

Author

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  • Mourad Kchaou

    (Department of Electrical Engineering, College of Engineering, University of Ha’il, Hail 2440, Saudi Arabia
    Lab-STA, LR11ES50, National School of Engineering of Sfax, University of Sfax, Sfax 3029, Tunisia)

  • Houssem Jerbi

    (Department of Industrial Engineering, College of Engineering, University of Ha’il, Hail 2440, Saudi Arabia)

  • Dan Stefanoiu

    (Faculty of Automatic Control and Computers, Politehnica University of Bucharest, 030018 Bucharest, Romania)

  • Dumitru Popescu

    (Faculty of Automatics and Computers, University Politehnica of Bucharest, 060042 Bucuresti, Romania)

Abstract

This paper examines the fault-tolerant control problem for discrete-time descriptor systems that are susceptible to intermittent actuator failures, nonlinear sensor data, and probability-based missing data. The discrete-time non-homogeneous Markov chain was adopted to describe the stochastic behavior of actuator faults. Moreover, Bernoulli-distributed stochastic variables with known conditional probabilities were employed to describe the practical features of random sensor non-linearity and missing data. In this study, the output signals were quantized and a dynamic output feedback controller was synthesized such that the closed-loop system was stochastically admissible and satisfied the strictly ( Q , S , R ) - γ -dissipative performance index. The theoretical developments are illustrated through numerical simulations of an infinite machine bus.

Suggested Citation

  • Mourad Kchaou & Houssem Jerbi & Dan Stefanoiu & Dumitru Popescu, 2022. "Quantized Fault-Tolerant Control for Descriptor Systems with Intermittent Actuator Faults, Randomly Occurring Sensor Non-Linearity, and Missing Data," Mathematics, MDPI, vol. 10(11), pages 1-20, May.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:11:p:1872-:d:827811
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    References listed on IDEAS

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    1. Dumitru Popescu & Catalin Dimon & Pierre Borne & Severus Constantin Olteanu & Mihaela Ancuta Mone, 2020. "Advanced Control for Hydrogen Pyrolysis Installations," Energies, MDPI, vol. 13(12), pages 1-15, June.
    2. Liang Cao & Yuan Tao & Youqing Wang & Juan Li & Biao Huang, 2017. "Reliable control for nonlinear discrete-time systems with multiple intermittent faults in sensors or actuators," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(2), pages 302-315, January.
    3. Farag Ali El-Sheikhi & Hisham M. Soliman & Razzaqul Ahshan & Eklas Hossain, 2021. "Regional Pole Placers of Power Systems under Random Failures/Repair Markov Jumps," Energies, MDPI, vol. 14(7), pages 1-14, April.
    4. Liu, Yangfan & Ma, Yuechao & Wang, Yanning, 2018. "Reliable finite-time sliding-mode control for singular time-delay system with sensor faults and randomly occurring nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 341-357.
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