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

Mourad Kchaou, Houssem Jerbi, Dan Stefanoiu and Dumitru Popescu
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Mourad Kchaou: Department of Electrical Engineering, College of Engineering, University of Ha’il, Hail 2440, Saudi Arabia
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

Mathematics, 2022, vol. 10, issue 11, 1-20

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.

Keywords: intermittent actuator faults; Markov process; probabilistic missing data; randomly occurring sensor non-linearity; output feedback control; dissipativity (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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