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

Houssem Jerbi, Mourad Kchaou, Attia Boudjemline, Mohamed Amin Regaieg, Sondes Ben Aoun and Ahmed Lakhdar Kouzou
Additional contact information
Houssem Jerbi: Department of Industrial Engineering, College of Engineering, University of Hail, Hail 2440, Saudi Arabia
Mourad Kchaou: Department of Electrical Engineering, College of Engineering, University of Hail, Hail 2440, Saudi Arabia
Attia Boudjemline: Department of Industrial Engineering, College of Engineering, University of Hail, Hail 2440, Saudi Arabia
Mohamed Amin Regaieg: Lab-STA, LR11ES50, National School of Engineering of Sfax, University of Sfax, Sfax 3038, Tunisia
Sondes Ben Aoun: Department of Computer Engineering, College of Computer Science and Engineering, University of Hail, Hail 2440, Saudi Arabia
Ahmed Lakhdar Kouzou: Faculty of Electrical and Control Engineering, Gdansk University of Technology, ul. Narutowicza 11/12, 80-233 Gdańsk, Poland

Mathematics, 2021, vol. 9, issue 18, 1-25

Abstract: In this paper, the problem of reliable control design with mixed H ? /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 ? /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.

Keywords: descriptor systems; TS fuzzy model; sensor failure; randomly occurred non-linearity; CCL (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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