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

Mathematics

Sondes Ben Aoun¹  Mourad Kchaou²  Attia Boudjemline³  Houssem Jerbi³  Ahmed Lakhdar Kouzou⁴  Mohamed Amin Regaieg⁵ 

[1] Department of Computer Engineering, College of Computer Science and Engineering, University of Hail, Hail 2440, Saudi Arabia;Department of Electrical Engineering, College of Engineering, University of Hail, Hail 2440, Saudi Arabia;Department of Industrial Engineering, College of Engineering, University of Hail, Hail 2440, Saudi Arabia;Faculty of Electrical and Control Engineering, Gdansk University of Technology, ul. Narutowicza 11/12, 80-233 Gdańsk, Poland;Lab-STA, LR11ES50, National School of Engineering of Sfax, University of Sfax, Sfax 3038, Tunisia;

关键词: descriptor systems;    TS fuzzy model;    sensor failure;    randomly occurred non-linearity;    CCL;   

DOI  :  10.3390/math9182203

来源: DOAJ

【 摘 要 】

In this paper, the problem of reliable control design with mixed $H_{\infty }$ /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 $H_{\infty }$ /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.

【 授权许可】

Unknown