NDLI: $H_{∞}$ and Passive Fuzzy Control for Non-Linear Descriptor Systems with Time-Varying Delay and Sensor Faults

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$H_{∞}$ and Passive Fuzzy Control for Non-Linear Descriptor Systems with Time-Varying Delay and Sensor Faults

Content Provider	MDPI
Author	Jerbi, Houssem Kchaou, Mourad Boudjemline, Attia Regaieg, Mohamed Amin Aoun, Sondes Ben Kouzou, Ahmed Lakhdar
Copyright Year	2021
Description	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.
Starting Page	2203
e-ISSN	22277390
DOI	10.3390/math9182203
Journal	Mathematics
Issue Number	18
Volume Number	9
Language	English
Publisher	MDPI
Publisher Date	2021-09-08
Access Restriction	Open
Subject Keyword	Mathematics Industrial Engineering Descriptor Systems Ts Fuzzy Model Sensor Failure Randomly Occurred Non-linearity Ccl
Content Type	Text
Resource Type	Article

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