期刊
MATHEMATICS
卷 9, 期 18, 页码 -出版社
MDPI
DOI: 10.3390/math9182203
关键词
descriptor systems; TS fuzzy model; sensor failure; randomly occurred non-linearity; CCL
类别
资金
- Research Deanship at the University of Ha'il, Saudi Arabia [RG20097]
This paper discusses the problem of reliable control design for a specific class of fuzzy descriptor systems with characteristics such as time-varying delay, sensor failure, and randomly occurred non-linearity. By introducing a new method for controller design, the performance and robustness of the system are improved.
In this paper, the problem of reliable control design with mixed H-infinity/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-infinity/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.
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