Membership Function-Dependent $H_{\infty }$ Control for Set-Described T-S Fuzzy System via Improved Dynamic Memory Event-Triggered Mechanism

IF 10.7 1区 计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE IEEE Transactions on Fuzzy Systems Pub Date : 2024-10-23 DOI:10.1109/TFUZZ.2024.3485175
Qinghua Hou;Jiuxiang Dong
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Abstract

In this article, we address the $H_{\infty }$ control problem for a class of Takagi-Sugeno (T-S) fuzzy systems, where the premise variables often work in some fuzzy sets. By combining the properties of the product inference engine and set theory, we develop a membership function-dependent $H_{\infty }$ index, enhancing disturbance suppression by assigning diverse weights to various subsystem $H_{\infty }$ indices. An advanced event-triggered mechanism, utilizing dynamic memory variables, is proposed to expand the threshold and conserve resources, outperforming conventional dynamic event-triggered mechanisms (DETM). Theoretical analysis indicates that the dynamic memory event-triggered mechanism (DMETM) offers a more extensive event-triggered interval than the conventional memoryless DETM. Furthermore, in the proposed DMETM, a system-related dynamic variable is designed to replace the corresponding constant coefficient, increasing design flexibility and relaxing the design constraints of current state-of-the-art DETMs. Specifically, by constructing a monotonic nonincreasing bounded function, the system information is successfully integrated into the design of the dynamic coefficient. This design allows the threshold of the event-triggered condition to be adjusted more flexibly according to the system's operational status, thereby improving the practicality of the scheme in real-world applications. Besides, Zeno behavior is avoided. Finally, the effectiveness of the scheme is verified by an example.
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来源期刊
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems 工程技术-工程:电子与电气
CiteScore
20.50
自引率
13.40%
发文量
517
审稿时长
3.0 months
期刊介绍: The IEEE Transactions on Fuzzy Systems is a scholarly journal that focuses on the theory, design, and application of fuzzy systems. It aims to publish high-quality technical papers that contribute significant technical knowledge and exploratory developments in the field of fuzzy systems. The journal particularly emphasizes engineering systems and scientific applications. In addition to research articles, the Transactions also includes a letters section featuring current information, comments, and rebuttals related to published papers.
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