抽样数据控制下T-S模糊系统的抽样模糊相关LKF

IF 11.9 1区计算机科学 Q1 COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE

IEEE Transactions on Fuzzy Systems Pub Date : 2025-09-02 DOI:10.1109/TFUZZ.2025.3605340

Zhou-Zhou Liu;Li Jin;Yong He

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引用次数: 0

摘要

本文主要研究采样数据控制下的Takagi-Sugeno （T-S）模糊系统的稳定性分析与镇定设计。首先，通过捕获采样时间在采样区间内的恒定特征，提出了一种新的采样模糊相关Lyapunov-Krasovskii泛函（LKF），该泛函可以同时引入模糊相关信息和采样相关信息，避免了隶属函数导数的影响。其次，提出了一种利用松弛隶属度相关矩阵同步装置与控制器间不匹配最小矩的方法，克服了现有工作中最小矩必须大于零的限制；因此，得到了更好的稳定性和稳定条件。最后，通过两个实例验证了所提方法的有效性和优点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Sampling-Fuzzy-Dependent LKF for T-S Fuzzy Systems Under Sampled-Data Control

This article focuses on the stability analysis and stabilization design of Takagi–Sugeno (T-S) fuzzy systems under sampled-data control. First, by capturing the constant characteristic of the sampling time in the sampling interval, a novel sampling-fuzzy-dependent Lyapunov–Krasovskii functional (LKF) is proposed, which can introduce both fuzzy-dependent and sampling-dependent information and avoid the derivatives of membership functions (MFs). Second, a novel synchronization method via the slack membership-dependent matrices is proposed to synchronize the mismatched MFs between the plant and controller, which can overcome the limitations that the MFs must be greater than zero in existing works. Thus, improved stability and stabilization conditions are obtained. Finally, two case studies are given to show the effectiveness and merits of the proposed methods.

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来源期刊

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.