Non-fragile sampled and delayed fuzzy output feedback stabilization for uncertain nonlinear systems

IF 3.2 1区数学 Q2 COMPUTER SCIENCE, THEORY & METHODS

Fuzzy Sets and Systems Pub Date : 2025-02-04 DOI:10.1016/j.fss.2025.109298

Zebin Wu , Meng Li , Chenguang Wu , Yanjun Shen

引用次数: 0

Abstract

In this paper, the problem of fuzzy adaptive output feedback stabilization is investigated for a class of uncertain nonlinear systems with sampled and delayed outputs. There also exists unknown measurement noise. An extended fuzzy nonlinear system is obtained on the basis of an output filter and the fuzzy logical approximation theory. Subsequently, a non-fragile sampled output feedback controller is constructed in the light of a non-fragile fuzzy extended observer. By the time delay method, the closed-loop system is transformed into a continuous and delayed nonlinear system. Sufficient conditions are given to ensure the stability performance of the closed-loop system. Finally, the effectiveness of the proposed scheme is validated through a dynamic model of a single linkage robotic arm.

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不确定非线性系统的非脆弱采样延迟模糊输出反馈镇定

研究了一类具有采样和延迟输出的不确定非线性系统的模糊自适应输出反馈镇定问题。还存在未知的测量噪声。基于输出滤波器和模糊逻辑逼近理论，得到了一个扩展的模糊非线性系统。然后，根据非脆弱模糊扩展观测器构造了非脆弱采样输出反馈控制器。通过时滞法将闭环系统转化为连续时滞非线性系统。给出了保证闭环系统稳定性的充分条件。最后，通过单连杆机械臂的动力学模型验证了所提方案的有效性。

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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来源期刊

Fuzzy Sets and Systems 数学-计算机：理论方法

CiteScore

6.50

自引率

17.90%

发文量

321

审稿时长

6.1 months

期刊介绍： Since its launching in 1978, the journal Fuzzy Sets and Systems has been devoted to the international advancement of the theory and application of fuzzy sets and systems. The theory of fuzzy sets now encompasses a well organized corpus of basic notions including (and not restricted to) aggregation operations, a generalized theory of relations, specific measures of information content, a calculus of fuzzy numbers. Fuzzy sets are also the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling: fuzzy rule-based systems. Numerous works now combine fuzzy concepts with other scientific disciplines as well as modern technologies. In mathematics fuzzy sets have triggered new research topics in connection with category theory, topology, algebra, analysis. Fuzzy sets are also part of a recent trend in the study of generalized measures and integrals, and are combined with statistical methods. Furthermore, fuzzy sets have strong logical underpinnings in the tradition of many-valued logics.