时滞奇异区间2型模糊系统积分滑模控制的扩展耗散分析

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2024-12-30 DOI:10.1016/j.amc.2024.129251

Fangyuan Liu, Guobao Liu, Huai Liu, Shicheng Huo

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引用次数: 0

摘要

本文研究了具有时滞的奇异区间2型（IT-2）模糊系统积分滑模控制的扩展耗散分析。为了更好地适应二类模糊模型的特点，在考虑状态相关输入矩阵的情况下，引入了合适的积分模糊切换曲面。此外，为了解决时滞带来的保守性，本文利用适当的增广Lyapunov-Krasovskii泛函和基于辅助函数的积分不等式来分析系统的扩展耗散特性。此外，通过利用隶属函数依赖关系（MFD），本文有效地解决了前提变量不匹配问题。文中还给出了反馈系统稳定性和期望滑动面可达性的松弛稳定条件。最后，通过举例验证了该方法的有效性。

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Extended dissipative analysis of integral sliding mode control for singular interval type-2 fuzzy systems with time delay

This paper explores the extended dissipative analysis of integral sliding mode control in the context of singular interval type-2 (IT-2) fuzzy systems with time delays. To better align with the characteristics of type-2 fuzzy models, a suitable integral fuzzy switching surface is introduced, taking into account state-dependent input matrices. Additionally, to address conservatism resulting from time delays, the paper utilizes suitable augmented Lyapunov-Krasovskii functionals and integral inequalities based on auxiliary functions to analyze the system's extended dissipative properties. Furthermore, by leveraging membership function dependency (MFD), this article effectively addresses the premise variable mismatch issue. The paper also provides relaxed stability conditions for feedback system stability and attainability of the desired sliding surface. Finally, the inclusion of illustrative examples serves to validate the efficacy of this approach.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.