Practical stability of fractional-order nonlinear fuzzy systems

IF 2.4 4区计算机科学 Q2 COMPUTER SCIENCE, THEORY & METHODS

International Journal of General Systems Pub Date : 2023-10-03 DOI:10.1080/03081079.2023.2219825

Mohamed Rhaima, Lassaad Mchiri, N. H. Taieb, M. Hammami, A. B. Makhlouf

引用次数: 0

Abstract

In this paper, we present a practical Mittag–Leffler stability for a new class of fractional-order nonlinear Takagi–Sugeno fuzzy uncertain systems. Based on fractional-order Lyapunov stability theory and the parallel distributed compensation (PDC) controller techniques, we show the convergence of the solutions of the closed-loop considered system toward a neighborhood of the origin. Furthermore, a numerical example is given to show the applicability of the main result.

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分数阶非线性模糊系统的实用稳定性

本文给出了一类新的分数阶非线性Takagi-Sugeno模糊不确定系统的实际Mittag-Leffler稳定性。基于分数阶Lyapunov稳定性理论和并行分布补偿(PDC)控制器技术，我们证明了被考虑的闭环系统的解向原点的邻域收敛。最后通过数值算例说明了主要结果的适用性。

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

International Journal of General Systems 工程技术-计算机：理论方法

CiteScore

4.10

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： International Journal of General Systems is a periodical devoted primarily to the publication of original research contributions to system science, basic as well as applied. However, relevant survey articles, invited book reviews, bibliographies, and letters to the editor are also published. The principal aim of the journal is to promote original systems ideas (concepts, principles, methods, theoretical or experimental results, etc.) that are broadly applicable to various kinds of systems. The term “general system” in the name of the journal is intended to indicate this aim–the orientation to systems ideas that have a general applicability. Typical subject areas covered by the journal include: uncertainty and randomness; fuzziness and imprecision; information; complexity; inductive and deductive reasoning about systems; learning; systems analysis and design; and theoretical as well as experimental knowledge regarding various categories of systems. Submitted research must be well presented and must clearly state the contribution and novelty. Manuscripts dealing with particular kinds of systems which lack general applicability across a broad range of systems should be sent to journals specializing in the respective topics.