Practical stability of fractional-order nonlinear fuzzy systems

被引：2
|
作者：
Rhaima, Mohamed [1 ]
Mchiri, Lassaad [2 ]
Taieb, Nizar Hadj [3 ]
Hammami, Mohamed Ali [3 ]
Ben Makhlouf, Abdellatif [3 ]
机构：
[1] King Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh, Saudi Arabia
[2] Univ Evry Val Essonne, Dept Math, ENSIIE, Evry Courcouronnes, France
[3] Sfax Univ, Fac Sci, Dept Math, Sfax, Tunisia
来源：
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS | 2023年 / 52卷 / 07期
关键词：
Practical stability; Takagi-Sugeno fractional-order system; Lyapunov function; STABILIZATION; FEEDBACK; DESIGN;
D O I：
10.1080/03081079.2023.2219825
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
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.
引用
收藏
页码：864 / 875
页数：12
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