Practical stability of fractional-order nonlinear fuzzy systems

被引：4
|
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
相关论文
共 50 条
  • [11] STABILITY OF FRACTIONAL-ORDER NONLINEAR SYSTEMS DEPENDING ON A PARAMETER
    Ben Makhlouf, Abdellatif
    Hammami, Mohamed Ali
    Sioud, Khaled
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (04) : 1309 - 1321
  • [12] Stability analysis on a class of nonlinear fractional-order systems
    Zhiliang Wang
    Dongsheng Yang
    Huaguang Zhang
    Nonlinear Dynamics, 2016, 86 : 1023 - 1033
  • [13] Stability of Nonlinear Fractional-Order Time Varying Systems
    Huang, Sunhua
    Zhang, Runfan
    Chen, Diyi
    JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2016, 11 (03):
  • [14] BIBO stability of fractional-order controlled nonlinear systems
    Liang, Song
    Wu, Ranchao
    Chen, Liping
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2017, 48 (07) : 1507 - 1514
  • [15] On the practical stability with respect to part of the variables of Π-fractional-order systems
    Ben Makhlouf, Abdellatif
    Sallay, Jihen
    El-sayad, Wael Z.
    ASIAN JOURNAL OF CONTROL, 2025,
  • [16] Practical stability analysis of fractional-order impulsive control systems
    Stamova, Ivanka
    Henderson, Johnny
    ISA TRANSACTIONS, 2016, 64 : 77 - 85
  • [17] Adaptive Fuzzy Backstepping Control of Fractional-Order Nonlinear Systems
    Liu, Heng
    Pan, Yongping
    Li, Shenggang
    Chen, Ye
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2017, 47 (08): : 2209 - 2217
  • [18] Adaptive fuzzy control for a class of nonlinear fractional-order systems
    Sun, Yeguo
    Li, Ling
    PROCEEDINGS OF THE 2019 31ST CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2019), 2019, : 3477 - 3482
  • [19] Stability and Stabilization of Fractional-Order Uncertain Nonlinear Systems With Multiorder
    Chen, Liping
    Guo, Wenliang
    Gu, Panpan
    Lopes, Antonio M. M.
    Chu, Zhaobi
    Chen, YangQuan
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2023, 70 (02) : 576 - 580
  • [20] Stability analysis of Caputo fractional-order nonlinear systems revisited
    Hadi Delavari
    Dumitru Baleanu
    Jalil Sadati
    Nonlinear Dynamics, 2012, 67 : 2433 - 2439
12345