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
  • [1] Partial practical stability for fractional-order nonlinear systems
    Ben Makhlouf, Abdellatif
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (09) : 5135 - 5148
  • [2] Stability of a Class of Fractional-Order Nonlinear Systems
    Li, Tianzeng
    Wang, Yu
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [3] Stability and stabilization of a class of fractional-order nonlinear systems for
    Huang, Sunhua
    Wang, Bin
    NONLINEAR DYNAMICS, 2017, 88 (02) : 973 - 984
  • [4] Stability Analysis of Fractional-Order Nonlinear Systems with Delay
    Wang, Yu
    Li, Tianzeng
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2014, 2014
  • [5] Sufficient stability condition for fractional-order nonlinear systems
    Shao, Keyong
    Zuo, Lei
    JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, 2017, 31 (07) : 3531 - 3537
  • [6] Stability analysis of conformable fractional-order nonlinear systems
    Souahi, Abdourazek
    Ben Makhlouf, Abdellatif
    Hammami, Mohamed Ali
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2017, 28 (06): : 1265 - 1274
  • [7] Stability Analysis of a Class of Nonlinear Fractional-Order Systems
    Wen, Xiang-Jun
    Wu, Zheng-Mao
    Lu, Jun-Guo
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2008, 55 (11) : 1178 - 1182
  • [8] Stability analysis on a class of nonlinear fractional-order systems
    Wang, Zhiliang
    Yang, Dongsheng
    Zhang, Huaguang
    NONLINEAR DYNAMICS, 2016, 86 (02) : 1023 - 1033
  • [9] Sufficient stability condition for fractional-order nonlinear systems
    Keyong Shao
    Lei Zuo
    Journal of Mechanical Science and Technology, 2017, 31 : 3531 - 3537
  • [10] A NOTE ON THE LYAPUNOV STABILITY OF FRACTIONAL-ORDER NONLINEAR SYSTEMS
    Dadras, Sara
    Dadras, Soodeh
    Malek, Hadi
    Chen, YangQuan
    PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, 2017, VOL 9, 2017,
12345