Adaptive Controller Design for a Class of Uncertain Fractional-Order Nonlinear Systems: An Adaptive Fuzzy Approach

被引：59
|
作者：
Liu, Heng [1 ,2 ]
Li, Shenggang [1 ]
Li, Guanjun [2 ]
Wang, Hongxing [3 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
[2] Huainan Normal Univ, Dept Appl Math, Huainan 232038, Peoples R China
[3] Guangxi Univ Nationalities, Sch Sci, Guangxi Key Lab Hybrid Computat & IC Design Anal, Nanning 530006, Peoples R China
来源：
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS | 2018年 / 20卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Adaptive fuzzy control; Fractional-order nonlinear system; Fractional adaptation law; FINITE-TIME STABILITY; ROBUST STABILITY; LINEAR-SYSTEMS; LYAPUNOV FUNCTIONS; NEURAL-NETWORKS; MIMO SYSTEMS; SYNCHRONIZATION; STABILIZATION; SUBJECT; SCHEME;
D O I：
10.1007/s40815-017-0371-5
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
An adaptive fuzzy controller is designed for uncertain fractional-order nonlinear systems in this paper. Fuzzy logic system is utilized to estimate an unknown nonlinear function. By using fractional-order Lyapunov stability criterion, an adaptive fuzzy controller, which is valid for both the Caputo fractional-order systems and the Riemann-Liouville fractional-order systems, is constructed. Fuzzy system parameters are updated by fractional-order differential equations online, and the boundedness of the parameters can be guaranteed. In stability analysis, quadratic Lyapunov functions are utilized, and some basic results which are useful in the stability analysis of fractional-order nonlinear systems are proposed. Finally, simulation results are presented to confirm our results.
引用
收藏
页码：366 / 379
页数：14
相关论文
共 50 条
  • [1] Adaptive Controller Design for a Class of Uncertain Fractional-Order Nonlinear Systems: An Adaptive Fuzzy Approach
    Heng Liu
    Shenggang Li
    Guanjun Li
    Hongxing Wang
    [J]. International Journal of Fuzzy Systems, 2018, 20 : 366 - 379
  • [2] Adaptive fuzzy prescribed performance controller design for a class of uncertain fractional-order nonlinear systems with external disturbances
    Liu, Heng
    Li, Shenggang
    Cao, Jinde
    Li, Guanjun
    Alsaedi, Ahmed
    Alsaadi, Fuad E.
    [J]. NEUROCOMPUTING, 2017, 219 : 422 - 430
  • [3] Fractional-order fuzzy adaptive controller design for uncertain robotic manipulators
    Deng, Yanping
    [J]. INTERNATIONAL JOURNAL OF ADVANCED ROBOTIC SYSTEMS, 2019, 16 (02):
  • [4] Compound Adaptive Fuzzy Synchronization Controller Design for Uncertain Fractional-Order Chaotic Systems
    Liu, Fengyan
    Zhang, Xiulan
    [J]. FRACTAL AND FRACTIONAL, 2022, 6 (11)
  • [5] Adaptive fuzzy control for a class of nonlinear fractional-order systems
    Sun, Yeguo
    Li, Ling
    [J]. PROCEEDINGS OF THE 2019 31ST CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2019), 2019, : 3477 - 3482
  • [6] Robust controller design of a class of uncertain fractional-order nonlinear systems
    Liu, Heng
    Zhang, Xiulan
    Li, Ning
    Lv, Hui
    [J]. PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 390 - 394
  • [7] Adaptive fuzzy controller design for a class of uncertain nonlinear MIMO systems
    Kang, Qiang
    Wang, Wei
    [J]. NONLINEAR DYNAMICS, 2010, 59 (04) : 579 - 591
  • [8] Adaptive fuzzy controller design for a class of uncertain nonlinear MIMO systems
    Qiang Kang
    Wei Wang
    [J]. Nonlinear Dynamics, 2010, 59 : 579 - 591
  • [9] Adaptive Fuzzy Tracking Control Design for a Class of Uncertain Nonstrict-Feedback Fractional-Order Nonlinear SISO Systems
    Yang, Wengui
    Yu, Wenwu
    Lv, Yuezu
    Zhu, Lei
    Hayat, Tasawar
    [J]. IEEE TRANSACTIONS ON CYBERNETICS, 2021, 51 (06) : 3039 - 3053
  • [10] Disturbance observer based adaptive fuzzy synchronization controller design for uncertain fractional-order chaotic systems
    Chen, Youjun
    Wang, Feng
    [J]. FRONTIERS IN APPLIED MATHEMATICS AND STATISTICS, 2022, 8
12345