Fractional order nonlinear systems with delay in iterative learning control

被引:60
|
作者
Yan, Li [1 ]
Wei, Jiang [1 ]
机构
[1] Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China
基金
国家教育部博士点专项基金资助; 中国国家自然科学基金;
关键词
Fractional order with delay; Generalized Gronwall inequality; Iterative learning control;
D O I
10.1016/j.amc.2015.01.014
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we discuss a P-type iterative learning control (ILC) scheme for a class of fractional- order nonlinear systems with delay. By introducing the lambda-norm and using Gronwall inequality, the sufficient condition for the robust convergence of the tracking errors is obtained. Based on this convergence, the P-type ILC updating laws can be determined. (C) 2015 Elsevier Inc. All rights reserved.
引用
下载
收藏
页码:546 / 552
页数:7
相关论文
共 50 条
  • [21] An Exploration on Adaptive Iterative Learning Control for a Class of Commensurate High-order Uncertain Nonlinear Fractional Order Systems
    Wei, Jianming
    Zhang, Youan
    Bao, Hu
    IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2018, 5 (02) : 618 - 627
  • [22] D-Type Iterative Learning Control for Fractional-Order Linear Time-Delay Systems
    Lan, Yong-Hong
    Zhou, Yong
    ASIAN JOURNAL OF CONTROL, 2013, 15 (03) : 669 - 677
  • [23] A Study on Iterative Learning Control for Nonlinear Impulsive Fractional Differential Systems
    LI Nana
    Wuhan University Journal of Natural Sciences, 2020, 25 (06) : 496 - 500
  • [24] Iterative learning control for impulsive fractional order time-delay systems with nonpermutable constant coefficient matrices
    Aydin, Mustafa
    Mahmudov, Nazim I.
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2022, 36 (06) : 1419 - 1438
  • [25] Closed-loop PDα-type Iterative Learning Control for Fractional Nonlinear Systems with Time-delay
    Yu Chenchen
    Wang Jing
    2017 11TH ASIAN CONTROL CONFERENCE (ASCC), 2017, : 723 - 728
  • [26] Iterative Learning Control Design on Nonlinear Time-delay Systems
    Zhan Xisheng
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 2107 - 2110
  • [27] Adaptive control of fractional order delay nonlinear multi-agent systems
    Li Y.
    Mao Z.-Z.
    Guo Y.-L.
    Zhang Y.-Z.
    Kongzhi Lilun Yu Yingyong/Control Theory and Applications, 2023, 40 (06): : 1089 - 1096
  • [28] A Robust Algorithm for Nonlinear Variable-Order Fractional Control Systems with Delay
    Tenreiro Machado, Jose Antonio
    Moghaddam, Behrouz Parsa
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2018, 19 (3-4) : 231 - 238
  • [29] Fractional Order Iterative Learning Control for Fractional Order System with Unknown Initialization
    Li, Yan
    Chen, YangQuan
    Ahn, Hyo-Sung
    2014 AMERICAN CONTROL CONFERENCE (ACC), 2014, : 5712 - 5717
  • [30] Consensus Tracking of Fractional-Order Multiagent Systems via Fractional-Order Iterative Learning Control
    Lv, Shuaishuai
    Pan, Mian
    Li, Xungen
    Ma, Qi
    Lan, Tianyi
    Li, Bingqiang
    Cai, Wenyu
    COMPLEXITY, 2019, 2019