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
  • [41] PDα-type iterative learning control with initial state learning for fractional-order systems
    Liu F.
    Zhang K.
    Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University, 2021, 39 (02): : 400 - 406
  • [42] Fractional-Order Iterative Learning Control with Initial State Learning for a Class of Multiagent Systems
    Li, Xungen
    Lv, Shuaishuai
    Pan, Mian
    Ma, Qi
    Cai, Wenyu
    COMPLEXITY, 2020, 2020
  • [43] Iterative learning control for the singular systems with delay
    Tian Senping
    Gang, He
    Lim, Zhou
    PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 6, 2007, : 535 - +
  • [44] Second-order P-type iterative learning control for fractional order non-linear time-delay systems
    Lan, Yong-Hong
    Liu, Xiao
    INTERNATIONAL JOURNAL OF COMPUTATIONAL SCIENCE AND ENGINEERING, 2016, 13 (01) : 48 - 55
  • [45] Iterative learning control of fractional-order linear systems with nonuniform pass lengths
    Zhao, Yang
    Li, Yan
    Zhang, Fangfang
    Liu, Haiying
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2022, 44 (16) : 3071 - 3080
  • [46] Convergence analysis for iterative learning control of fractional-order nonlinear differential inclusion system
    Qiu, Wanzheng
    Feckan, Michal
    Wang, JinRong
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (08): : 5392 - 5410
  • [47] Analysis on PDα iterative learning control algorithm for fractional differential nonlinear singular systems
    Liu, Qian
    Wu, Zhaojing
    Tian, Senping
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2022, 53 (14) : 2967 - 2979
  • [48] Iterative Learning Consensus Control for Nonlinear Partial Difference Multiagent Systems with Time Delay
    Wang, Cun
    Dai, Xisheng
    Li, Kene
    Zhou, Zupeng
    COMPLEXITY, 2021, 2021
  • [49] Iterative learning control for time-delay nonlinear hyperbolic distributed parameter systems
    Hamidaoui, Meryem
    Shao, Cheng
    Haouassi, Samia
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2023, 54 (01) : 180 - 188
  • [50] Iterative learning control for nonlinear systems with uncertain state delay and arbitrary initial error
    Wang H.
    Wang Y.
    Journal of Control Theory and Applications, 2011, 9 (4): : 541 - 547