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
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 257卷
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
收藏
页码：546 / 552
页数：7
相关论文
共 50 条
  • [41] Fractional-Order PID Controller (FOPID)-Based Iterative Learning Control for a Nonlinear Boiler System
    Jan, Ahmed Zubair
    Kedzia, Krzysztof
    Abbass, Muhammad Jamshed
    ENERGIES, 2023, 16 (03)
  • [42] Iterative Learning Control for Nonlinear Time-delay Repetitive Systems with Arbitrary Initial Value
    Tao Hongfeng
    Zhang Hua
    Yang Huizhong
    Xu Jie
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 8865 - 8870
  • [43] Fractional-order iterative learning control with initial state learning design
    Zhao, Yang
    Zhou, Fengyu
    Wang, Yugang
    Li, Yan
    NONLINEAR DYNAMICS, 2017, 90 (02) : 1257 - 1268
  • [44] Fractional-order iterative learning control with initial state learning design
    Yang Zhao
    Fengyu Zhou
    Yugang Wang
    Yan Li
    Nonlinear Dynamics, 2017, 90 : 1257 - 1268
  • [45] Robust iterative learning control for a class of nonlinear systems
    Xu, JX
    Qu, ZH
    AUTOMATICA, 1998, 34 (08) : 983 - 988
  • [46] An Identification Based Optimization of Fractional-order Iterative Learning Control
    Li, Yan
    Zhao, Yang
    Chen, YangQuan
    Ahn, Hyo-Sung
    26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC), 2014, : 7 - 12
  • [47] Quantized iterative learning control for singular nonlinear fractional-order time-delay multi-agent systems with iteration-varying reference trajectories and switching topologies
    Zhou, Xingyu
    Wang, Haoping
    Wang, Kai
    Tian, Yang
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 125
  • [48] Iterative learning control for nonlinear differential inclusion systems
    Liu, Shengda
    Wang, JinRong
    Shen, Dong
    Feckan, Michal
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (07) : 2937 - 2952
  • [49] Robust second-order PD type iterative learning control for a class of uncertain fractional order singular systems
    Lazarevic, Mihailo P.
    Tzekis, Panagiotis
    JOURNAL OF VIBRATION AND CONTROL, 2016, 22 (08) : 2004 - 2018
  • [50] Design and Analysis of Fractional Order PDα-Type Iterative Learning Control
    Zhao, Yang
    Zhou, Fengyu
    Wang, Da
    Li, Yan
    IFAC PAPERSONLINE, 2017, 50 (01): : 8077 - 8083
12345