Iterative learning control for MIMO parabolic partial difference systems with time delay

被引：5
|
作者：
Dai, Xisheng [1 ]
Tu, Xuemin [2 ]
Zhao, Yong [3 ]
Tan, Guangxing [1 ]
Zhou, Xingyu [1 ]
机构：
[1] Guangxi Univ Sci & Technol, Sch Elect & Informat Engn, Liuzhou, Peoples R China
[2] Univ Kansas, Dept Math, Lawrence, KS 66045 USA
[3] Shangdong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
基金：
中国国家自然科学基金;
关键词：
Iterative learning control; Parabolic partial difference systems; Time delay; Convergence; CONTROL DESIGN; NONEXISTENCE; CRITERIA;
D O I：
10.1186/s13662-018-1797-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the iterative learning control (ILC) technique is extended to multi-input multi-output (MIMO) systems governed by parabolic partial difference equations with time delay. Two types of ILC algorithm are presented for the system with state delay and input delay, respectively. The sufficient conditions for tracking error convergence are established under suitable assumptions. Detailed convergence analysis is given based on discrete Gronwall's inequality and discrete Green's formula for the systems with time-varying uncertainty coefficients. Numerical results show the effectiveness of the proposed ILC algorithms.
引用
收藏
页数：19
相关论文
共 50 条
  • [1] Iterative learning control for MIMO parabolic partial difference systems with time delay
    Xisheng Dai
    Xuemin Tu
    Yong Zhao
    Guangxing Tan
    Xingyu Zhou
    [J]. Advances in Difference Equations, 2018
  • [2] Iterative learning control of nonlinear parabolic partial difference systems
    School of Electrical and Information Engineering, Guangxi University of Science and Technology, Liuzhou
    Guangxi
    545006, China
    不详
    Guangdong
    510640, China
    [J]. Kong Zhi Li Lun Yu Ying Yong, 12 (1607-1612):
  • [3] Iterative Learning Consensus Control for Nonlinear Partial Difference Multiagent Systems with Time Delay
    Wang, Cun
    Dai, Xisheng
    Li, Kene
    Zhou, Zupeng
    [J]. COMPLEXITY, 2021, 2021
  • [4] D-type iterative learning control for a class of parabolic partial difference systems
    Dai, Xisheng
    Mei, Sange
    Tian, Senping
    Yu, Ling
    [J]. TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2018, 40 (10) : 3105 - 3114
  • [5] Reliable Control for a Class of MIMO Nonlinear Systems with Time-Delay by Adaptive Iterative Learning Control
    Liu Heng
    Wang Yanjie
    Zhang Ruikun
    [J]. PROCEEDINGS OF THE 39TH CHINESE CONTROL CONFERENCE, 2020, : 1867 - 1873
  • [6] Iterative Learning Control for MIMO Singular Distributed Parameter Systems with Parabolic Type
    Zhou, Xingyu
    Dai, Xisheng
    Wang, Daxi
    Qin, Mimi
    [J]. 2017 CHINESE AUTOMATION CONGRESS (CAC), 2017, : 4093 - 4098
  • [7] Iterative learning control for uncertain time-delay systems
    Ji, G
    Luo, Q
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 1300 - 1306
  • [8] Iterative learning control for switched singular time-delay systems
    Gu, Panpan
    Tian, Senping
    Liu, Qian
    [J]. JOURNAL OF VIBRATION AND CONTROL, 2018, 24 (20) : 4839 - 4849
  • [9] Iterative Learning Control for Distribute Parameter Systems with Time-Delay
    Dai, Xisheng
    Tian, Senping
    [J]. 2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, 2011, : 2304 - +
  • [10] Iterative Learning Control Design on Nonlinear Time-delay Systems
    Zhan Xisheng
    [J]. PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 2107 - 2110
12345