H∞ approach to monotonically convergent ILC for uncertain time-varying delay systems

被引：15
作者：
Meng, Deyuan [1 ,2 ,3 ]
Jia, Yingmin [1 ,2 ,3 ]
Du, Junping [4 ]
机构：
[1] Beihang Univ BUAA, Res Div 7, Beijing, Peoples R China
[2] Beihang Univ BUAA, Dept Syst & Control, Beijing, Peoples R China
[3] Beihang Univ BUAA, Key Lab Math Informat & Behav Semant, Beijing, Peoples R China
[4] Beijing Univ Posts & Telecommun, Sch Comp Sci & Technol, Beijing Key Lab Intelligent Telecommun Software &, Beijing 100088, Peoples R China
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2015年 / 46卷 / 02期
基金：
北京市自然科学基金;
关键词：
iterative learning control; linear matrix inequality; monotonic convergence; time-delay systems; ITERATIVE LEARNING CONTROL; NONLINEAR-SYSTEMS; CONTROL DESIGN; INPUT; TRACKING;
D O I：
10.1080/00207721.2013.775392
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper deals with iterative learning control (ILC) design for uncertain time-delay systems. Monotonic convergence of the resulting ILC process is studied, and a sufficient condition within an H-infinity-based framework is developed. It is shown that under this framework, delay-dependent conditions can be obtained in terms of linear matrix inequalities (LMIs), together with formulas for gain matrices design. A numerical example is provided to illustrate the effectiveness of the robust H-infinity-based approach to ILC designed via LMIs.
引用
收藏
页码：209 / 217
页数：9
相关论文
共 34 条
  • [1] Iterative learning control: Brief survey and categorization
    Ahn, Hyo-Sung
    Chen, YangQuan
    Moore, Kevin L.
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART C-APPLICATIONS AND REVIEWS, 2007, 37 (06): : 1099 - 1121
  • [2] A survey of iterative learning control
    Bristow, Douglas A.
    Tharayil, Marina
    Alleyne, Andrew G.
    [J]. IEEE CONTROL SYSTEMS MAGAZINE, 2006, 26 (03): : 96 - 114
  • [3] A statistical analysis of certain iterative learning control algorithms
    Butcher, M.
    Karimi, A.
    Longchamp, R.
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2008, 81 (01) : 156 - 196
  • [4] NONLINEAR ADAPTIVE LEARNING CONTROL FOR UNKNOWN TIME-VARYING PARAMETERS AND UNKNOWN TIME-VARYING DELAYS
    Chen, Weisheng
    Zhang, Zhengqiang
    [J]. ASIAN JOURNAL OF CONTROL, 2011, 13 (06) : 903 - 913
  • [5] Perfect tracking for maximum-phase nonlinear systems by iterative learning control
    Choi, CH
    Jeong, GM
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2001, 32 (09) : 1177 - 1183
  • [6] Use of neural networks in iterative learning control systems
    Choi, JY
    Park, HJ
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2000, 31 (10) : 1227 - 1239
  • [7] A convex optimization approach to robust iterative learning control for linear systems with time-varying parametric uncertainties
    Dinh Hoa Nguyen
    Banjerdpongchai, David
    [J]. AUTOMATICA, 2011, 47 (09) : 2039 - 2043
  • [8] On the disturbance properties of high order iterative learning control algorithms
    Gunnarsson, S.
    Norrlof, M.
    [J]. AUTOMATICA, 2006, 42 (11) : 2031 - 2034
  • [9] Experimentally supported 2D systems based iterative learning control law design for error convergence and performance
    Hladowski, Lukasz
    Galkowski, Krzysztof
    Cai, Zhonglun
    Rogers, Eric
    Freeman, Chris T.
    Lewin, Paul L.
    [J]. CONTROL ENGINEERING PRACTICE, 2010, 18 (04) : 339 - 348
  • [10] Iterative learning control design for Smith predictor
    Hu, QP
    Xu, JX
    Lee, TH
    [J]. SYSTEMS & CONTROL LETTERS, 2001, 44 (03) : 201 - 210
1234