A 2D systems approach to iterative learning control for discrete linear processes with zero Markov parameters

被引:18
作者
Hladowski, Lukasz [1 ]
Galkowski, Krzysztof [1 ]
Cai, Zhonglun [2 ]
Rogers, Eric [2 ]
Freeman, Chris T. [2 ]
Lewin, Paul L. [2 ]
机构
[1] Univ Zielona Gora, Inst Control & Computat Engn, Zielona Gora, Poland
[2] Univ Southampton, Sch Elect & Comp Sci, Southampton SO17 1BJ, Hants, England
关键词
iterative learning control; repetitive process; experimental verification; ROBOTS;
D O I
10.1080/00207179.2011.575799
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this article a new approach to iterative learning control for the practically relevant case of deterministic discrete linear plants with uniform rank greater than unity is developed. The analysis is undertaken in a 2D systems setting that, by using a strong form of stability for linear repetitive processes, allows simultaneous consideration of both trial-to-trial error convergence and along the trial performance, resulting in design algorithms that can be computed using linear matrix inequalities (LMIs). Finally, the control laws are experimentally verified on a gantry robot that replicates a pick and place operation commonly found in a number of applications to which iterative learning control is applicable.
引用
收藏
页码:1246 / 1262
页数:17
相关论文
共 20 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] [Anonymous], 2007, LECT NOTES CONTROL I
  • [3] BETTERING OPERATION OF ROBOTS BY LEARNING
    ARIMOTO, S
    KAWAMURA, S
    MIYAZAKI, F
    [J]. JOURNAL OF ROBOTIC SYSTEMS, 1984, 1 (02): : 123 - 140
  • [4] Arimoto S., 1985, Proceedings of the 24th IEEE Conference on Decision and Control (Cat. No.85CH2245-9), P1375
  • [5] Arimoto S., 1984, Proceedings of the 23rd IEEE Conference on Decision and Control (Cat. No. 84CH2093-3), P1064
  • [6] A survey of iterative learning control
    Bristow, Douglas A.
    Tharayil, Marina
    Alleyne, Andrew G.
    [J]. IEEE CONTROL SYSTEMS MAGAZINE, 2006, 26 (03): : 96 - 114
  • [7] A robust high-order P-type iterative learning controller using current iteration tracking error
    Chen, YQ
    Wen, CY
    Sun, MX
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1997, 68 (02) : 331 - 342
  • [8] Danwei Wang, 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), P1605, DOI 10.1109/CDC.1999.830251
  • [9] Further results on the experimental evaluation of iterative learning control algorithms for non-minimum phase plants
    Freeman, C.
    Lewin, P. L.
    Rogers, E.
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2007, 80 (04) : 569 - 582
  • [10] Galkowski K, 2006, IEEE DECIS CONTR P, P1437