H∞-based design approach to discrete-time learning control systems with iteration-varying disturbances

被引:8
|
作者
Meng, Deyuan [1 ]
Jia, Yingmin [1 ]
Du, Junping [2 ]
Yu, Fashan [3 ]
机构
[1] Beihang Univ, Dept Syst & Control, Beijing 100191, Peoples R China
[2] Beijing Univ Posts & Telecommun, Sch Comp Sci & Technol, Key Lab Intelligent Telecommun Software & Multime, Beijing 100876, Peoples R China
[3] Henan Polytec Univ, Sch Elect Engn & Automat, Henan 454000, Peoples R China
关键词
terative learning control; discrete-time systems; iteration-varying disturbances; H-infinity performance; linear matrix inequality;
D O I
10.1109/CDC.2009.5399848
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 is concerned with the iterative learning control (ILC) problem for discrete-time systems with iteration-varying disturbances. Using the so-called super-vector approach to ILC, the discrete domain bounded real lemma is employed to develop a sufficient condition ensuring both the stability and the desired H-infinity performance of the ILC process. It is shown that this sufficient condition can be presented in terms of linear matrix inequalities (LMIs), which can also determine the learning gain matrix. A numerical simulation example is included to validate the theoretical results.
引用
收藏
页码:4882 / 4887
页数:6
相关论文
共 50 条
  • [41] Iterative Learning Control Based Automatic Train Operation with Iteration-Varying Parameter
    Li, Zhenxuan
    Yin, Chenkun
    Jin, Shangtai
    Hou, Zhongsheng
    [J]. 2013 10TH IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA), 2013, : 51 - 56
  • [42] ADAPTIVE-CONTROL OF DISCRETE-TIME TIME-VARYING SYSTEMS WITH UNKNOWN DETERMINISTIC DISTURBANCES
    XIANYA, X
    EVANS, RJ
    [J]. IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS, 1984, 131 (03): : 81 - 84
  • [43] Discrete-time H∞ control of linear parameter-varying systems
    Pandey, Amit P.
    de Oliveira, Mauricio C.
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2019, 92 (12) : 2750 - 2760
  • [44] Adaptive iterative learning control for MIMO nonlinear systems performing iteration-varying tasks
    Li, Xuefang
    Shen, Dong
    Xu, Jian-Xin
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (16): : 9206 - 9231
  • [45] Sampled-data iterative learning control for continuous-time nonlinear systems with iteration-varying lengths
    Wang, Lanjing
    Li, Xuefang
    Shen, Dong
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (08) : 3073 - 3091
  • [46] H∞ Control Observer-Based for Discrete-Time Singularly Perturbed Systems With Nonlinear Disturbances
    Liu, Wei
    Que, Xuejie
    Wang, Yanyan
    [J]. IEEE ACCESS, 2022, 10 : 14496 - 14506
  • [47] Minimax Q-learning design for H∞ control of linear discrete-time systems
    Li, Xinxing
    Xi, Lele
    Zha, Wenzhong
    Peng, Zhihong
    [J]. FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING, 2022, 23 (03) : 438 - 451
  • [48] H∞ control design for discrete-time switched fuzzy systems
    Wang, Tiechao
    Tong, Shaocheng
    [J]. NEUROCOMPUTING, 2015, 151 : 782 - 789
  • [49] H∞ Control design for discrete-time nonlinear delayed systems
    Subramaniyam, Ramasamy
    Joo, Young Hoon
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2023, 33 (11) : 6188 - 6210
  • [50] Constrained control of uncertain, time-varying, discrete-time systems: An interpolation-based approach
    Nguyen, Hoai-Nam
    [J]. Lecture Notes in Control and Information Sciences, 2014, 451