Stability of First and High Order Iterative Learning Control with Data Dropouts

被引:51
作者
Bu, Xuhui [1 ]
Hon, Zhongsheng [2 ,3 ]
Yu, Fashan [1 ]
机构
[1] Henan Polytech Univ, Sch Elect Engn & Automat, Jiaozuo, Peoples R China
[2] Beijing Jiaotong Univ, Sch Elect & Informat Engn, Dept Automat Control, Beijing, Peoples R China
[3] Beijing Jiaotong Univ, Sch Elect & Informat Engn, Adv Control Syst Lab, Beijing, Peoples R China
基金
中国国家自然科学基金;
关键词
High-order learning scheme; iterative learning control; measurement dropout; robustness; NETWORKED CONTROL-SYSTEMS; H-INFINITY CONTROL; TIME; DESIGN;
D O I
10.1007/s12555-011-0504-9
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 presents a stability analysis of the iterative learning control (ILC) problem for discrete-lime systems when the plants are subject to output measurement data dropouts. It is assumed that data dropout occurs during the data transfers from the plant to the ILC controller, resulting in what is called intermittent ILC. Using the super-vector approach for ILC, the expectation of output error is used to develop conditions for stability of the first order ILC and high order ILC processes. Through the theoretical analysis, it is shown that the convergence of the intermittent ILC is guaranteed although some measurements are missing. The analysis is also supported by numerical examples.
引用
收藏
页码:843 / 849
页数:7
相关论文
共 33 条
[1]  
Ahn H., 2008, P 2008 IFAC WORLD C, V41, P12442, DOI [https://doi.org/10.3182/20080706-5-KR-1001.02106, DOI 10.3182/20080706-5-KR-1001.02106]
[2]  
Ahn H.-S., 2006, P IEEE INT S INT CON, P832
[3]   Stability analysis of discrete-time iterative learning control systems with interval uncertainty [J].
Ahn, Hyo-Sung ;
Moore, Kevin L. ;
Chen, YangQuan .
AUTOMATICA, 2007, 43 (05) :892-902
[4]   Iterative learning control: Brief survey and categorization [J].
Ahn, Hyo-Sung ;
Chen, YangQuan ;
Moore, Kevin L. .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART C-APPLICATIONS AND REVIEWS, 2007, 37 (06) :1099-1121
[5]   BETTERING OPERATION OF ROBOTS BY LEARNING [J].
ARIMOTO, S ;
KAWAMURA, S ;
MIYAZAKI, F .
JOURNAL OF ROBOTIC SYSTEMS, 1984, 1 (02) :123-140
[6]   Stability of iterative learning control with data dropouts via asynchronous dynamical system [J].
Bu X.-H. ;
Hou Z.-S. .
International Journal of Automation and Computing, 2011, 8 (01) :29-36
[7]   A statistical analysis of certain iterative learning control algorithms [J].
Butcher, M. ;
Karimi, A. ;
Longchamp, R. .
INTERNATIONAL JOURNAL OF CONTROL, 2008, 81 (01) :156-196
[8]  
Chen W. S., ASIAN J CON IN PRESS
[9]  
Chen WS, 2010, INT J CONTROL AUTOM, V8, P177, DOI [10.1007/s12555-010-0201-0, 10.1007/S12555-010-0201-0]
[10]   An iterative learning controller with initial state learning [J].
Chen, Y ;
Wen, C ;
Gong, Z ;
Sun, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (02) :371-376