D-type iterative learning control for a class of parabolic partial difference systems

被引：17
|
作者：
Dai, Xisheng [1 ,3 ]
Mei, Sange [1 ]
Tian, Senping [2 ]
Yu, Ling [1 ]
机构：
[1] Guangxi Univ Sci & Technol, Sch Elect & Informat Engn, 268 Donghuan Rd, Liuzhou 545006, Peoples R China
[2] South China Univ Technol, Sch Automat Sci & Engn, Guangzhou, Guangdong, Peoples R China
[3] Dept Guangxi Educ, Key Lab Intelligent Integrated Automat, Guilin, Peoples R China
来源：
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2018年 / 40卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Iterative learning control; convergence; tracking; partial difference systems; initial state learning; CONVERGENCE; CRITERIA;
D O I：
10.1177/0142331217746630
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 paper, an iterative learning control problem is addressed for a class of parabolic partial difference systems. Several discrete D-type iterative learning control algorithms with initial state learning are proposed for the systems which have no direct channel between the input and output as well as the initial state value being unfixed in the learning process. Based on fundamental mathematical analysis tools and the discrete Gronwall inequality, sufficient conditions for tracking error convergence in the iterative domain for open-loop, closed-loop and open-closed-loop iterative learning control are established and proven respectively. Numerical simulations verify the effectiveness of the theoretical results.
引用
收藏
页码：3105 / 3114
页数：10
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