Iterative Learning Control with Forgetting Factor for Linear Distributed Parameter Systems with Uncertainty

Iterative learning control is an intelligent control algorithm which imitates human learning process. Based on this concept, this paper discussed iterative learning control problem for a class parabolic linear distributed parameter systems with uncertainty coefficients. Iterative learning control al...

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Main Authors: Xisheng Dai, Senping Tian, Wenguang Luo, Yajun Guo
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Control Science and Engineering
Online Access:http://dx.doi.org/10.1155/2014/508573
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author Xisheng Dai
Senping Tian
Wenguang Luo
Yajun Guo
author_facet Xisheng Dai
Senping Tian
Wenguang Luo
Yajun Guo
author_sort Xisheng Dai
collection DOAJ
description Iterative learning control is an intelligent control algorithm which imitates human learning process. Based on this concept, this paper discussed iterative learning control problem for a class parabolic linear distributed parameter systems with uncertainty coefficients. Iterative learning control algorithm with forgetting factor is proposed and the conditions for convergence of algorithm are established. Combining the matrix theory with the basic theory of distributed parameter systems gives rigorous convergence proof of the algorithm. Finally, by using the forward difference scheme of partial differential equation to solve the problems, the simulation results are presented to illustrate the feasibility of the algorithm.
format Article
id doaj-art-3e4c3eb8651b4a28a6d42c16a3ef31c8
institution Kabale University
issn 1687-5249
1687-5257
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Control Science and Engineering
spelling doaj-art-3e4c3eb8651b4a28a6d42c16a3ef31c82025-02-03T05:47:12ZengWileyJournal of Control Science and Engineering1687-52491687-52572014-01-01201410.1155/2014/508573508573Iterative Learning Control with Forgetting Factor for Linear Distributed Parameter Systems with UncertaintyXisheng Dai0Senping Tian1Wenguang Luo2Yajun Guo3School of Electrical and Information Engineering, Guangxi University of Science and Technology, Liuzhou 545006, ChinaSchool of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, ChinaSchool of Electrical and Information Engineering, Guangxi University of Science and Technology, Liuzhou 545006, ChinaSchool of Electrical and Information Engineering, Guangxi University of Science and Technology, Liuzhou 545006, ChinaIterative learning control is an intelligent control algorithm which imitates human learning process. Based on this concept, this paper discussed iterative learning control problem for a class parabolic linear distributed parameter systems with uncertainty coefficients. Iterative learning control algorithm with forgetting factor is proposed and the conditions for convergence of algorithm are established. Combining the matrix theory with the basic theory of distributed parameter systems gives rigorous convergence proof of the algorithm. Finally, by using the forward difference scheme of partial differential equation to solve the problems, the simulation results are presented to illustrate the feasibility of the algorithm.http://dx.doi.org/10.1155/2014/508573
spellingShingle Xisheng Dai
Senping Tian
Wenguang Luo
Yajun Guo
Iterative Learning Control with Forgetting Factor for Linear Distributed Parameter Systems with Uncertainty
Journal of Control Science and Engineering
title Iterative Learning Control with Forgetting Factor for Linear Distributed Parameter Systems with Uncertainty
title_full Iterative Learning Control with Forgetting Factor for Linear Distributed Parameter Systems with Uncertainty
title_fullStr Iterative Learning Control with Forgetting Factor for Linear Distributed Parameter Systems with Uncertainty
title_full_unstemmed Iterative Learning Control with Forgetting Factor for Linear Distributed Parameter Systems with Uncertainty
title_short Iterative Learning Control with Forgetting Factor for Linear Distributed Parameter Systems with Uncertainty
title_sort iterative learning control with forgetting factor for linear distributed parameter systems with uncertainty
url http://dx.doi.org/10.1155/2014/508573
work_keys_str_mv AT xishengdai iterativelearningcontrolwithforgettingfactorforlineardistributedparametersystemswithuncertainty
AT senpingtian iterativelearningcontrolwithforgettingfactorforlineardistributedparametersystemswithuncertainty
AT wenguangluo iterativelearningcontrolwithforgettingfactorforlineardistributedparametersystemswithuncertainty
AT yajunguo iterativelearningcontrolwithforgettingfactorforlineardistributedparametersystemswithuncertainty