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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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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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 |