Iterative learning control for MIMO parabolic partial difference systems with time delay

Abstract In this paper, the iterative learning control (ILC) technique is extended to multi-input multi-output (MIMO) systems governed by parabolic partial difference equations with time delay. Two types of ILC algorithm are presented for the system with state delay and input delay, respectively. Th...

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Main Authors:	Xisheng Dai, Xuemin Tu, Yong Zhao, Guangxing Tan, Xingyu Zhou
Format:	Article
Language:	English
Published:	SpringerOpen 2018-09-01
Series:	Advances in Difference Equations
Subjects:	Iterative learning control Parabolic partial difference systems Time delay Convergence
Online Access:	http://link.springer.com/article/10.1186/s13662-018-1797-2

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spelling	doaj-7069cc007f8541bc914e040c84e737162020-11-25T01:46:07ZengSpringerOpenAdvances in Difference Equations1687-18472018-09-012018111910.1186/s13662-018-1797-2Iterative learning control for MIMO parabolic partial difference systems with time delayXisheng Dai0Xuemin Tu1Yong Zhao2Guangxing Tan3Xingyu Zhou4School of Electrical and Information Engineering, Guangxi University of Science and TechnologyDepartment of Mathematics, University of KansasCollege of Mathematics and Systems Science, Shangdong University of Science and TechnologySchool of Electrical and Information Engineering, Guangxi University of Science and TechnologySchool of Electrical and Information Engineering, Guangxi University of Science and TechnologyAbstract In this paper, the iterative learning control (ILC) technique is extended to multi-input multi-output (MIMO) systems governed by parabolic partial difference equations with time delay. Two types of ILC algorithm are presented for the system with state delay and input delay, respectively. The sufficient conditions for tracking error convergence are established under suitable assumptions. Detailed convergence analysis is given based on discrete Gronwall’s inequality and discrete Green’s formula for the systems with time-varying uncertainty coefficients. Numerical results show the effectiveness of the proposed ILC algorithms.http://link.springer.com/article/10.1186/s13662-018-1797-2Iterative learning controlParabolic partial difference systemsTime delayConvergence
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Xisheng Dai Xuemin Tu Yong Zhao Guangxing Tan Xingyu Zhou
spellingShingle	Xisheng Dai Xuemin Tu Yong Zhao Guangxing Tan Xingyu Zhou Iterative learning control for MIMO parabolic partial difference systems with time delay Advances in Difference Equations Iterative learning control Parabolic partial difference systems Time delay Convergence
author_facet	Xisheng Dai Xuemin Tu Yong Zhao Guangxing Tan Xingyu Zhou
author_sort	Xisheng Dai
title	Iterative learning control for MIMO parabolic partial difference systems with time delay
title_short	Iterative learning control for MIMO parabolic partial difference systems with time delay
title_full	Iterative learning control for MIMO parabolic partial difference systems with time delay
title_fullStr	Iterative learning control for MIMO parabolic partial difference systems with time delay
title_full_unstemmed	Iterative learning control for MIMO parabolic partial difference systems with time delay
title_sort	iterative learning control for mimo parabolic partial difference systems with time delay
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2018-09-01
description	Abstract In this paper, the iterative learning control (ILC) technique is extended to multi-input multi-output (MIMO) systems governed by parabolic partial difference equations with time delay. Two types of ILC algorithm are presented for the system with state delay and input delay, respectively. The sufficient conditions for tracking error convergence are established under suitable assumptions. Detailed convergence analysis is given based on discrete Gronwall’s inequality and discrete Green’s formula for the systems with time-varying uncertainty coefficients. Numerical results show the effectiveness of the proposed ILC algorithms.
topic	Iterative learning control Parabolic partial difference systems Time delay Convergence
url	http://link.springer.com/article/10.1186/s13662-018-1797-2
work_keys_str_mv	AT xishengdai iterativelearningcontrolformimoparabolicpartialdifferencesystemswithtimedelay AT xuemintu iterativelearningcontrolformimoparabolicpartialdifferencesystemswithtimedelay AT yongzhao iterativelearningcontrolformimoparabolicpartialdifferencesystemswithtimedelay AT guangxingtan iterativelearningcontrolformimoparabolicpartialdifferencesystemswithtimedelay AT xingyuzhou iterativelearningcontrolformimoparabolicpartialdifferencesystemswithtimedelay
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Iterative learning control for MIMO parabolic partial difference systems with time delay

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