Analysis of Iterative Learning Control for a Class of Linear Discrete-Time Switched Systems

An iterative learning control scheme is applied to a class of linear discrete-time switched systems with arbitrary switching rules. The application is based on the assumption that the switched system repetitively operates over a finite time interval. By taking advantage of the super vector approach,...

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Main Authors: Xuan Yang, Xiaoe Ruan
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2015/464175
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author Xuan Yang
Xiaoe Ruan
author_facet Xuan Yang
Xiaoe Ruan
author_sort Xuan Yang
collection DOAJ
description An iterative learning control scheme is applied to a class of linear discrete-time switched systems with arbitrary switching rules. The application is based on the assumption that the switched system repetitively operates over a finite time interval. By taking advantage of the super vector approach, convergence is discussed when noise is free and robustness is analyzed when the controlled system is disturbed by bounded noise. The analytical results manifest that the iterative learning control algorithm is feasible and effective for the linear switched system. To support the theoretical analysis, numerical simulations are made.
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spelling doaj-art-c0741c45b8a74e428480644cd96c8f202025-08-20T03:23:23ZengWileyAbstract and Applied Analysis1085-33751687-04092015-01-01201510.1155/2015/464175464175Analysis of Iterative Learning Control for a Class of Linear Discrete-Time Switched SystemsXuan Yang0Xiaoe Ruan1Department of Applied Mathematics, School of Mathematics and Statistics, Xi’an Jiaotong University, No. 28, Xianning West Road, Xi’an, Shaanxi 710049, ChinaDepartment of Applied Mathematics, School of Mathematics and Statistics, Xi’an Jiaotong University, No. 28, Xianning West Road, Xi’an, Shaanxi 710049, ChinaAn iterative learning control scheme is applied to a class of linear discrete-time switched systems with arbitrary switching rules. The application is based on the assumption that the switched system repetitively operates over a finite time interval. By taking advantage of the super vector approach, convergence is discussed when noise is free and robustness is analyzed when the controlled system is disturbed by bounded noise. The analytical results manifest that the iterative learning control algorithm is feasible and effective for the linear switched system. To support the theoretical analysis, numerical simulations are made.http://dx.doi.org/10.1155/2015/464175
spellingShingle Xuan Yang
Xiaoe Ruan
Analysis of Iterative Learning Control for a Class of Linear Discrete-Time Switched Systems
Abstract and Applied Analysis
title Analysis of Iterative Learning Control for a Class of Linear Discrete-Time Switched Systems
title_full Analysis of Iterative Learning Control for a Class of Linear Discrete-Time Switched Systems
title_fullStr Analysis of Iterative Learning Control for a Class of Linear Discrete-Time Switched Systems
title_full_unstemmed Analysis of Iterative Learning Control for a Class of Linear Discrete-Time Switched Systems
title_short Analysis of Iterative Learning Control for a Class of Linear Discrete-Time Switched Systems
title_sort analysis of iterative learning control for a class of linear discrete time switched systems
url http://dx.doi.org/10.1155/2015/464175
work_keys_str_mv AT xuanyang analysisofiterativelearningcontrolforaclassoflineardiscretetimeswitchedsystems
AT xiaoeruan analysisofiterativelearningcontrolforaclassoflineardiscretetimeswitchedsystems