Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays

This work is concerned with stabilization control of a class of linear switching systems with time-delays in both the input and the communication channels. It is observed that the time-delay in communication channel leads to the mismatch between the plant and the controller. Such a phenomenon can be...

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Main Authors: Lili Jia, Zunbing Sheng
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/906917
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author Lili Jia
Zunbing Sheng
author_facet Lili Jia
Zunbing Sheng
author_sort Lili Jia
collection DOAJ
description This work is concerned with stabilization control of a class of linear switching systems with time-delays in both the input and the communication channels. It is observed that the time-delay in communication channel leads to the mismatch between the plant and the controller. Such a phenomenon can be accounted for by reconstructing switching signal for the overall closed-loop system. Therefore, we derive some sufficient stability conditions by using multiple Lyapunov functions approach and, moreover, present a robust controller design methodology. A numerical example is presented to demonstrate the effectiveness of the proposed method.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-d29653fc173447aa82ebeab754c1e2262025-02-03T01:26:08ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/906917906917Robust Stabilization of Linear Switching Systems with Both Input and Communication DelaysLili Jia0Zunbing Sheng1Yunnan University Dianchi College, Kunming 650228, ChinaSchool of Mechanical & Electrical Engineering, Heilongjiang University, Harbin 150080, ChinaThis work is concerned with stabilization control of a class of linear switching systems with time-delays in both the input and the communication channels. It is observed that the time-delay in communication channel leads to the mismatch between the plant and the controller. Such a phenomenon can be accounted for by reconstructing switching signal for the overall closed-loop system. Therefore, we derive some sufficient stability conditions by using multiple Lyapunov functions approach and, moreover, present a robust controller design methodology. A numerical example is presented to demonstrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2014/906917
spellingShingle Lili Jia
Zunbing Sheng
Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays
Abstract and Applied Analysis
title Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays
title_full Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays
title_fullStr Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays
title_full_unstemmed Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays
title_short Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays
title_sort robust stabilization of linear switching systems with both input and communication delays
url http://dx.doi.org/10.1155/2014/906917
work_keys_str_mv AT lilijia robuststabilizationoflinearswitchingsystemswithbothinputandcommunicationdelays
AT zunbingsheng robuststabilizationoflinearswitchingsystemswithbothinputandcommunicationdelays