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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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2014/906917 |
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doaj-d29653fc173447aa82ebeab754c1e2262020-11-24T23:52:20ZengHindawi LimitedAbstract 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 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Lili Jia Zunbing Sheng |
spellingShingle |
Lili Jia Zunbing Sheng Robust Stabilization of Linear Switching Systems with Both Input and Communication Delays Abstract and Applied Analysis |
author_facet |
Lili Jia Zunbing Sheng |
author_sort |
Lili Jia |
title |
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_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_sort |
robust stabilization of linear switching systems with both input and communication delays |
publisher |
Hindawi Limited |
series |
Abstract and Applied Analysis |
issn |
1085-3375 1687-0409 |
publishDate |
2014-01-01 |
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. |
url |
http://dx.doi.org/10.1155/2014/906917 |
work_keys_str_mv |
AT lilijia robuststabilizationoflinearswitchingsystemswithbothinputandcommunicationdelays AT zunbingsheng robuststabilizationoflinearswitchingsystemswithbothinputandcommunicationdelays |
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1725473615277719552 |