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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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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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 |
id | doaj-art-d29653fc173447aa82ebeab754c1e226 |
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 |