Robust Observer Design for Switched Positive Linear System with Uncertainties
This paper is concerned with the design of a robust observer for the switched positive linear system with uncertainties. Sufficient conditions of building a robust observer are established by using the multiple copositive Lyapunov-krasovskii function and the average dwell time approach. By introduci...
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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/10.1155/2014/745906 |
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author | Yanke Zhong Tefang Chen |
author_facet | Yanke Zhong Tefang Chen |
author_sort | Yanke Zhong |
collection | DOAJ |
description | This paper is concerned with the design of a robust observer for the switched positive linear system with uncertainties. Sufficient conditions of building a robust observer are established by using the multiple copositive Lyapunov-krasovskii function and the average dwell time approach. By introducing an auxiliary slack variable, these sufficient conditions are transformed into LMI (linear matrix inequality). A numerical example is given to illustrate the validities of obtained results. |
format | Article |
id | doaj-art-b38768e4bcce467ab474e9afdaaeb9f4 |
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-b38768e4bcce467ab474e9afdaaeb9f42025-02-03T01:24:31ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/745906745906Robust Observer Design for Switched Positive Linear System with UncertaintiesYanke Zhong0Tefang Chen1School of Information Science and Engineering, Central South University, Changsha 410075, ChinaSchool of Information Science and Engineering, Central South University, Changsha 410075, ChinaThis paper is concerned with the design of a robust observer for the switched positive linear system with uncertainties. Sufficient conditions of building a robust observer are established by using the multiple copositive Lyapunov-krasovskii function and the average dwell time approach. By introducing an auxiliary slack variable, these sufficient conditions are transformed into LMI (linear matrix inequality). A numerical example is given to illustrate the validities of obtained results.http://dx.doi.org/10.1155/2014/745906 |
spellingShingle | Yanke Zhong Tefang Chen Robust Observer Design for Switched Positive Linear System with Uncertainties Abstract and Applied Analysis |
title | Robust Observer Design for Switched Positive Linear System with Uncertainties |
title_full | Robust Observer Design for Switched Positive Linear System with Uncertainties |
title_fullStr | Robust Observer Design for Switched Positive Linear System with Uncertainties |
title_full_unstemmed | Robust Observer Design for Switched Positive Linear System with Uncertainties |
title_short | Robust Observer Design for Switched Positive Linear System with Uncertainties |
title_sort | robust observer design for switched positive linear system with uncertainties |
url | http://dx.doi.org/10.1155/2014/745906 |
work_keys_str_mv | AT yankezhong robustobserverdesignforswitchedpositivelinearsystemwithuncertainties AT tefangchen robustobserverdesignforswitchedpositivelinearsystemwithuncertainties |