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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Main Authors: Yanke Zhong, Tefang Chen
Format: Article
Language:English
Published: Wiley 2014-01-01
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.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2014-01-01
publisher Wiley
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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