Robust mixed H2/H1 filtering design for discrete-time switched polytopic linear systems.

The authors deal with mode and parameter-dependent robust mixed H2/H1 filtering design for a class of discrete-time switched polytopic linear systems. The objective is to design a homogeneous switched mixed H2/ H1 filter guaranteeing the asymptotic stability of the resulting filtering error systems...

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Main Authors: Qiu, J., Feng, G., Yang, J.
Format: Villanova Faculty Authorship
Language:English
Published: 2007
Online Access:http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:176161
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spelling Robust mixed H2/H1 filtering design for discrete-time switched polytopic linear systems.
Qiu, J.
Feng, G.
Yang, J.
The authors deal with mode and parameter-dependent robust mixed H2/H1 filtering design for a class of discrete-time switched polytopic linear systems. The objective is to design a homogeneous switched mixed H2/ H1 filter guaranteeing the asymptotic stability of the resulting filtering error systems with given performance measures. Based on a switched parameter-dependent Lyapunov function combined with Finsler's lemma, some novel conditions for robust H2 and H1 performance analysis are proposed and in turn the filter synthesis is developed. It is shown that by using a new linearisation technique combined with a bounding approach, the filter gains can be obtained by solving a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness and less conservatism of the proposed approach.
2007
Villanova Faculty Authorship
vudl:176161
IET Control Theory and Applications 2(5), 2008, 420-430 .
en
dc.title_txt_mv Robust mixed H2/H1 filtering design for discrete-time switched polytopic linear systems.
dc.creator_txt_mv Qiu, J.
Feng, G.
Yang, J.
dc.description_txt_mv The authors deal with mode and parameter-dependent robust mixed H2/H1 filtering design for a class of discrete-time switched polytopic linear systems. The objective is to design a homogeneous switched mixed H2/ H1 filter guaranteeing the asymptotic stability of the resulting filtering error systems with given performance measures. Based on a switched parameter-dependent Lyapunov function combined with Finsler's lemma, some novel conditions for robust H2 and H1 performance analysis are proposed and in turn the filter synthesis is developed. It is shown that by using a new linearisation technique combined with a bounding approach, the filter gains can be obtained by solving a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness and less conservatism of the proposed approach.
dc.date_txt_mv 2007
dc.format_txt_mv Villanova Faculty Authorship
dc.identifier_txt_mv vudl:176161
dc.source_txt_mv IET Control Theory and Applications 2(5), 2008, 420-430 .
dc.language_txt_mv en
author Qiu, J.
Feng, G.
Yang, J.
spellingShingle Qiu, J.
Feng, G.
Yang, J.
Robust mixed H2/H1 filtering design for discrete-time switched polytopic linear systems.
author_facet Qiu, J.
Feng, G.
Yang, J.
dc_source_str_mv IET Control Theory and Applications 2(5), 2008, 420-430 .
format Villanova Faculty Authorship
author_sort Qiu, J.
dc_date_str 2007
dc_title_str Robust mixed H2/H1 filtering design for discrete-time switched polytopic linear systems.
description The authors deal with mode and parameter-dependent robust mixed H2/H1 filtering design for a class of discrete-time switched polytopic linear systems. The objective is to design a homogeneous switched mixed H2/ H1 filter guaranteeing the asymptotic stability of the resulting filtering error systems with given performance measures. Based on a switched parameter-dependent Lyapunov function combined with Finsler's lemma, some novel conditions for robust H2 and H1 performance analysis are proposed and in turn the filter synthesis is developed. It is shown that by using a new linearisation technique combined with a bounding approach, the filter gains can be obtained by solving a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness and less conservatism of the proposed approach.
title Robust mixed H2/H1 filtering design for discrete-time switched polytopic linear systems.
title_full Robust mixed H2/H1 filtering design for discrete-time switched polytopic linear systems.
title_fullStr Robust mixed H2/H1 filtering design for discrete-time switched polytopic linear systems.
title_full_unstemmed Robust mixed H2/H1 filtering design for discrete-time switched polytopic linear systems.
title_short Robust mixed H2/H1 filtering design for discrete-time switched polytopic linear systems.
title_sort robust mixed h2/h1 filtering design for discrete-time switched polytopic linear systems.
publishDate 2007
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language English
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