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 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.

Main Author: Qiu, J.
Other Authors: 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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dc_source_str_mv IET Control Theory and Applications 2(5), 2008, 420-430 .
author Qiu, J.
author_facet_str_mv Qiu, J.
Feng, G.
Yang, J.
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Feng, G.
Yang, J.
author_s Qiu, J.
spellingShingle Qiu, J.
Robust mixed H2/H1 filtering design for discrete-time switched polytopic linear systems.
author-letter Qiu, J.
author_sort_str Qiu, J.
author2 Feng, G.
Yang, J.
author2Str Feng, G.
Yang, J.
dc_title_str Robust mixed H2/H1 filtering design for discrete-time switched polytopic linear systems.
title 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_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.
collection_title_sort_str 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.
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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.
publishDate 2007
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fgs.label Robust mixed H2/H1 filtering design for discrete-time switched polytopic linear systems.
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dc.title Robust mixed H2/H1 filtering design for discrete-time switched polytopic linear systems.
dc.creator Qiu, J.
Feng, G.
Yang, J.
dc.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.
dc.date 2007
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dc.source IET Control Theory and Applications 2(5), 2008, 420-430 .
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