A LMI Approach to H-infinity Optimal Stablization of Impulsive Dynamical Systems in Uncertain conditions

In this paper, we consider the H-infinity optimal control problem for a class of impulsivedynamical systems with time-varying uncertainty. Based on the linear matrix inequalityapproach, we derive the sufficient conditions to ensure both internal asymptotical stability andH-infinity optimal performan...

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Main Authors: Xu, Honglei, Teo, Kok
Other Authors: M. Fukushima
Format: Conference Paper
Published: Universal Academy Press 2007
Online Access:http://hdl.handle.net/20.500.11937/23839
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author Xu, Honglei
Teo, Kok
author2 M. Fukushima
author_facet M. Fukushima
Xu, Honglei
Teo, Kok
author_sort Xu, Honglei
building Curtin Institutional Repository
collection Online Access
description In this paper, we consider the H-infinity optimal control problem for a class of impulsivedynamical systems with time-varying uncertainty. Based on the linear matrix inequalityapproach, we derive the sufficient conditions to ensure both internal asymptotical stability andH-infinity optimal performance of the impulsive closed-loop system and present acorresponding linear time-invariant stabilizing control law. Finally, a numerical example isgiven to illustrate the effectiveness of the feedback control law.
first_indexed 2025-11-14T07:49:56Z
format Conference Paper
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T07:49:56Z
publishDate 2007
publisher Universal Academy Press
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-238392017-01-30T12:39:25Z A LMI Approach to H-infinity Optimal Stablization of Impulsive Dynamical Systems in Uncertain conditions Xu, Honglei Teo, Kok M. Fukushima In this paper, we consider the H-infinity optimal control problem for a class of impulsivedynamical systems with time-varying uncertainty. Based on the linear matrix inequalityapproach, we derive the sufficient conditions to ensure both internal asymptotical stability andH-infinity optimal performance of the impulsive closed-loop system and present acorresponding linear time-invariant stabilizing control law. Finally, a numerical example isgiven to illustrate the effectiveness of the feedback control law. 2007 Conference Paper http://hdl.handle.net/20.500.11937/23839 Universal Academy Press restricted
spellingShingle Xu, Honglei
Teo, Kok
A LMI Approach to H-infinity Optimal Stablization of Impulsive Dynamical Systems in Uncertain conditions
title A LMI Approach to H-infinity Optimal Stablization of Impulsive Dynamical Systems in Uncertain conditions
title_full A LMI Approach to H-infinity Optimal Stablization of Impulsive Dynamical Systems in Uncertain conditions
title_fullStr A LMI Approach to H-infinity Optimal Stablization of Impulsive Dynamical Systems in Uncertain conditions
title_full_unstemmed A LMI Approach to H-infinity Optimal Stablization of Impulsive Dynamical Systems in Uncertain conditions
title_short A LMI Approach to H-infinity Optimal Stablization of Impulsive Dynamical Systems in Uncertain conditions
title_sort lmi approach to h-infinity optimal stablization of impulsive dynamical systems in uncertain conditions
url http://hdl.handle.net/20.500.11937/23839