Robust and Nonfragile H∞ Kalman-Type Filter Design for Parameter-Uncertain Time-Delay Systems: PLMI Approach

Robust and Nonfragile H∞ Kalman-Type Filter Design for Parameter-Uncertain Time-Delay Systems: PLMI Approach

This paper describes the synthesis of a robust and nonfragile H∞ Kalman-type filter design for a class of time-delay systems with polytopic uncertainties, filter-gain variations, and disturbances. We present the sufficient condition for filter existence and the method for designing a robust nonfragi...

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Main Authors: Seung Hyeop Yang, Hong Bae Park
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/975968
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spelling doaj-25f16011e9cf4505a56ac77b2cf9e6bc2020-11-24T23:58:37ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/975968975968Robust and Nonfragile H∞ Kalman-Type Filter Design for Parameter-Uncertain Time-Delay Systems: PLMI ApproachSeung Hyeop Yang0Hong Bae Park1School of Electronics Engineering, Kyungpook National University, 80 Daehak-ro, Buk-gu, Daegu 702-701, Republic of KoreaSchool of Electronics Engineering, Kyungpook National University, 80 Daehak-ro, Buk-gu, Daegu 702-701, Republic of KoreaThis paper describes the synthesis of a robust and nonfragile H∞ Kalman-type filter design for a class of time-delay systems with polytopic uncertainties, filter-gain variations, and disturbances. We present the sufficient condition for filter existence and the method for designing a robust nonfragile H∞ filter by using LMIs (Linear Matrix Inequalities) technique. Because the obtained sufficient condition can be represented as PLMIs (Parameterized Linear Matrix Inequalities), which can generate infinite LMIs, we use a relaxation technique to find finite solutions for a robust nonfragile H∞ filter. We show that the proposed filter can minimize estimation error in terms of parameter uncertainties, filter-fragility, and disturbances.http://dx.doi.org/10.1155/2013/975968
collection DOAJ
language English
format Article
sources DOAJ
author Seung Hyeop Yang
Hong Bae Park
spellingShingle Seung Hyeop Yang
Hong Bae Park
Robust and Nonfragile H∞ Kalman-Type Filter Design for Parameter-Uncertain Time-Delay Systems: PLMI Approach
Mathematical Problems in Engineering
author_facet Seung Hyeop Yang
Hong Bae Park
author_sort Seung Hyeop Yang
title Robust and Nonfragile H∞ Kalman-Type Filter Design for Parameter-Uncertain Time-Delay Systems: PLMI Approach
title_short Robust and Nonfragile H∞ Kalman-Type Filter Design for Parameter-Uncertain Time-Delay Systems: PLMI Approach
title_full Robust and Nonfragile H∞ Kalman-Type Filter Design for Parameter-Uncertain Time-Delay Systems: PLMI Approach
title_fullStr Robust and Nonfragile H∞ Kalman-Type Filter Design for Parameter-Uncertain Time-Delay Systems: PLMI Approach
title_full_unstemmed Robust and Nonfragile H∞ Kalman-Type Filter Design for Parameter-Uncertain Time-Delay Systems: PLMI Approach
title_sort robust and nonfragile h∞ kalman-type filter design for parameter-uncertain time-delay systems: plmi approach
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description This paper describes the synthesis of a robust and nonfragile H∞ Kalman-type filter design for a class of time-delay systems with polytopic uncertainties, filter-gain variations, and disturbances. We present the sufficient condition for filter existence and the method for designing a robust nonfragile H∞ filter by using LMIs (Linear Matrix Inequalities) technique. Because the obtained sufficient condition can be represented as PLMIs (Parameterized Linear Matrix Inequalities), which can generate infinite LMIs, we use a relaxation technique to find finite solutions for a robust nonfragile H∞ filter. We show that the proposed filter can minimize estimation error in terms of parameter uncertainties, filter-fragility, and disturbances.
url http://dx.doi.org/10.1155/2013/975968
work_keys_str_mv AT seunghyeopyang robustandnonfragilehkalmantypefilterdesignforparameteruncertaintimedelaysystemsplmiapproach
AT hongbaepark robustandnonfragilehkalmantypefilterdesignforparameteruncertaintimedelaysystemsplmiapproach
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