Network-based \(H_\infty\) filter design for linear system with random delays
type: Item
instance of: scholarly article
title: Network-based \(H_\infty\) filter design for linear system with random delays
zbMATH Open document ID: 1296.93195
DOI: 10.1155/2013/340890
author: Ruixia Yan
author: Jinliang Liu
author: Zhong Wu
published in: Mathematical Problems in Engineering
publication date: 2014-10-13T00:00:00Z
review text: Summary: This paper investigates the filtering problem for a class of network-based systems with random network-induced delays. The considered random delay between the sensor and the filter is assumed to be satisfying a certain stochastic characteristic. Considering the probability of the delay taking value in different intervals, a stochastic variable satisfying Bernoulli random binary distribution is introduced and a new system model is established by employing the information of the probability distribution. By using a properly constructed Lyapunov function, sufficient conditions for the existence of the \(H_\infty\) filters are presented in terms of linear matrix inequalities, which are dependent on the occurrence probability of both the random communication delays. The filter parameter is then characterized by the solution to a set of LMIs. A simulation example is employed to show the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 6354667
Wikidata QID: Q59023761
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/340890
OpenAlex ID: W1978336522
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description: scientific article; zbMATH DE number 6354667