Robust \(H_\infty\) filtering for uncertain discrete-time fuzzy stochastic systems with sensor nonlinearities and time-varying delay
type: Item
instance of: scholarly article
title: Robust \(H_\infty\) filtering for uncertain discrete-time fuzzy stochastic systems with sensor nonlinearities and time-varying delay
zbMATH Open document ID: 1263.93132
DOI: 10.1155/2012/402480
author: Mingang Hua
author: Pei Cheng
author: Juntao Fei
author: Jianyong Zhang
author: Junfeng Chen
published in: Journal of Applied Mathematics
publication date: 2013-06-03T00:00:00Z
review text: Summary: The robust filtering problem for a class of uncertain discrete-time fuzzy stochastic systems with sensor nonlinearities and time-varying delay is investigated. The parameter uncertainties are assumed to be time varying norm bounded in both the state and measurement equations. By using the Lyapunov stability theory and some new relaxed techniques, sufficient conditions are proposed to guarantee the robustly stochastic stability with a prescribed \(H_\infty\) performance level of the filtering error system for all admissible uncertainties, sensor nonlinearities, and time-varying delays. These conditions are dependent on the lower and upper bounds of the time-varying delays and are obtained in terms of a Linear Matrix Inequality (LMI). Finally, two simulation examples are provided to illustrate the effectiveness of the proposed methods.
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 6169902
Wikidata QID: Q58906842
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/402480
OpenAlex ID: W2012331118
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DBLP publication ID: journals/jam/HuaCFZC12
description: scientific article; zbMATH DE number 6169902