\(H_{\infty}\) filtering for discrete Markov jump singular systems with mode-dependent time delay based on T-S fuzzy model
type: Item
instance of: scholarly article
title: \(H_{\infty}\) filtering for discrete Markov jump singular systems with mode-dependent time delay based on T-S fuzzy model
zbMATH Open document ID: 1407.93385
DOI: 10.1155/2014/618046
author: Cheng Gong
author: Yi Zeng
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper investigates the \(H_{\infty}\) filtering problem of discrete singular Markov jump systems (SMJSs) with mode-dependent time delay based on T-S fuzzy model. First, by Lyapunov-Krasovskii functional approach, a delay-dependent sufficient condition on \(H_{\infty}\)-disturbance attenuation is presented, in which both stability and prescribed \(H_{\infty}\) performance are required to be achieved for the filtering-error systems. Then, based on the condition, the delay-dependent \(H_{\infty}\) filter design scheme for SMJSs with mode-dependent time delay based on T-S fuzzy model is developed in term of linear matrix inequality (LMI). Finally, an example is given to illustrate the effectiveness of the result.
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 60J75
zbMATH DE Number: 7016872
Wikidata QID: Q59066606
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/618046
OpenAlex ID: W2037746503
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description: scientific article; zbMATH DE number 7016872