Nonfragile robust \(H_{\infty}\) filter design for a class of fuzzy stochastic systems with stochastic input-to-state stability
type: Item
instance of: scholarly article
title: Nonfragile robust \(H_{\infty}\) filter design for a class of fuzzy stochastic systems with stochastic input-to-state stability
zbMATH Open document ID: 1394.93328
DOI: 10.1155/2015/896574
author: Ze Li
author: Feng Gu
author: Yuqing He
author: Wanjun Hao
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The nonfragile \(H_{\infty}\) filtering problem for a kind of Takagi-Sugeno (T-S) fuzzy stochastic system which has a time-varying delay and parameter uncertainties has been studied in this paper. Sufficient conditions for stochastic input-to-state stability (SISS) of the fuzzy stochastic systems are obtained. Attention is focused on the design of a nonfragile \(H_{\infty}\) filter such that the filtering error system can tolerate some level of the gain variations in the filter and the \(H_{\infty}\) performance level also could be satisfied. By using the SISS result, the approach to design the nonfragile filter is proposed in terms of linear matrix inequalities. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93E11
zbMATH DE Number: 6927492
Wikidata QID: Q59120193
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/896574
OpenAlex ID: W2083744724
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description: scientific article; zbMATH DE number 6927492