Robust estimation for discrete Markov system with time-varying delay and missing measurements
type: Item
instance of: scholarly article
title: Robust estimation for discrete Markov system with time-varying delay and missing measurements
zbMATH Open document ID: 1296.93196
DOI: 10.1155/2013/321935
author: Jia You
author: Shen Yin
author: Hamid Reza Karimi
published in: Mathematical Problems in Engineering
publication date: 2014-10-13T00:00:00Z
review text: Summary: This paper addresses the \(H_{\infty}\) filtering problem for time-delayed Markov jump systems (MJSs) with intermittent measurements. Within network environment, missing measurements are taken into account, since the communication channel is supposed to be imperfect. A Bernoulli process is utilized to describe the phenomenon of the missing measurements. The original system is transformed into an input-output form consisting of two interconnected subsystems. Based on scaled small gain (SSG) theorem and proposed Lyapunov-Krasovskii functional (LKF), the scaled small gains of the subsystems are analyzed, respectively. New conditions for the existence of the \(H_{\infty}\) filters are established, and the corresponding \(H_{\infty}\) filter design scheme is proposed. Finally, a simulation example is provided to demonstrate the effectiveness of the proposed approach.
Mathematics Subject Classification ID: 93E11
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 6354229
Wikidata QID: Q59023624
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/321935
OpenAlex ID: W1986727711
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description: scientific article; zbMATH DE number 6354229