Decentralized \(H_{\infty}\) control for large-scale systems with uncertain missing measurements probabilities
type: Item
instance of: scholarly article
title: Decentralized \(H_{\infty}\) control for large-scale systems with uncertain missing measurements probabilities
zbMATH Open document ID: 1394.93309
DOI: 10.1155/2015/379390
author: Ying Zhou
author: Qiang Zang
author: Chunxia Fan
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: For large-scale systems which are modeled as interconnection of \(N\) networked control systems with uncertain missing measurements probabilities, a decentralized state feedback \(H_{\infty}\) controller design is considered in this paper. The occurrence of missing measurements is assumed to be a Bernoulli random binary switching sequence with an unknown conditional probability distribution in an interval. A state feedback \(H_{\infty}\) controller is designed in terms of linear matrix inequalities to make closed-loop system exponentially mean square stable and a prescribed \(H_{\infty}\) performance is guaranteed. Sufficient conditions are derived for the existence of such controller. A numerical example is also provided to demonstrate the validity of the proposed design approach.
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 6926206
Wikidata QID: Q59118234
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/379390
OpenAlex ID: W1887856714
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description: scientific article; zbMATH DE number 6926206