Mixed \(H_2/H_\infty\) performance analysis and state-feedback control design for networked systems with fading communication channels
type: Item
instance of: scholarly article
title: Mixed \(H_2/H_\infty\) performance analysis and state-feedback control design for networked systems with fading communication channels
zbMATH Open document ID: 1264.93056
DOI: 10.1155/2012/291714
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: We provide a performance analysis approach of networked systems with fading communication channels. For a Ricean model of the fading communication channel, it is shown that the resulting system has a hybrid structure including the continuous-time dynamics of the networked systems and a discrete-time dynamics of the communication channels. Moreover, this resulting hybrid system has both multiplicative and additive noise terms. The performance analysis naturally leads to an \(H_2/H_\infty\)-type norm evaluation for systems with finite jumps and multiplicative noise. It is proved that this norm depends on the stabilizing solution of a specific system of coupled Riccati's equations with jumps. A state-feedback design problem to accomplish a mixed \(H_2/H_\infty\) performance is also considered. A numerical iterative procedure allowing to compute the stabilizing solution of the Riccati-type system with jumps is presented. The theoretical results are illustrated by numerical results concerning the tracking performances of a flight formation with fading communication channel. The paper ends with some concluding remarks.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 60G35
zbMATH DE Number: 6173161
Wikidata QID: Q58911390
author: Adrian-Mihail Stoica
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/291714
OpenAlex ID: W1992135578
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description: scientific article; zbMATH DE number 6173161