Asynchronous \(H_{\infty}\) dynamic output feedback control of switched time-delay systems with sensor nonlinearity and missing measurements
type: Item
instance of: scholarly article
title: Asynchronous \(H_{\infty}\) dynamic output feedback control of switched time-delay systems with sensor nonlinearity and missing measurements
zbMATH Open document ID: 1407.93122
DOI: 10.1155/2014/103626
author: Li Peng
author: Jiwei Wen
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The \(H_{\infty}\) dynamic output feedback control problem for a class of discrete-time switched time-delay systems under asynchronous switching is investigated in this paper. Sensor nonlinearity and missing measurements are considered when collecting output knowledge of the system. Firstly, when there exists asynchronous switching between the switching modes and the candidate controllers, new results on the regional stability and \(l_2\) gain analysis for the underlying system are given by allowing the Lyapunov-like function (LLF) to increase with a random probability. Then, a mean square stabilizing output feedback controller and a switching law subject to average dwell time (ADT) are obtained with a given disturbance attenuation level. Moreover, the mean square domain of attraction could be estimated by a convex combination of a set of ellipsoids, the number of which depends on the number of switching modes. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 7015709
Wikidata QID: Q59062841
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/103626
OpenAlex ID: W2016622411
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description: scientific article; zbMATH DE number 7015709