Reliable \(l_2\)-\(l_{\infty}\) and \(H_{\infty}\) control for nonlinear singular systems via dynamic output feedback
type: Item
instance of: scholarly article
title: Reliable \(l_2\)-\(l_{\infty}\) and \(H_{\infty}\) control for nonlinear singular systems via dynamic output feedback
zbMATH Open document ID: 1406.93105
DOI: 10.1155/2014/670543
author: Lin Li
author: Yuting Kang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The reliable \(l_2\)-\(l_{\infty}\) and \(H_{\infty}\) control for a class of Lipschitz nonlinear discrete-time singular systems with time delay is investigated via dynamic feedback control. The main goal of this paper is to design a generalized nonlinear controller such that, for possible actuator failures, the closed-loop system is regular, casual, and stable with a given \(l_2\)-\(l_{\infty}\) and \(H_{\infty}\) disturbance attenuation level being satisfied. Some sufficient conditions are obtained in terms of linear matrix inequalities (LMIs), and the controller design method is also proposed. Finally, a numerical example is included to illustrate the effectiveness of our proposed results.
Mathematics Subject Classification ID: 93B36
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C55
zbMATH DE Number: 7022846
zbMATH Keywords: \(l_2\)-\(l_{\infty}\) and \(H_{\infty}\) control
zbMATH Keywords: nonlinear discrete-time systems
zbMATH Keywords: dynamic output feedback
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/670543
OpenAlex ID: W2014588722
Wikidata QID: Q59040446
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description: scientific article; zbMATH DE number 7022846