Robust reliable stabilization of switched nonlinear systems with time-varying delays and delayed switching
type: Item
instance of: scholarly article
title: Robust reliable stabilization of switched nonlinear systems with time-varying delays and delayed switching
zbMATH Open document ID: 1205.93137
DOI: 10.1155/2010/471680
author: Zhengrong Xiang
author: Qingwei Chen
published in: Mathematical Problems in Engineering
publication date: 2010-09-30T00:00:00Z
full work available at URL: https://eudml.org/doc/226266
review text: Summary: This paper is concerned with the problem of robust reliable stabilization of switched nonlinear systems with time-varying delays and delayed switching is investigated. The parameter uncertainties are allowed to be norm-bounded. The switching instants of the controller experience delays with respect to those of the system. The purpose of this problem is to design a reliable state feedback controller such that, for all admissible parameter uncertainties and actuator failure, the system state of the closed-loop system is exponentially stable. We show that the addressed problem can be solved by means of algebraic matrix inequalities. The explicit expression of the desired robust controllers is derived in terms of linear matrix inequalities.
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93B52
zbMATH DE Number: 5793751
zbMATH Keywords: robust reliable stabilization
zbMATH Keywords: switched nonlinear systems with time-varying delays
zbMATH Keywords: state feedback controller
zbMATH Keywords: parameter uncertainties
zbMATH Keywords: algebraic matrix inequalities
MaRDI profile type: Publication
OpenAlex ID: W2042685004
Wikidata QID: Q58653107
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description: scientific article; zbMATH DE number 5793751