Passivity analysis and synthesis for uncertain time-delay systems
type: Item
instance of: scholarly article
title: Passivity analysis and synthesis for uncertain time-delay systems
zbMATH Open document ID: 1014.93038
DOI: 10.1155/S1024123X01001739
author: Magdi S. Mahmoud
author: Lihua Xie
published in: Mathematical Problems in Engineering
publication date: 2002-11-27T00:00:00Z
full work available at URL: https://eudml.org/doc/50109
review text: The notions of asymptotic and strong stability are generalized to include passivity for a linearized water pollution model of the form \[ \begin{aligned} \dot x(t) & = (A_0+\Delta A) x(t)+ B_0w(t)+ E_0x(t-\tau)+ G_0 u(t),\\ z(t) &= (C_0+\Delta C) x(t)+ D_0w(t).\end{aligned} \] Conditions for the robust stability with passivity are first given in terms of standard LMI's. Using the \(\mu\)-parameterization technique, the system is expanded to one which does not contain uncertain parameters, which means that the results are technically easier to obtain. Finally, the theory is applied to obtain a stabilizing control by an observer-based control synthesis.
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93C23
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93B51
zbMATH DE Number: 1836256
zbMATH Keywords: delay
zbMATH Keywords: robust stabilization
zbMATH Keywords: strong stability
zbMATH Keywords: passivity
zbMATH Keywords: water pollution model
zbMATH Keywords: robust stability
zbMATH Keywords: \(\mu\)-parameterization technique
reviewed by: S. P. Banks
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1836256