Robust performance with fixed and worst-case signals for uncertain time-varying systems
type: Item
instance of: scholarly article
title: Robust performance with fixed and worst-case signals for uncertain time-varying systems
zbMATH Open document ID: 0903.93008
DOI: 10.1016/S0005-1098(97)00136-2
published in: Automatica
publication date: 1998-06-08T00:00:00Z
review text: The authors consider the problem of robust performance in the \(l^\infty\) sense for dynamic uncertain systems with time-varying uncertainties and unknown but bounded disturbances. The worst-case \(l^\infty\) norm bounds of the output due to a step input and with zero initial conditions are presented. The method of estimation is based on the construction of a suitable polyhedral region. Moreover, necessary and sufficient conditions for the existence of overshoot are given. The bounds are non-conservative and may be easily computed in finite number of steps. The method is illustrated by a second-order example. The main issue of the proposed procedures is to find the maximal invariant region in a given convex set.
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 93C73
Mathematics Subject Classification ID: 93C99
zbMATH DE Number: 1161174
zbMATH Keywords: robust performance
zbMATH Keywords: time-varying uncertainties
zbMATH Keywords: worst-case \(l^\infty\) norm bounds
zbMATH Keywords: step input
zbMATH Keywords: polyhedral region
zbMATH Keywords: overshoot
zbMATH Keywords: maximal invariant region in a given convex set
author: Franco Blanchini
author: Stefano Miani
author: Mario Sznaier
reviewed by: Andrzej Świerniak
MaRDI profile type: Publication
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full work available at URL: s0005-1098(97)00136-2
OpenAlex ID: W2115931752
description: scientific article; zbMATH DE number 1161174