A convex parametrization of risk-adjusted stabilizing controllers.
type: Item
instance of: scholarly article
title: A convex parametrization of risk-adjusted stabilizing controllers.
zbMATH Open document ID: 1052.93065
DOI: 10.1016/S0005-1098(03)00183-3
author: Constantino M. Lagoa
published in: Automatica
publication date: 2003-11-17T00:00:00Z
review text: The standard stability criterion, based on the transfer functions of a linear, time-invariant system, hence, the zero exclusion property, has to be fulfilled for every frequency and for all model parameters \(q\) in a given domain. Under the assumption that the vector \(q\) of model parameters has a given probability distribution, the following substitute problem for a robust controller design is considered: Instead of the standard stability condition in the frequency domain, it is required here that the zero exclusion property occurs at each frequency only with a prescribed small probability. This concept is studied then for special types of probability distributions of the random vector \(q\) of model parameters.
Mathematics Subject Classification ID: 93E25
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 93C80
zbMATH DE Number: 2005470
zbMATH Keywords: risk-adjusted control
zbMATH Keywords: convex parametrization
zbMATH Keywords: probabilistic robustness
zbMATH Keywords: stability
zbMATH Keywords: zero exclusion property
reviewed by: Kurt Marti
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2005470