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Author Buskes, G. ♦ Cantoni, M.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©2007
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Transfer functions ♦ Approximation error ♦ Feedback ♦ Hydrogen ♦ Frequency domain analysis ♦ Open loop systems ♦ USA Councils ♦ Context modeling ♦ Linear matrix inequalities ♦ Sufficient conditions
Abstract Most model order reduction techniques involve measures of approximation error that reflect differences in open-loop behaviour. Within the context of feedback compensator design, however, it is arguably more important to measure approximation error in terms of the difference in behaviour when in closed-loop. The gap metric and its variants are known to capture the difference between open-loop systems in terms of closed-loop behaviour. In this paper, we consider an order reduction problem in which the approximation error is quantified using the nu-gap metric. In particular, a characterisation of when a fixed-order model lies within a specified nu-gap distance of a nominal full-order model is obtained in terms of the feasibility of two LMIs and a rank constraint. A numerical example is presented to illustrate an application of the main ideas.
Description Author affiliation: Melbourne Univ., Melbourne (Buskes, G.; Cantoni, M.)
ISBN 9781424414970
ISSN 01912216
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 2007-12-12
Publisher Place USA
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 216.90 kB
Page Count 6
Starting Page 4367
Ending Page 4372

Source: IEEE Xplore Digital Library