Characterization of the solution to the optimal H∞ model reduction problem

Davut Kavranoǧlu; Maamar Bettayeb

doi:10.1016/0167-6911(93)90021-W

Characterization of the solution to the optimal H_∞ model reduction problem

Davut Kavranoǧlu^*, Maamar Bettayeb

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

74 Scopus citations

Abstract

In this paper the H_∞ norm approximation of a given stable, proper, rational transfer function by a lower order stable proper rational transfer function is studied. The solution method is based on the authors observation that the H_∞ model reduction problem can be converted into a Hankel norm model reduction problem. A simple characterization of the solution to the optimal H_∞ model reduction problem is developed.

Original language	English
Pages (from-to)	99-107
Number of pages	9
Journal	Systems and Control Letters
Volume	20
Issue number	2
DOIs	https://doi.org/10.1016/0167-6911(93)90021-W
State	Published - Feb 1993

Keywords

H norm model reduction
Hankel singular values
allpass imbedding

ASJC Scopus subject areas

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

Access to Document

10.1016/0167-6911(93)90021-W

Cite this

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title = "Characterization of the solution to the optimal H∞ model reduction problem",

abstract = "In this paper the H∞ norm approximation of a given stable, proper, rational transfer function by a lower order stable proper rational transfer function is studied. The solution method is based on the authors observation that the H∞ model reduction problem can be converted into a Hankel norm model reduction problem. A simple characterization of the solution to the optimal H∞ model reduction problem is developed.",

keywords = "H norm model reduction, Hankel singular values, allpass imbedding",

author = "Davut Kavranoǧlu and Maamar Bettayeb",

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AU - Bettayeb, Maamar

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N2 - In this paper the H∞ norm approximation of a given stable, proper, rational transfer function by a lower order stable proper rational transfer function is studied. The solution method is based on the authors observation that the H∞ model reduction problem can be converted into a Hankel norm model reduction problem. A simple characterization of the solution to the optimal H∞ model reduction problem is developed.

AB - In this paper the H∞ norm approximation of a given stable, proper, rational transfer function by a lower order stable proper rational transfer function is studied. The solution method is based on the authors observation that the H∞ model reduction problem can be converted into a Hankel norm model reduction problem. A simple characterization of the solution to the optimal H∞ model reduction problem is developed.

KW - H norm model reduction

KW - Hankel singular values

KW - allpass imbedding

UR - https://www.scopus.com/pages/publications/0027544767

U2 - 10.1016/0167-6911(93)90021-W

DO - 10.1016/0167-6911(93)90021-W

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