Optimal L∞ approximation of lti systems

Davut Kavranoglu; Maamar Bettayeb

doi:10.23919/acc.1993.4793260

Optimal L_∞ approximation of lti systems

Davut Kavranoglu^*, Maamar Bettayeb

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

In this paper the L_∞ norm approximation of a given stable, proper, rational transfer function by another lower order rational function with prescribed number of stable and unstable modes is studied. The approach is based on author's results on imbedding of the Hankel singular values and new results on allpass systems.

Original language	English
Title of host publication	American Control Conference
Publisher	Publ by IEEE
Pages	2137-2141
Number of pages	5
ISBN (Print)	0780308611, 9780780308619
DOIs	https://doi.org/10.23919/acc.1993.4793260
State	Published - 1993

Publication series

Name	American Control Conference

ASJC Scopus subject areas

Electrical and Electronic Engineering

Access to Document

10.23919/acc.1993.4793260

Cite this

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title = "Optimal L∞ approximation of lti systems",

abstract = "In this paper the L∞ norm approximation of a given stable, proper, rational transfer function by another lower order rational function with prescribed number of stable and unstable modes is studied. The approach is based on author's results on imbedding of the Hankel singular values and new results on allpass systems.",

author = "Davut Kavranoglu and Maamar Bettayeb",

year = "1993",

doi = "10.23919/acc.1993.4793260",

language = "English",

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series = "American Control Conference",

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pages = "2137--2141",

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AU - Bettayeb, Maamar

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AB - In this paper the L∞ norm approximation of a given stable, proper, rational transfer function by another lower order rational function with prescribed number of stable and unstable modes is studied. The approach is based on author's results on imbedding of the Hankel singular values and new results on allpass systems.

UR - https://www.scopus.com/pages/publications/0027805342

U2 - 10.23919/acc.1993.4793260

DO - 10.23919/acc.1993.4793260

M3 - Conference contribution

AN - SCOPUS:0027805342

SN - 0780308611

SN - 9780780308619

T3 - American Control Conference

SP - 2137

EP - 2141

BT - American Control Conference

PB - Publ by IEEE

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