Characterization and Computation of the Solution to the Optimal L∞ Approximation Problem

Davut Kavranoğlu; Maamar Bettayeb

doi:10.1109/9.317120

Characterization and Computation of the Solution to the Optimal L_∞ Approximation Problem

Davut Kavranoğlu
, Maamar Bettayeb

King Fahd University of Petroleum & Minerals

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

8 Scopus citations

Abstract

The characterization of the solution to the problem of approximating a given stable, proper, rational transfer function, in L_∞ norm sense, by a rational function with prescribed number of stable and unstable modes is developed. A simple state-space suboptimal computational algorithm for the solution is presented.

Original language	English
Pages (from-to)	1899-1904
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	39
Issue number	9
DOIs	https://doi.org/10.1109/9.317120
State	Published - Sep 1994

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Access to Document

10.1109/9.317120

Cite this

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title = "Characterization and Computation of the Solution to the Optimal L∞ Approximation Problem",

abstract = "The characterization of the solution to the problem of approximating a given stable, proper, rational transfer function, in L∞ norm sense, by a rational function with prescribed number of stable and unstable modes is developed. A simple state-space suboptimal computational algorithm for the solution is presented.",

author = "Davut Kavranoğlu and Maamar Bettayeb",

year = "1994",

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AB - The characterization of the solution to the problem of approximating a given stable, proper, rational transfer function, in L∞ norm sense, by a rational function with prescribed number of stable and unstable modes is developed. A simple state-space suboptimal computational algorithm for the solution is presented.

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DO - 10.1109/9.317120

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