Chebycheff approximation in system identification and model reduction

A. Coutlis; D. J.N. Limebeer

doi:10.1016/S0005-1098(97)82234-0

Chebycheff approximation in system identification and model reduction

A. Coutlis, D. J.N. Limebeer

Imperial College London

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

1 Citation (Scopus)

Abstract

The aim of this paper is to show how Chebycheff approximation may be used in frequency weighted ℋ^∞ system identification and model reduction. We show how these techniques may be combined with known results from Hankel norm model reduction theory to reduce the error between the plant and the low-order approximation. In identification we also apply an ℒ^∞-norm variant of Levy's method (Levy, 1959).

Original language	English
Pages (from-to)	1677-1682
Number of pages	6
Journal	Automatica
Volume	33
Issue number	9
DOIs	https://doi.org/10.1016/S0005-1098(97)82234-0
Publication status	Published - Sept 1997
Externally published	Yes

Keywords

Chebycheff approximation
MIMO systems
System Identification

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

Access to Document

10.1016/S0005-1098(97)82234-0

Cite this

@article{43fec9ff516d41c892ea9daaff6102fa,

title = "Chebycheff approximation in system identification and model reduction",

abstract = "The aim of this paper is to show how Chebycheff approximation may be used in frequency weighted ℋ∞ system identification and model reduction. We show how these techniques may be combined with known results from Hankel norm model reduction theory to reduce the error between the plant and the low-order approximation. In identification we also apply an ℒ∞-norm variant of Levy's method (Levy, 1959).",

keywords = "Chebycheff approximation, MIMO systems, System Identification",

author = "A. Coutlis and Limebeer, {D. J.N.}",

year = "1997",

month = sep,

doi = "10.1016/S0005-1098(97)82234-0",

language = "English",

volume = "33",

pages = "1677--1682",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier Ltd.",

number = "9",

}

TY - JOUR

T1 - Chebycheff approximation in system identification and model reduction

AU - Coutlis, A.

AU - Limebeer, D. J.N.

PY - 1997/9

Y1 - 1997/9

N2 - The aim of this paper is to show how Chebycheff approximation may be used in frequency weighted ℋ∞ system identification and model reduction. We show how these techniques may be combined with known results from Hankel norm model reduction theory to reduce the error between the plant and the low-order approximation. In identification we also apply an ℒ∞-norm variant of Levy's method (Levy, 1959).

AB - The aim of this paper is to show how Chebycheff approximation may be used in frequency weighted ℋ∞ system identification and model reduction. We show how these techniques may be combined with known results from Hankel norm model reduction theory to reduce the error between the plant and the low-order approximation. In identification we also apply an ℒ∞-norm variant of Levy's method (Levy, 1959).

KW - Chebycheff approximation

KW - MIMO systems

KW - System Identification

UR - http://www.scopus.com/inward/record.url?scp=0031224111&partnerID=8YFLogxK

U2 - 10.1016/S0005-1098(97)82234-0

DO - 10.1016/S0005-1098(97)82234-0

M3 - Article

AN - SCOPUS:0031224111

SN - 0005-1098

VL - 33

SP - 1677

EP - 1682

JO - Automatica

JF - Automatica

IS - 9

ER -

Chebycheff approximation in system identification and model reduction

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this