Identification of nonlinear plants using left coprime fractional based representations

N Linard; Brian Anderson

doi:10.23919/ecc.1997.7082190

Identification of nonlinear plants using left coprime fractional based representations

N Linard, Brian Anderson

School of Engineering

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

2 Citations (Scopus)

Abstract

It has been shown that the set of all nonlinear plants that can be stabilized by a known linear controller which also stabilizes a linear nominal model of the plant can be parametrized by a stable operator known as the Youla-Kucera parameter. This paper extends previous work by allowing the model of the nominal plant in the above scenario to be nonlinear, and hence explores the possibilities of converting the closed loop plant identification problem to one of open loop identification. The ideas rely on a concept of differential coprimeness for nonlinear fractional system descriptions.

Original language	English
Title of host publication	ECC 1997 - European Control Conference
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	772-777
ISBN (Electronic)	9783952426906
ISBN (Print)	978-3-9524269-0-6
DOIs	https://doi.org/10.23919/ecc.1997.7082190
Publication status	Published - 1997
Event	4th European Control Conference, ECC 1997 - Brussels, Belgium Duration: 1 Jul 1997 → 4 Jul 1997

Conference

Conference	4th European Control Conference, ECC 1997
Country/Territory	Belgium
City	Brussels
Period	1/07/97 → 4/07/97

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10.23919/ecc.1997.7082190

Cite this

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title = "Identification of nonlinear plants using left coprime fractional based representations",

abstract = "It has been shown that the set of all nonlinear plants that can be stabilized by a known linear controller which also stabilizes a linear nominal model of the plant can be parametrized by a stable operator known as the Youla-Kucera parameter. This paper extends previous work by allowing the model of the nominal plant in the above scenario to be nonlinear, and hence explores the possibilities of converting the closed loop plant identification problem to one of open loop identification. The ideas rely on a concept of differential coprimeness for nonlinear fractional system descriptions.",

keywords = "Modelling, Nonlinear control, Nonlinear identification",

author = "N Linard and Brian Anderson",

year = "1997",

doi = "10.23919/ecc.1997.7082190",

language = "English",

isbn = "978-3-9524269-0-6",

pages = "772--777",

booktitle = "ECC 1997 - European Control Conference",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

address = "United States",

note = "4th European Control Conference, ECC 1997 ; Conference date: 01-07-1997 Through 04-07-1997",

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T1 - Identification of nonlinear plants using left coprime fractional based representations

AU - Linard, N

AU - Anderson, Brian

PY - 1997

Y1 - 1997

N2 - It has been shown that the set of all nonlinear plants that can be stabilized by a known linear controller which also stabilizes a linear nominal model of the plant can be parametrized by a stable operator known as the Youla-Kucera parameter. This paper extends previous work by allowing the model of the nominal plant in the above scenario to be nonlinear, and hence explores the possibilities of converting the closed loop plant identification problem to one of open loop identification. The ideas rely on a concept of differential coprimeness for nonlinear fractional system descriptions.

AB - It has been shown that the set of all nonlinear plants that can be stabilized by a known linear controller which also stabilizes a linear nominal model of the plant can be parametrized by a stable operator known as the Youla-Kucera parameter. This paper extends previous work by allowing the model of the nominal plant in the above scenario to be nonlinear, and hence explores the possibilities of converting the closed loop plant identification problem to one of open loop identification. The ideas rely on a concept of differential coprimeness for nonlinear fractional system descriptions.

KW - Modelling

KW - Nonlinear control

KW - Nonlinear identification

UR - https://www.scopus.com/pages/publications/84949093778

U2 - 10.23919/ecc.1997.7082190

DO - 10.23919/ecc.1997.7082190

M3 - Conference Paper

AN - SCOPUS:84949093778

SN - 978-3-9524269-0-6

SP - 772

EP - 777

BT - ECC 1997 - European Control Conference

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 4th European Control Conference, ECC 1997

Y2 - 1 July 1997 through 4 July 1997

ER -

Identification of nonlinear plants using left coprime fractional based representations

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