Robust H2 performance analysis for systems with nonlinear parametric uncertainties

Ke You Zhao; Michael J. Grimble; Jakob Stoustrup

doi:10.23919/ECC.1997.7082239

Robust H₂ performance analysis for systems with nonlinear parametric uncertainties

Ke You Zhao, Michael J. Grimble, Jakob Stoustrup

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

Abstract

In this paper algorithms for calculating the maximal perturbation bounds under H₂ performance constraints for systems with parametric uncertainties are presented. A family of systems is considered, described by state space models which depend nonlinearly on real uncertain parameters. The stability and performance robustness analysis are based on the same matrix algebra results, and the corresponding algorithms therefore are very similar in style. An example illustrates the algorithms and calculations.

Originalsprog	Engelsk
Titel	ECC 1997 - European Control Conference
Antal sider	6
Forlag	IEEE (Institute of Electrical and Electronics Engineers)
Publikationsdato	8 apr. 1997
Sider	1061-1066
Artikelnummer	7082239
ISBN (Elektronisk)	978-3-9524269-0-6
DOI	https://doi.org/10.23919/ECC.1997.7082239
Status	Udgivet - 8 apr. 1997
Begivenhed	4th European Control Conference, ECC 1997 - Brussels, Belgien Varighed: 1 jul. 1997 → 4 jul. 1997

Konference

Konference	4th European Control Conference, ECC 1997
Land/Område	Belgien
By	Brussels
Periode	01/07/1997 → 04/07/1997
Sponsor	Communaute Francaise de Belgique, et al., European Union (DGXII), Fonds National de la Recherche Scientifique (FNRS), IBRA - BIRA, Region Wallonne

Adgang til dokumentet

10.23919/ECC.1997.7082239

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Citationsformater

@inproceedings{00ada14f345a4b4884939ad6fa407f7c,

title = "Robust H2 performance analysis for systems with nonlinear parametric uncertainties",

abstract = "In this paper algorithms for calculating the maximal perturbation bounds under H2 performance constraints for systems with parametric uncertainties are presented. A family of systems is considered, described by state space models which depend nonlinearly on real uncertain parameters. The stability and performance robustness analysis are based on the same matrix algebra results, and the corresponding algorithms therefore are very similar in style. An example illustrates the algorithms and calculations.",

keywords = "Nonlinear parametric uncertainties, Optimal control, Robust control, Robust performance, Robust stability",

author = "Zhao, {Ke You} and Grimble, {Michael J.} and Jakob Stoustrup",

year = "1997",

month = apr,

day = "8",

doi = "10.23919/ECC.1997.7082239",

language = "English",

pages = "1061--1066",

booktitle = "ECC 1997 - European Control Conference",

publisher = "IEEE (Institute of Electrical and Electronics Engineers)",

address = "United States",

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

}

Robust H₂ performance analysis for systems with nonlinear parametric uncertainties. / Zhao, Ke You; Grimble, Michael J.; Stoustrup, Jakob.
ECC 1997 - European Control Conference. IEEE (Institute of Electrical and Electronics Engineers), 1997. s. 1061-1066 7082239.

Publikation: Bidrag til bog/antologi/rapport/konference proceeding › Konferenceartikel i proceeding › Forskning › peer review

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AU - Zhao, Ke You

AU - Grimble, Michael J.

AU - Stoustrup, Jakob

PY - 1997/4/8

Y1 - 1997/4/8

N2 - In this paper algorithms for calculating the maximal perturbation bounds under H2 performance constraints for systems with parametric uncertainties are presented. A family of systems is considered, described by state space models which depend nonlinearly on real uncertain parameters. The stability and performance robustness analysis are based on the same matrix algebra results, and the corresponding algorithms therefore are very similar in style. An example illustrates the algorithms and calculations.

AB - In this paper algorithms for calculating the maximal perturbation bounds under H2 performance constraints for systems with parametric uncertainties are presented. A family of systems is considered, described by state space models which depend nonlinearly on real uncertain parameters. The stability and performance robustness analysis are based on the same matrix algebra results, and the corresponding algorithms therefore are very similar in style. An example illustrates the algorithms and calculations.

KW - Nonlinear parametric uncertainties

KW - Optimal control

KW - Robust control

KW - Robust performance

KW - Robust stability

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DO - 10.23919/ECC.1997.7082239

M3 - Article in proceeding

AN - SCOPUS:84983127576

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BT - ECC 1997 - European Control Conference

PB - IEEE (Institute of Electrical and Electronics Engineers)

T2 - 4th European Control Conference, ECC 1997

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