Robustness of Linear Systems towards Multi-Dissipative Pertubations

Uffe Høgsbro Thygesen; Niels Kjølstad Poulsen

doi:10.1109/ACC.1997.612106

Robustness of Linear Systems towards Multi-Dissipative Pertubations

Uffe Høgsbro Thygesen, Niels Kjølstad Poulsen

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

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Abstract

We consider the question of robust stability of a linear time invariant plant subject to dynamic perturbations, which are dissipative in the sense of Willems with respect to several quadratic supply rates. For instance, parasitic dynamics are often both small gain and passive. We reduce several robustness analysis questions to linear matrix inequalities: robust stability, robust H2 performance and robust performance in presence of disturbances with finite signal-to-noise ratios

Original language	English
Title of host publication	American Control Conference (ACC97), Albuquerque, New Mexico, USA
Volume	5
Publisher	IEEE
Publication date	1997
ISBN (Print)	0-7803-3832-4
DOIs	https://doi.org/10.1109/ACC.1997.612106
Publication status	Published - 1997
Event	1997 American Control Conference - Albuquerque, NM, United States Duration: 4 Jun 1997 → 6 Jun 1997 http://www.ece.unm.edu/controls/ACC97/welcome.html

Conference

Conference	1997 American Control Conference
Country	United States
City	Albuquerque, NM
Period	04/06/1997 → 06/06/1997
Internet address	http://www.ece.unm.edu/controls/ACC97/welcome.html

Bibliographical note

Copyright: 1997 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE

Access to Document

10.1109/ACC.1997.612106

ThygesenFinal published version, 189 KB

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Cite this

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title = "Robustness of Linear Systems towards Multi-Dissipative Pertubations",

abstract = "We consider the question of robust stability of a linear time invariant plant subject to dynamic perturbations, which are dissipative in the sense of Willems with respect to several quadratic supply rates. For instance, parasitic dynamics are often both small gain and passive. We reduce several robustness analysis questions to linear matrix inequalities: robust stability, robust H2 performance and robust performance in presence of disturbances with finite signal-to-noise ratios",

author = "Thygesen, {Uffe H{\o}gsbro} and Poulsen, {Niels Kj{\o}lstad}",

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AU - Thygesen, Uffe Høgsbro

AU - Poulsen, Niels Kjølstad

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N2 - We consider the question of robust stability of a linear time invariant plant subject to dynamic perturbations, which are dissipative in the sense of Willems with respect to several quadratic supply rates. For instance, parasitic dynamics are often both small gain and passive. We reduce several robustness analysis questions to linear matrix inequalities: robust stability, robust H2 performance and robust performance in presence of disturbances with finite signal-to-noise ratios

AB - We consider the question of robust stability of a linear time invariant plant subject to dynamic perturbations, which are dissipative in the sense of Willems with respect to several quadratic supply rates. For instance, parasitic dynamics are often both small gain and passive. We reduce several robustness analysis questions to linear matrix inequalities: robust stability, robust H2 performance and robust performance in presence of disturbances with finite signal-to-noise ratios

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DO - 10.1109/ACC.1997.612106

M3 - Article in proceedings

SN - 0-7803-3832-4

VL - 5

BT - American Control Conference (ACC97), Albuquerque, New Mexico, USA

PB - IEEE

T2 - 1997 American Control Conference

Y2 - 4 June 1997 through 6 June 1997

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