Robustness of Linear Systems towards Multi-Dissipative Pertubations

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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 languageEnglish
    Title of host publicationAmerican Control Conference (ACC97), Albuquerque, New Mexico, USA
    Volume5
    PublisherIEEE
    Publication date1997
    ISBN (Print)0-7803-3832-4
    DOIs
    Publication statusPublished - 1997
    Event1997 American Control Conference - Albuquerque, NM, United States
    Duration: 4 Jun 19976 Jun 1997
    http://www.ece.unm.edu/controls/ACC97/welcome.html

    Conference

    Conference1997 American Control Conference
    CountryUnited States
    CityAlbuquerque, NM
    Period04/06/199706/06/1997
    Internet address

    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

    Cite this

    Thygesen, U. H., & Poulsen, N. K. (1997). Robustness of Linear Systems towards Multi-Dissipative Pertubations. In American Control Conference (ACC97), Albuquerque, New Mexico, USA (Vol. 5). IEEE. https://doi.org/10.1109/ACC.1997.612106
    Thygesen, Uffe Høgsbro ; Poulsen, Niels Kjølstad. / Robustness of Linear Systems towards Multi-Dissipative Pertubations. American Control Conference (ACC97), Albuquerque, New Mexico, USA. Vol. 5 IEEE, 1997.
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    author = "Thygesen, {Uffe H{\o}gsbro} and Poulsen, {Niels Kj{\o}lstad}",
    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",
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    doi = "10.1109/ACC.1997.612106",
    language = "English",
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    Thygesen, UH & Poulsen, NK 1997, Robustness of Linear Systems towards Multi-Dissipative Pertubations. in American Control Conference (ACC97), Albuquerque, New Mexico, USA. vol. 5, IEEE, 1997 American Control Conference, Albuquerque, NM, United States, 04/06/1997. https://doi.org/10.1109/ACC.1997.612106

    Robustness of Linear Systems towards Multi-Dissipative Pertubations. / Thygesen, Uffe Høgsbro; Poulsen, Niels Kjølstad.

    American Control Conference (ACC97), Albuquerque, New Mexico, USA. Vol. 5 IEEE, 1997.

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

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    PY - 1997

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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

    ER -

    Thygesen UH, Poulsen NK. Robustness of Linear Systems towards Multi-Dissipative Pertubations. In American Control Conference (ACC97), Albuquerque, New Mexico, USA. Vol. 5. IEEE. 1997 https://doi.org/10.1109/ACC.1997.612106