$H_2$ and $H_\infty$ low-gain theory

Xu Wang, Antonie Arij Stoorvogel, Ali Saberi, Peddapullaiah Sannuti

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review


    For stabilization of linear systems subject to input saturation, there exist four different approaches of low-gain design all of which are independently proposed in the literature, namely direct eigenstructure assignment, H2 and H∞ algebraic Riccati equation (ARE) based methods, and parametric Lyapunov equation based method. We show here all these methods are rooted in and can be unified under two fundamental control theories, H2 and H∞ theory. Moreover, both the H2 and H∞ ARE based methods are generalized to consider systems where all input channels are not subject to saturation, and explicit design methods are developed.
    Original languageUndefined
    Title of host publicationProceedings of the American Control Conference, ACC 2011
    Place of PublicationUSA
    Number of pages6
    ISBN (Print)978-1-4577-0080-4
    Publication statusPublished - Jun 2011
    Event2011 American Control Conference, ACC 2011 - San Francisco, United States
    Duration: 29 Jun 20111 Jul 2011

    Publication series

    PublisherIEEE Control Systems Society
    ISSN (Print)0743-1619


    Conference2011 American Control Conference, ACC 2011
    Abbreviated titleACC
    Country/TerritoryUnited States
    CitySan Francisco


    • METIS-279209
    • EWI-20707
    • IR-78311

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