Discrete-time $H_2$ 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

    Abstract

    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 Hoo algebraic Riccati equation (ARE) based methods, and parametric Lyapunov equation based method. It is shown in Wang et al. [2010b] that for continuous-time linear systems, all these methods are rooted in and can be unified under two fundamental control theories, H2 and Hoo theory. In this paper, we extend such a result to a discrete-time setting. Both the H2 and Hoo ARE based methods are generalized to consider systems where all input channels are not necessarily subject to saturation, and explicit design methods are developed.
    Original languageUndefined
    Title of host publicationProceedings of the 18th IFAC World Congress
    Place of PublicationAmsterdam
    PublisherElsevier
    Pages11411-11416
    Number of pages6
    ISBN (Print)1474-6670
    DOIs
    Publication statusPublished - Sep 2011
    Event18th IFAC World Congress 2011 - Milan, Italy
    Duration: 28 Aug 20112 Sep 2011
    Conference number: 18
    https://www.ifac2011.org/

    Publication series

    Name
    PublisherElsevier
    ISSN (Print)1474-6670

    Conference

    Conference18th IFAC World Congress 2011
    CountryItaly
    CityMilan
    Period28/08/112/09/11
    Internet address

    Keywords

    • METIS-279214
    • EWI-20712
    • IR-78316

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