On the existence of multipliers for MIMO systems with repeated slope-restricted nonlinearities

Matthew Turner, Murray Kerr, Ian Postlethwaite

    Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

    5 Citations (Scopus)

    Abstract

    This paper studies the absolute stability problem for closed-loop systems containing a known linear-time-invariant (LTI) part and a static nonlinear element with restricted slope. LMI-based conditions which can be used to guarantee the stability of the closed-loop system are derived, based on extensions of the Zames-Falb multiplier. The paper extends previous single-input-single-output results to multiple-input-multiple-output systems. The generality of the Zames-Falb mulitiplier ensures that it is no more conservative than the Circle and Popov criteria, and sometimes dramatically less so.
    Original languageEnglish
    Title of host publicationProceedings of ICCAS-SICE, 2009
    Place of PublicationPiscataway
    PublisherIEEE
    Pages1052-1057
    ISBN (Print)978-4907764340
    Publication statusPublished - 2009

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