A convex approach to generalized fixed order interpolation

C. Feng, C. M. Lagoa, M. Sznaier

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    3 Scopus citations

    Abstract

    In this paper, we address the problem of finding a fixed order plant that interpolates given data in time and frequency domain, and satisfies additional constraints such as stability and passivity. The comprehensive framework developed in this paper can be used to address a wide range of complex control problems such as system identification with a priori bound on its order, fixed-order controller design and spectral estimation. To solve the proposed interpolation problem, it is first shown that it can be recast as finding a point in a properly defined semi-algebraic set. Then, an efficient numerical algorithm based on convex relaxations of rank minimization is proposed to solve the problem. Numerical examples are provided to illustrate the efficiency of the algorithm.

    Original languageEnglish (US)
    Title of host publication2012 American Control Conference, ACC 2012
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages5174-5181
    Number of pages8
    ISBN (Print)9781457710957
    DOIs
    StatePublished - 2012
    Event2012 American Control Conference, ACC 2012 - Montreal, QC, Canada
    Duration: Jun 27 2012Jun 29 2012

    Publication series

    NameProceedings of the American Control Conference
    ISSN (Print)0743-1619

    Other

    Other2012 American Control Conference, ACC 2012
    CountryCanada
    CityMontreal, QC
    Period6/27/126/29/12

    All Science Journal Classification (ASJC) codes

    • Electrical and Electronic Engineering

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