Identifying stable fixed order systems from time and frequency response data

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

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

    1 Scopus citations

    Abstract

    In this paper, we address the problem of identifying fixed order stable SISO systems from time and frequency domain data. Given measurements of time and frequency response corrupted by process and measurement noise, we aim at finding a fixed order stable plant whose response matches the data collected (within the noise bounds) and whose H norm is below a prescribed level. It is shown the problem can be solved by finding a point in a set defined by polynomial inequalities and the sparse structure of the polynomials is exploited to develop an efficient system identification algorithm. Further computational improvements are obtained by reformulating the problem as a rank constrained one and using efficient convex relaxations of rank minimization. Numerical examples are provided to illustrate the efficiency of the proposed algorithms.

    Original languageEnglish (US)
    Title of host publicationProceedings of the 2011 American Control Conference, ACC 2011
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages1253-1259
    Number of pages7
    ISBN (Print)9781457700804
    DOIs
    StatePublished - Jan 1 2011

    Publication series

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

    All Science Journal Classification (ASJC) codes

    • Electrical and Electronic Engineering

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  • Cite this

    Feng, C., Lagoa, C. M., & Sznaier, M. (2011). Identifying stable fixed order systems from time and frequency response data. In Proceedings of the 2011 American Control Conference, ACC 2011 (pp. 1253-1259). [5990950] (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/acc.2011.5990950