Identifying stable fixed order systems from time and frequency response data

C. Feng, Constantino Manuel Lagoa, M. Sznaier

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

    1 Citation (Scopus)

    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
    Pages1253-1259
    Number of pages7
    StatePublished - Sep 29 2011
    Event2011 American Control Conference, ACC 2011 - San Francisco, CA, United States
    Duration: Jun 29 2011Jul 1 2011

    Publication series

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

    Other

    Other2011 American Control Conference, ACC 2011
    CountryUnited States
    CitySan Francisco, CA
    Period6/29/117/1/11

    Fingerprint

    Frequency response
    Polynomials
    Identification (control systems)

    All Science Journal Classification (ASJC) codes

    • Electrical and Electronic Engineering

    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).
    Feng, C. ; Lagoa, Constantino Manuel ; Sznaier, M. / Identifying stable fixed order systems from time and frequency response data. Proceedings of the 2011 American Control Conference, ACC 2011. 2011. pp. 1253-1259 (Proceedings of the American Control Conference).
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    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.",
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    Feng, C, Lagoa, CM & Sznaier, M 2011, Identifying stable fixed order systems from time and frequency response data. in Proceedings of the 2011 American Control Conference, ACC 2011., 5990950, Proceedings of the American Control Conference, pp. 1253-1259, 2011 American Control Conference, ACC 2011, San Francisco, CA, United States, 6/29/11.

    Identifying stable fixed order systems from time and frequency response data. / Feng, C.; Lagoa, Constantino Manuel; Sznaier, M.

    Proceedings of the 2011 American Control Conference, ACC 2011. 2011. p. 1253-1259 5990950 (Proceedings of the American Control Conference).

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

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    AB - 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.

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    Feng C, Lagoa CM, Sznaier M. Identifying stable fixed order systems from time and frequency response data. In Proceedings of the 2011 American Control Conference, ACC 2011. 2011. p. 1253-1259. 5990950. (Proceedings of the American Control Conference).