Risk adjusted output feedback Receding Horizon control of constrained Linear Parameter Varying Systems

M. Sznaier, Constantino Manuel Lagoa, N. Ozay

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

    Abstract

    In the past few years, control of Linear Parameter Varying Systems (LPV) has been the object of considerable attention, as a way of formalizing the intuitively appealing idea of gain scheduling control for nonlinear systems. However, currently available LPV techniques are both computationally demanding and (potentially) very conservative. In this paper we propose to address these difficulties by combining Receding Horizon and risk-adjusted techniques. The resulting controllers are guaranteed to stabilize the plant and have computational complexity that increases polynomially, rather than exponentially, with the prediction horizon.

    Original languageEnglish (US)
    Title of host publication2007 European Control Conference, ECC 2007
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages433-440
    Number of pages8
    ISBN (Electronic)9783952417386
    StatePublished - Jan 1 2007
    Event2007 9th European Control Conference, ECC 2007 - Kos, Greece
    Duration: Jul 2 2007Jul 5 2007

    Publication series

    Name2007 European Control Conference, ECC 2007

    Other

    Other2007 9th European Control Conference, ECC 2007
    CountryGreece
    CityKos
    Period7/2/077/5/07

    Fingerprint

    Feedback
    Nonlinear systems
    Computational complexity
    Scheduling
    Controllers

    All Science Journal Classification (ASJC) codes

    • Control and Systems Engineering

    Cite this

    Sznaier, M., Lagoa, C. M., & Ozay, N. (2007). Risk adjusted output feedback Receding Horizon control of constrained Linear Parameter Varying Systems. In 2007 European Control Conference, ECC 2007 (pp. 433-440). [7068641] (2007 European Control Conference, ECC 2007). Institute of Electrical and Electronics Engineers Inc..
    Sznaier, M. ; Lagoa, Constantino Manuel ; Ozay, N. / Risk adjusted output feedback Receding Horizon control of constrained Linear Parameter Varying Systems. 2007 European Control Conference, ECC 2007. Institute of Electrical and Electronics Engineers Inc., 2007. pp. 433-440 (2007 European Control Conference, ECC 2007).
    @inproceedings{68ea198daa5b41f39133156cd88e6160,
    title = "Risk adjusted output feedback Receding Horizon control of constrained Linear Parameter Varying Systems",
    abstract = "In the past few years, control of Linear Parameter Varying Systems (LPV) has been the object of considerable attention, as a way of formalizing the intuitively appealing idea of gain scheduling control for nonlinear systems. However, currently available LPV techniques are both computationally demanding and (potentially) very conservative. In this paper we propose to address these difficulties by combining Receding Horizon and risk-adjusted techniques. The resulting controllers are guaranteed to stabilize the plant and have computational complexity that increases polynomially, rather than exponentially, with the prediction horizon.",
    author = "M. Sznaier and Lagoa, {Constantino Manuel} and N. Ozay",
    year = "2007",
    month = "1",
    day = "1",
    language = "English (US)",
    series = "2007 European Control Conference, ECC 2007",
    publisher = "Institute of Electrical and Electronics Engineers Inc.",
    pages = "433--440",
    booktitle = "2007 European Control Conference, ECC 2007",
    address = "United States",

    }

    Sznaier, M, Lagoa, CM & Ozay, N 2007, Risk adjusted output feedback Receding Horizon control of constrained Linear Parameter Varying Systems. in 2007 European Control Conference, ECC 2007., 7068641, 2007 European Control Conference, ECC 2007, Institute of Electrical and Electronics Engineers Inc., pp. 433-440, 2007 9th European Control Conference, ECC 2007, Kos, Greece, 7/2/07.

    Risk adjusted output feedback Receding Horizon control of constrained Linear Parameter Varying Systems. / Sznaier, M.; Lagoa, Constantino Manuel; Ozay, N.

    2007 European Control Conference, ECC 2007. Institute of Electrical and Electronics Engineers Inc., 2007. p. 433-440 7068641 (2007 European Control Conference, ECC 2007).

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

    TY - GEN

    T1 - Risk adjusted output feedback Receding Horizon control of constrained Linear Parameter Varying Systems

    AU - Sznaier, M.

    AU - Lagoa, Constantino Manuel

    AU - Ozay, N.

    PY - 2007/1/1

    Y1 - 2007/1/1

    N2 - In the past few years, control of Linear Parameter Varying Systems (LPV) has been the object of considerable attention, as a way of formalizing the intuitively appealing idea of gain scheduling control for nonlinear systems. However, currently available LPV techniques are both computationally demanding and (potentially) very conservative. In this paper we propose to address these difficulties by combining Receding Horizon and risk-adjusted techniques. The resulting controllers are guaranteed to stabilize the plant and have computational complexity that increases polynomially, rather than exponentially, with the prediction horizon.

    AB - In the past few years, control of Linear Parameter Varying Systems (LPV) has been the object of considerable attention, as a way of formalizing the intuitively appealing idea of gain scheduling control for nonlinear systems. However, currently available LPV techniques are both computationally demanding and (potentially) very conservative. In this paper we propose to address these difficulties by combining Receding Horizon and risk-adjusted techniques. The resulting controllers are guaranteed to stabilize the plant and have computational complexity that increases polynomially, rather than exponentially, with the prediction horizon.

    UR - http://www.scopus.com/inward/record.url?scp=84927748740&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84927748740&partnerID=8YFLogxK

    M3 - Conference contribution

    T3 - 2007 European Control Conference, ECC 2007

    SP - 433

    EP - 440

    BT - 2007 European Control Conference, ECC 2007

    PB - Institute of Electrical and Electronics Engineers Inc.

    ER -

    Sznaier M, Lagoa CM, Ozay N. Risk adjusted output feedback Receding Horizon control of constrained Linear Parameter Varying Systems. In 2007 European Control Conference, ECC 2007. Institute of Electrical and Electronics Engineers Inc. 2007. p. 433-440. 7068641. (2007 European Control Conference, ECC 2007).