Risk adjusted receding horizon control of constrained linear parameter varying systems

M. Sznaier, C.M. Lagoa, Xueliang Li, X. Li, Antonie Arij Stoorvogel

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    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 chapter we propose to address these difficulties by combining Receding Horizon and Control Lyapunov Functions techniques in a risk--adjusted framework. The resulting controllers are guaranteed to stabilize the plant and have computational complexity that increases polynomially, rather than exponentially, with the prediction horizon.
    Original languageUndefined
    Title of host publicationAdvanced strategies in control systems with input and output constraints
    EditorsS. Tarbouriech, G. Garcia, A.H. Glattfelder
    Place of PublicationLondon
    PublisherSpringer
    Pages293-312
    Number of pages20
    ISBN (Print)978-3-540-37009-3
    DOIs
    Publication statusPublished - 2007

    Publication series

    NameLecture Notes in Control and Information Sciences
    PublisherSpringer Verlag
    Number06472/346
    Volume346
    ISSN (Print)1610-7411

    Keywords

    • METIS-241654
    • IR-64062
    • EWI-10025
    • MSC-93C10

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