Risk adjusted receding horizon control of constrained linear parameter varying systems

M. Sznaier, Constantino Manuel Lagoa, X. Li, A. A. Stoorvogel

    Research output: Chapter in Book/Report/Conference proceedingChapter

    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 languageEnglish (US)
    Title of host publicationAdvanced Strategies in Control Systems with Input and Output Constraints
    EditorsSophie Tarbouriech, Adolf Glattfelder
    Pages293-312
    Number of pages20
    DOIs
    StatePublished - Aug 1 2007

    Publication series

    NameLecture Notes in Control and Information Sciences
    Volume346
    ISSN (Print)0170-8643

    Fingerprint

    scheduling

    All Science Journal Classification (ASJC) codes

    • Library and Information Sciences

    Cite this

    Sznaier, M., Lagoa, C. M., Li, X., & Stoorvogel, A. A. (2007). Risk adjusted receding horizon control of constrained linear parameter varying systems. In S. Tarbouriech, & A. Glattfelder (Eds.), Advanced Strategies in Control Systems with Input and Output Constraints (pp. 293-312). (Lecture Notes in Control and Information Sciences; Vol. 346). https://doi.org/10.1007/978-3-540-37010-9_10
    Sznaier, M. ; Lagoa, Constantino Manuel ; Li, X. ; Stoorvogel, A. A. / Risk adjusted receding horizon control of constrained linear parameter varying systems. Advanced Strategies in Control Systems with Input and Output Constraints. editor / Sophie Tarbouriech ; Adolf Glattfelder. 2007. pp. 293-312 (Lecture Notes in Control and Information Sciences).
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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.",
    author = "M. Sznaier and Lagoa, {Constantino Manuel} and X. Li and Stoorvogel, {A. A.}",
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    Sznaier, M, Lagoa, CM, Li, X & Stoorvogel, AA 2007, Risk adjusted receding horizon control of constrained linear parameter varying systems. in S Tarbouriech & A Glattfelder (eds), Advanced Strategies in Control Systems with Input and Output Constraints. Lecture Notes in Control and Information Sciences, vol. 346, pp. 293-312. https://doi.org/10.1007/978-3-540-37010-9_10

    Risk adjusted receding horizon control of constrained linear parameter varying systems. / Sznaier, M.; Lagoa, Constantino Manuel; Li, X.; Stoorvogel, A. A.

    Advanced Strategies in Control Systems with Input and Output Constraints. ed. / Sophie Tarbouriech; Adolf Glattfelder. 2007. p. 293-312 (Lecture Notes in Control and Information Sciences; Vol. 346).

    Research output: Chapter in Book/Report/Conference proceedingChapter

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    T1 - Risk adjusted receding horizon control of constrained linear parameter varying systems

    AU - Sznaier, M.

    AU - Lagoa, Constantino Manuel

    AU - Li, X.

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    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 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.

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    Sznaier M, Lagoa CM, Li X, Stoorvogel AA. Risk adjusted receding horizon control of constrained linear parameter varying systems. In Tarbouriech S, Glattfelder A, editors, Advanced Strategies in Control Systems with Input and Output Constraints. 2007. p. 293-312. (Lecture Notes in Control and Information Sciences). https://doi.org/10.1007/978-3-540-37010-9_10