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    Optimal control computation for nonlinear systems with state-dependent stopping criteria

    186790_186790.pdf (501.8Kb)
    Access Status
    Open access
    Authors
    Lin, Qun
    Loxton, Ryan
    Teo, Kok Lay
    Wu, Yong Hong
    Date
    2012
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Lin, Qun and Loxton, Ryan and Teo, Kok Lay and Wu, Yong Hong. 2012. Optimal control computation for nonlinear systems with state-dependent stopping criteria. Automatica. 48 (9): pp. 2116-2129.
    Source Title
    Automatica
    DOI
    10.1016/j.automatica.2012.06.055
    ISSN
    0005-1098
    Remarks

    NOTICE: this is the author’s version of a work that was accepted for publication in Automatica. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Automatica, Vol. 48, No. 9 (2012). DOI: 10.1016/j.automatica.2012.06.055

    URI
    http://hdl.handle.net/20.500.11937/26243
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we consider a challenging optimal control problem in which the terminal time is determined by a stopping criterion. This stopping criterion is defined by a smooth surface in the state space; when the state trajectory hits this surface, the governing dynamic system stops. By restricting the controls to piecewise constant functions, we derive a finite-dimensional approximation of the optimal control problem. We then develop an efficient computational method, based on nonlinear programming, for solving the approximate problem. We conclude the paper with four numerical examples.

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