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    On a class of optimal control problems with variable time points in the objective and constraint functionals

    117700_6367_LoxtonTeoVolker.pdf (172.3Kb)
    Access Status
    Open access
    Authors
    Loxton, Ryan
    Teo, Kok Lay
    Rehbock, Volker
    Date
    2007
    Type
    Conference Paper
    
    Metadata
    Show full item record
    Citation
    Loxton, Ryan and Teo, Kok Lay and Rehbock, Volker. 2007. On a class of optimal control problems with variable time points in the objective and constraint functionals, in Fukushima, M. and Tsushin-Kenkyusho, C. (ed), Proceedings of the 7th International Conference on Optimization: Techniques and Applications (ICOTA7), Dec 12-15 2007, pp. 69-69. Kobe, Japan: Konan University.
    Source Title
    The 7th International Conference on Optimization: Techniques and Applications (ICOTA7) Proceedings
    Source Conference
    The 7th International Conference on Optimization: Techniques and Applications (ICOTA7)
    ISBN
    9784946443152
    Faculty
    School of Science and Computing
    Department of Mathematics and Statistics
    Faculty of Science and Engineering
    URI
    http://hdl.handle.net/20.500.11937/22103
    Collection
    • Curtin Research Publications
    Abstract

    We develop a computational method for a class of optimal control problems where the objective and constraint functionals depend on a set of variable time points. Control parametrization and a time scaling transformation are used to approximate this type of optimal control problem by an optimal parameter selection problem. This approximate optimal parameter selection problem can be viewed as a finite dimensional optimization problem. On this basis, gradient formulae for the cost and constraint functions are derived. With these gradient formulae, standard gradient-based optimization methods can be applied. For illustration, a numerical example is solved.

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