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    A New Computational Method for a Class of Free Terminal Time Optimal Control Problems

    Access Status
    Fulltext not available
    Authors
    Qun, Lin
    Loxton, Ryan
    Teo, Kok Lay
    Wu, Yong Hong
    Date
    2011
    Type
    Journal Article
    
    Metadata
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    Citation
    Qun, Lin and Loxton, Ryan and Teo, Kok Lay and Wu, Yong Hong. 2011. A New Computational Method for a Class of Free Terminal Time Optimal Control Problems. Pacific Journal of Optimization. 7 (1): pp. 63-81.
    Source Title
    Pacific Journal of Optimization
    ISSN
    1348-9151
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/5044
    Collection
    • Curtin Research Publications
    Abstract

    We develop a numerical method for solving an optimal control problem whose terminal time is not fixed, but is instead determined by a state-dependent stopping criterion. The main idea of this method is to approximate hte control by a piecewise constant function whose values and switching times are decision variables to be determined optimally. The optimal control problem then becomes an optimization problem with a finite number of decision variables. We develop a novel method for computing the gradient of the cost function in this approximate problem. On this basis, the approximate problem can be solved using any gradient-based optimization technique. We use this approach to solve an aeronautical control problem involving a gliding projectile. We also prove several important convergence results that justify our approximation scheme.

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