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    A neighboring extremal solution for optimal switched impulsive control problems with large perturbations

    186694_64040_Jiang_Teo_Loxton_Duan_IJICIC.pdf (161.3Kb)
    Access Status
    Open access
    Authors
    Jiang, C.
    Teo, Kok Lay
    Loxton, Ryan
    Duan, G.
    Date
    2012
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Jiang, Canghua and Teo, Kok Lay and Loxton, Ryan and Duan, Guangren. 2012. A neighboring extremal solution for optimal switched impulsive control problems with large perturbations. International Journal of Innovative Computing Information and Control. 8 (9): pp. 6235-6257.
    Source Title
    International Journal of Innovative Computing Information and Control
    Additional URLs
    http://www.ijicic.org/ijicic-11-05104.pdf
    ISSN
    1349-4198
    URI
    http://hdl.handle.net/20.500.11937/4554
    Collection
    • Curtin Research Publications
    Abstract

    This paper presents an approach to compute the neighboring extremal solution for an optimal switched impulsive control problem with a pre-specified sequence of modes and a large perturbation in the initial state. The decision variables - the subsystem switching times and the control parameters - are subject to inequality constraints. Since the active status of these inequality constraints may change under the large perturbation, we add fractions of the initial perturbation separately such that the active status of the inequality constraints is invariant during each step, and compute the neighboring extremal solution iteratively by solving a sequence of quadratic programming problems. First, we compute a correction direction for the control in the perturbed system through an extended backward sweep technique. Then, we compute the maximal step size in this direction and derive the solution iteratively by using a revised active set strategy. An example problem involving a shrimp harvesting operation demonstrates that our solution approach is faster than the sequential quadratic programming approach.

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