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    Optimal Control of Nonlinear Switched Systems: Computational Methods and Applications

    192934_192934.pdf (291.5Kb)
    Access Status
    Open access
    Authors
    Lin, Qun
    Loxton, Ryan
    Teo, Kok Lay
    Date
    2013
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Lin, Qun and Loxton, Ryan and Teo, Kok Lay. 2013. Optimal Control of Nonlinear Switched Systems: Computational Methods and Applications. Journal of the Operations Research Society of China. 1 (3): pp. 275-311.
    Source Title
    Journal of Operations Research Society of China
    DOI
    10.1007/s40305-013-0021-z
    ISSN
    2194668X
    Remarks

    The final publication is available at Springer via http://doi.org/10.1007/s40305-013-0021-z

    URI
    http://hdl.handle.net/20.500.11937/47593
    Collection
    • Curtin Research Publications
    Abstract

    A switched system is a dynamic system that operates by switching between different subsystems or modes. Such systems exhibit both continuous and discrete characteristics—a dual nature that makes designing effective control policies a challenging task. The purpose of this paper is to review some of the latest computational techniques for generating optimal control laws for switched systems with nonlinear dynamics and continuous inequality constraints. We discuss computational strategiesfor optimizing both the times at which a switched system switches from one mode to another (the so-called switching times) and the sequence in which a switched system operates its various possible modes (the so-called switching sequence). These strategies involve novel combinations of the control parameterization method, the timescaling transformation, and bilevel programming and binary relaxation techniques. We conclude the paper by discussing a number of switched system optimal control models arising in practical applications.

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