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    Dynamic Optimization for Switched Time-Delay Systems with State-Dependent Switching Conditions

    273240.pdf (331.8Kb)
    Access Status
    Open access
    Authors
    Liu, Chongyang
    Loxton, Ryan
    Lin, Qun
    Teo, Kok Lay
    Date
    2018
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Liu, C. and Loxton, R. and Lin, Q. and Teo, K.L. 2018. Dynamic Optimization for Switched Time-Delay Systems with State-Dependent Switching Conditions. SIAM Journal on Control and Optimization. 56 (5): pp. 3499-3523.
    Source Title
    SIAM Journal on Control and Optimization
    DOI
    10.1137/16M1070530
    ISSN
    0363-0129
    School
    School of Electrical Engineering, Computing and Mathematical Science (EECMS)
    Funding and Sponsorship
    http://purl.org/au-research/grants/arc/DP140100289
    Remarks

    Copyright © 2018, Society for Industrial and Applied Mathematics

    URI
    http://hdl.handle.net/20.500.11937/72334
    Collection
    • Curtin Research Publications
    Abstract

    This paper considers a dynamic optimization problem for a class of switched systems characterized by two key attributes: (i) the switching mechanism is invoked automatically when the state variables satisfy certain switching conditions; and (ii) the subsystem dynamics involve time-delays in the state variables. The decision variables in the problem, which must be selected optimally to minimize system cost, consist of a set of time-invariant system parameters in the initial state functions. To solve the dynamic optimization problem, we first show that the partial derivatives of the system state with respect to the system parameters can be expressed in terms of the solution of a set of variational switched systems. Then, on the basis of this result, we develop a gradient-based optimization algorithm to determine the optimal parameter values. Finally, we validate the proposed algorithm by solving an example problem arising in the production of 1,3-propanediol.

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