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    The control parameterization method for nonlinear optimal control: A survey

    193831_98929_Lin-Control_Parameterization.pdf (464.5Kb)
    Access Status
    Open access
    Authors
    Lin, Qun
    Loxton, Ryan
    Teo, Kok Lay
    Date
    2014
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Lin, Qun and Loxton, Ryan and Teo, Kok Lay. 2014. The control parameterization method for nonlinear optimal control: A survey. Journal of Industrial and management optimization. 10 (1): pp. 275-309.
    Source Title
    Journal of Industrial and management optimization
    DOI
    10.3934/jimo.2014.10.275
    ISSN
    1547-5816
    Remarks

    Copyright © 2013 American Institute of Mathematical Sciences

    URI
    http://hdl.handle.net/20.500.11937/9322
    Collection
    • Curtin Research Publications
    Abstract

    The control parameterization method is a popular numerical technique for solving optimal control problems. The main idea of control parameterization is to discretize the control space by approximating the control function by a linear combination of basis functions. Under this approximation scheme, the optimal control problem is reduced to an approximate nonlinear optimization problem with a finite number of decision variables. This approximate problem can then be solved using nonlinear programming techniques. The aim of this paper is to introduce the fundamentals of the control parameterization method and survey its various applications to non-standard optimal control problems. Topics discussed include gradient computation, numerical convergence, variable switching times, and methods for handling state constraints. We conclude the paper with some suggestions for future research.

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