Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item

    A Gradient-based Kernel Optimization Approach for Parabolic Distributed Parameter Control Systems

    Access Status
    Open access via publisher
    Authors
    Ren, Z.
    Xu, C.
    Lin, Qun
    Loxton, Ryan
    Date
    2016
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Ren, Z. and Xu, C. and Lin, Q. and Loxton, R. 2016. A Gradient-based Kernel Optimization Approach for Parabolic Distributed Parameter Control Systems. Pacific Journal of Optimization. 12 (2): pp. 263-287.
    Source Title
    Pacific Journal of Optimization
    Additional URLs
    http://www.ybook.co.jp/online2/oppjo/vol12/p263.html
    ISSN
    1348-9151
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/21022
    Collection
    • Curtin Research Publications
    Abstract

    This paper proposes a new gradient-based optimization approach for designing optimal feedback kernels for parabolic distributed parameter systems with boundary control. Unlike traditional kernel optimization methods for parabolic systems, our new method does not require solving non-standard Riccati-type or Klein-Gorden-type partial differential equations (PDEs). Instead, the feedback kernel is parameterized as a second-order polynomial whose coefficients are decision variables to be tuned via gradient-based dynamic optimization, where the gradient of the system cost functional (which penalizes both kernel and output magnitude) is computed by solving a so-called “costate" PDE in standard form. Special constraints are imposed on the kernel coefficients to ensure that, under mild conditions, the optimized kernel yields closed-loop stability. Numerical simulations demonstrate the effectiveness of the proposed approach.

    Related items

    Showing items related by title, author, creator and subject.

    • Output stabilization of boundary-controlled parabolic PDEs via gradient-based dynamic optimization
      Ren, Z.; Xu, C.; Lin, Qun; Loxton, Ryan (2015)
      This paper proposes a new control synthesis approach for the stabilization of boundary-controlled parabolic partial differential equations (PDEs). In the proposed approach, the optimal boundary control is expressed in ...
    • Computational methods for solving optimal industrial process control problems
      Chai, Qinqin (2013)
      In this thesis, we develop new computational methods for three classes of dynamic optimization problems: (i) A parameter identification problem for a general nonlinear time-delay system; (ii) an optimal control problem ...
    • An optimal control problem involving impulsive integrodifferential systems
      Wu, C.; Teo, Kok Lay; Zhao, Y.; Yan, W. (2007)
      In this article, we consider a class of optimal control problems involving dynamical systems described by impulsive integrodifferential equations. First, we approximate the integral kernel of the integral equation by a ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.