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    Tracking Control of Linear Switched Systems

    118336_10660_08J3_ANZIAM-Tracking Control of Linear Switched Systems.pdf (4.156Mb)
    Access Status
    Open access
    Authors
    Li, R.
    Feng, Z.
    Teo, Kok
    Duan, G.
    Date
    2007
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Li, R. and Feng, Z.G. and Teo, K.L. and Duan, G.R. 2007. Tracking Control of Linear Switched Systems. ANZIAM Journal 49 (2): pp. 187-203.
    Source Title
    ANZIAM Journal
    DOI
    10.1017/S1446181100012773
    ISSN
    14461811
    Faculty
    Department of Mathematics and Statistics
    Science and Engineering
    Remarks

    © Cambridge University Press 2007

    URI
    http://hdl.handle.net/20.500.11937/26943
    Collection
    • Curtin Research Publications
    Abstract

    This paper deals with the optimal tracking problem for switched systems, where the control input, the switching times and the switching index are all design variables. We propose a three-stage method for solving this problem. First, we fix the switching times and switching index sequence, which leads to a linear tracking problem, except different subsystems are defined in their respective time intervals. The optimal control and the corresponding cost function obtained depend on the switching signal. This gives rise to an optimal parameter selection problem for which the switching instants and the switching index are to be chosen optimally. In the second stage, the switching index is fixed. A reverse time transformation followed by a time scaling transform are introduced to convert this subproblem into an equivalent standard optimal parameter selection problem. The gradient formula of the cost function is derived. Then the discrete filled function is used in the third stage to search for the optimal switching index. On this basis, a computational method, which combines a gradient-based method, a local search algorithm and a filled function method, is developed for solving this problem. A numerical exampleis solved, showing the effectiveness of the proposed approach.

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