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    Optimal control of switched system with time delay detection of switching signal

    Access Status
    Fulltext not available
    Authors
    Wu, Changzhi
    Teo, Kok Lay
    Rehbock, Volker
    Date
    2011
    Type
    Book Chapter
    
    Metadata
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    Citation
    Wu, C. and Teo, K.L. and Rehbock, V. 2011. Optimal control of switched system with time delay detection of switching signal, in Numerical Linear Algebra in Signals, Systems and Control, pp. 467-478. Springer.
    Source Title
    Lecture Notes in Electrical Engineering
    DOI
    10.1007/978-94-007-0602-6_21
    ISBN
    9789400706019
    School
    Department of Construction Management
    URI
    http://hdl.handle.net/20.500.11937/48044
    Collection
    • Curtin Research Publications
    Abstract

    This paper deals with optimal control problems governed by switched systems with time delay detection of switching signal. We consider the switching sequence as well as the switching instants as decision variables. We present a two-level optimization method to solve it. In the first level, we fix the switching sequence, and introduce a time scaling transformation such that the switching instants are mapped into pre-assigned fixed knot points. Then, the transformed problem becomes a standard optimal parameter selection problem, and hence can be solved by many optimal control techniques and the corresponding optimal control software packages, such as MISER. In the second level, we consider the switching sequence as decision variables. We introduce a discrete filled function method to search for a global optimal switching sequence. Finally, a numerical example is presented to illustrate the efficiency of our method. © 2011 Springer Science+Business Media B.V.

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