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    Impulsive mode elimination for descriptor systems by a structured P-D feedback

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    Authors
    Zhang, G.
    Liu, Wan-Quan
    Date
    2011
    Type
    Journal Article
    
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    Citation
    Zhang, Guoshan and Liu, Wanquan. 2011. Impulsive mode elimination for descriptor systems by a structured P-D feedback. IEEE Transactions on Automatic Control. 56 (12): pp. 2968-2972.
    Source Title
    IEEE Transactions on Automatic Control
    DOI
    10.1109/TAC.2011.2160597
    ISSN
    0018-9286
    School
    Department of Computing
    URI
    http://hdl.handle.net/20.500.11937/35264
    Collection
    • Curtin Research Publications
    Abstract

    The problem of impulsive mode elimination for descriptor systems via a structured output proportional and derivative (P-D) feedback isinvestigated in this technical note. The motivation of solving this problem arises from an observation that the impulse behavior for some descriptorsystems can not be eliminated completely by a parameterized output P-D feedback, but it can be removed by a structured P-D feedback elegantly designed. In order to explain this phenomenon explicitly, a concept of the structured P-D feedback is first introduced, then an explicit necessary and sufficient condition is constructively derived for the closed loop systems to be regular and impulse-free by the structured P-D feedback. The main result is represented in terms of the original system parameters instead of decomposed subsystem parameters. Finally, an example is provided to illustrate the effectiveness of the proposed result.

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