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    Global stabilization for ball-and-beam systems via state and partial state feedback

    Access Status
    Open access via publisher
    Authors
    Ye, H.
    Xu, Honglei
    Date
    2016
    Type
    Journal Article
    
    Metadata
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    Citation
    Ye, H. and Xu, H. 2016. Global stabilization for ball-and-beam systems via state and partial state feedback. Journal of Industrial and Management Optimization. 12 (1): pp. 17-29.
    Source Title
    Journal of Industrial and Management Optimization
    DOI
    10.3934/jimo.2016.12.17
    ISSN
    1547-5816
    School
    Department of Mathematics and Statistics
    URI
    http://hdl.handle.net/20.500.11937/31130
    Collection
    • Curtin Research Publications
    Abstract

    In this paper, we present new state and partial state feedback laws as global stabilizers of the well-knownfrictionless ball and beam system. Dealing with nonlinear terms in the manner different from the ones in the literature, we have achieved a new, simple state-ependent saturation control law. The key technique is to assign asuitable state-dependent saturation level function and jointly use the computation techniques of linear gains. Then, combining such a state feedback law with a homogeneous observer, we again obtain a new partial state feedback design.

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