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    Robust Optimal Control of Continuous Linear Quadratic System Subject to Disturbances

    Access Status
    Fulltext not available
    Authors
    Wu, Changzhi
    Wang, Xiangyu
    Teo, Kok Lay
    Jiang, L.
    Date
    2014
    Type
    Book Chapter
    
    Metadata
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    Citation
    Wu, C. and Wang, X. and Teo, K.L. and Jiang, L. 2014. Robust Optimal Control of Continuous Linear Quadratic System Subject to Disturbances. In Optimization and Control Methods in Industrial Engineering and Construction, ed. H. Xu, X. Wang, 11-34. Netherlands: Springer.
    Source Title
    Optimization and Control Methods in Industrial Engineering 11and Construction
    DOI
    10.1007/978-94-017-8044-5_2
    ISBN
    9789401780438
    School
    Department of Construction Management
    URI
    http://hdl.handle.net/20.500.11937/38496
    Collection
    • Curtin Research Publications
    Abstract

    In this chapter, the robust optimal control of linear quadratic system is considered. This problem is first formulated as a minimax optimal control problem. We prove that it admits a solution. Based on this result, we show that this infinite-dimensional minimax optimal control problem can be approximated by a sequence of finite-dimensional minimax optimal parameter selection problems. Furthermore, these finite-dimensional minimax optimal parameter selection problems can be transformed into semi-definite programming problems or standard minimization problems. A numerical example is presented to illustrate the developed method.

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