The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems

O.V. Iftime, Heiko J. Zwart

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    Abstract

    In this paper we provide sufficient conditions for the solvability of the standard $H_{\infty}$-suboptimal control problem for linear, time invariant, infinite-dimensional systems with finite-dimensional input and output spaces. The sufficient conditions are formulated in terms of the existence of two $J$-lossless factorizations. For the Wiener algebra class of the transfer functions an algorithm for solving $J$-spectral factorization is given.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Publication statusPublished - 2000

    Publication series

    Name
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1532
    ISSN (Print)0169-2690

    Keywords

    • MSC-93B36
    • MSC-93C20
    • IR-65719
    • MSC-47A68
    • EWI-3352
    • MSC-93C80

    Cite this

    Iftime, O. V., & Zwart, H. J. (2000). The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems. Enschede: University of Twente, Department of Applied Mathematics.