Selection of a single uniquely specifiable ℋ∞ controller in the chain-scattering framework

Alexander Lanzon, Brina Do Anderson, Xavier Bombois

    Research output: Contribution to journalArticlepeer-review

    Abstract

    This paper studies the notion of central ℋ∞ controllers in the chain-scattering framework. Since in the chain-scattering framework the ℋ∞ control problem is equivalent to a factorisation problem that yields non-unique factors, it is important to somehow pin down these factors so that the resulting central controller is uniquely defined and corresponds to the central and minimum-entropy controller frequently discussed in the literature. In so doing, we devise a procedure for the selection of a single uniquely specifiable ℋ∞ controller in the chain-scattering framework. The chain-scattering framework is important because it has a distinct advantage over state-space based methods for some applications in that it poses and solves the ℋ∞ control problem entirely in an operator-theoretic setting, thereby allowing us to contemplate direct changes of the frequency domain symbols rather than changes in the corresponding state-space matrices. © 2004 Elsevier Ltd. All rights reserved.
    Original languageEnglish
    Pages (from-to)985-994
    Number of pages9
    JournalAutomatica
    Volume40
    Issue number6
    DOIs
    Publication statusPublished - Jun 2004

    Keywords

    • ℋ∞-control
    • Central controller
    • Chain-scattering
    • J-Lossless factorisation
    • Minimum entropy controller

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