Partial-Fraction Expansion Based Frequency Weighted Model Reduction Technique with Error Bounds

A. Ghafoor, Victor Sreeram

    Research output: Contribution to journalArticlepeer-review

    21 Citations (Scopus)

    Abstract

    In this technical note, we present a new frequency weighted balancing related technique which is based on a parametrized combination of the unweighted balanced truncation technique [9], [8] and the partial fraction expansion technique [11]. The reduced-order models which are guaranteed to be stable in the case of double-sided weighting, are obtained by either direct truncation or singular perturbation approximation. Simple, elegant and easily computable a priori error bounds are also derived. Numerical examples and comparison with other well-known techniques show the effectiveness of the proposed technique.
    Original languageEnglish
    Pages (from-to)1942-1948
    JournalIEEE Transactions on Automatic Control
    Volume52
    Issue number10
    DOIs
    Publication statusPublished - 2007

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