The bilinear method: a new stability-preserving order reduction approach

T. Nigel Lucas

    Research output: Contribution to journalArticlepeer-review

    5 Citations (Scopus)
    323 Downloads (Pure)


    A new way of reducing the order of linear system transfer functions is presented. It guarantees stability in the approximation of stable systems and differs from existing stability-preserving methods by taking into account whole system parameter information when obtaining the approximate poles, not just that of the system poles. It uses a bilinear transformation in the process, which renders the method more flexible than traditional techniques. Examples are given to highlight the advantages of the new approach.
    Original languageEnglish
    Pages (from-to)429-436
    Number of pages8
    JournalProceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering
    Issue number5
    Publication statusPublished - 2002


    • System order reduction
    • Stability preservation
    • Bilinear mapping
    • Markov parameters


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