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

T. Nigel Lucas

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)
190 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


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