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

T. Nigel Lucas

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Abstract

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
Volume216
Issue number5
DOIs
StatePublished - 2002

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Poles
Transfer functions
Linear systems

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abstract = "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.",
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