The bilinear method: a new stability-preserving order reduction approach
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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.
Lucas, T.N. 2002. The bilinear method: a new stability-preserving order reduction approach. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering. 216(5): pp.429-436. Available from http://journals.pepublishing.com/content/f8n42477g826x831/?p=f63a0eb8fc4d4b19b76467229193b925&pi=3