Reduced-Order Modelling Using PRONY’s Approximation Method

摘要

In this paper, we propose a new model-order reductionrntechnique for linear dynamic systems. The idea behind thisrntechnique is to transform the dynamic system function fromrnthe s-domain into the z-domain via the bilinear transformation,rnthen use Prony’s [1] least-squares approximationrnmethod instead of the commonly employed Pad′e approximationrnmethod, and finally transform the reduced systemrnback into the s-domain using the inverse bilinear transformation.rnSimulation results for large practical systems showrnthat this technique based on Prony’s method gives muchrnhigher accuracy than the traditional Pad′e method, and resultsrnin lower-order approximations without significant increasernin simulation time.