System reduction using eigen spectrum analysis and Padé approximation technique
- 1 December 2007
- journal article
- research article
- Published by Informa UK Limited in International Journal of Computer Mathematics
- Vol. 84 (12), 1871-1880
- https://doi.org/10.1080/00207160701345566
Abstract
A mixed method is proposed for deriving reduced-order models of high-order linear time invariant systems using the combined advantages of eigen spectrum analysis and the Padé approximation technique. The denominator of the reduced-order model is found by eigen spectrum analysis, the dynamics of the numerator are chosen using the Padé approximation technique. This method guarantees stability of the reduced model if the original high-order system is stable. The method is illustrated by three numerical examples.Keywords
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