The apparently different approaches of least-squares parameter-matching Podé model reduction methods are shown to be related via a unifying theory. From the formulation it is possible to show several interesting features of the least-squares approach which lead to a fuller understanding of exactly how the reduced model approximates the system. An error index is derived for the general case and it is shown that a range of system parameter preservation options are available to the user. A numerical example illustrates the main points of the paper.
|Journal||Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering|
|Publication status||Published - 1 May 1996|
Smith, I. D., & Lucas, T. N. (1996). A unifying theory of least‐squares Padé model reduction methods. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 210(2), 95-102. https://doi.org/10.1243/PIME_PROC_1996_210_442_02