The generalized matrix continued-fraction descriptions and their application to model simplification†

Abstract

This paper presents two generalized matrix continued-fraction descriptions in the second Cauer form from a transfer function matrix and/or matrix fraction descriptions which may contain non-square and/or non-regular polynomial matrices. It also presents two model reduction techniques for model simplification of high-degree non-square transfer function matrices and matrix fraction descriptions. The expansion algorithms as well as the inversion algorithms for the generalized matrix continued-fraction descriptions are derived. Two model reduction techniques, which are the matrix continued-fraction expansion method and the mixed method of the matrix continued-fraction expansion method and the equivalent-dominant pole method, are developed for model simplification of multivariable control systems.

Notes

†This work was supported in part by the U.S. Army Research Office, under research contract, DAAG 29-83-K-0037, and the U.S. Army Missile R&D Command, under research contract, DAAH 0I-85-C-A111.

Additional information

Notes on contributors

FAN-REN CHANG

Dr Chang is now with the Department of Electrical Engineering, National Taiwan University, Taipei, Taiwan, R.O.C.