✦ LIBER ✦

Time-domain simplification of linear time-invariant systems using cauer continued-fraction expansion about sa and s0 alternately

✍ Scribed by Chee-Fai Yung; Chyi Hwang

Publisher: Elsevier Science
Year: 1986
Tongue: English
Weight: 373 KB
Volume: 321
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(86)90004-9

No coin nor oath required. For personal study only.

✦ Synopsis

A simple time-domain procedure is presented for deriving simplified models for linear time-invariant systems. It is based on deriving a new realization form for the Cauer continuedfraction expansion about s = a and s = 0 alternately. A new similarity transformation is also developed which can be used to construct approximate aggregation matrices for the reduced order models obtained by the proposed procedure. Particularly when the original statespace model is in a phase-variable canonicalform, the similarity matrix is given explicitly.