0
TECHNICAL BRIEFS

Stable Reduction of Linear Discrete-Time Systems Via a Multipoint Tangent Phase CFE

[+] Author and Article Information
Chyi Hwang, Muh-Yang Chen

Department of Chemical Engineering, National Cheng Kung University, Tainan, Taiwan 70101, Republic of China

J. Dyn. Sys., Meas., Control 109(3), 291-294 (Sep 01, 1987) (4 pages) doi:10.1115/1.3143857 History: Received November 20, 1986; Online July 21, 2009

Abstract

This paper presents a procedure of linear discrete-time system reduction via a multipoint tangent phase continued-fraction expansion (CFE). The model reduction approach followed starts by transforming the z-domain tangent phase function into the u-domain one using the u-transformation u = z−1 + z. Subsequently, the u-domain tangent phase function is expanded into a multipoint continued fractions. The desired reduced z-transfer function is finally obtained by factorizing the truncated and inverted u-domain multipoint tangent phase CFE approximant. The main feature of the proposed method is that it not only guarantees the stability but also gives good overall approximations to both frequency and time responses of the given system.

Copyright © 1987 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In