By Topic

A multipoint continued-fraction expansion for linear system reduction

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Hwang, Chyi ; National Cheng Kung University, Taiwan, Republic of China ; Chen, Muh-Yang

This note presents a multipoint continued-fraction expansion (MCFE) to obtain reduced models for linear time-invariant systems. Algorithms for the expansion and inversion of the MCFE are outlined. A realization for the MCFE of a transfer function is suggested, and the corresponding MCFE canonical state-space model is established. A new similarity transformation matrix is constructed to transform a state-space model in the phase-variable canonical form to one in the MCFE canonical form. The attractive feature of the present MCFE is that it is general in form and the resulting reduced models approximate well the original system in both the frequency and time responses.

Published in:

Automatic Control, IEEE Transactions on  (Volume:31 ,  Issue: 7 )