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TECHNICAL BRIEFS

SISO Continuous-System Reduction via Impulse Response Gramian by Iterative Formulae

[+] Author and Article Information
Younseok Choo

Department of Electronic and Electrical Engineering, Hongik University, San34 Sinan-Ri Jochiwon-Eup Yeongi-Gun Chungnam, 339-701, Koreayschoo@wow.hongik.ac.kr

Dongmin Kim

Department of Electronic and Electrical Engineering, Hongik University, San34 Sinan-Ri Jochiwon-Eup Yeongi-Gun Chungnam, 339-701, Korea

J. Dyn. Sys., Meas., Control 128(2), 391-393 (May 22, 2005) (3 pages) doi:10.1115/1.2194075 History: Received October 09, 2003; Revised May 22, 2005

This paper concerns the order reduction of single-input single-output (SISO) linear time-invariant continuous systems based on the impulse response Gramian. From the recursive relationship among the Gramians, a new formula is derived for computing the system matrix in controllability canonical form. The result is applied to the model reduction problem. Reduced models obtained approximate the reduced-order Gramians while preserving some initial time moments and Markov parameters of the original system.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 2

Comparison of frequency responses

Grahic Jump Location
Figure 1

Comparison of unit-step responses

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