Stable Optimal Model Reduction of Linear Discrete-Time Systems

[+] Author and Article Information
N. N. Puri, M. T. Lim

Department of Electrical and Computer Engineering, Rutgers University, Piscataway, NJ 08855-0909

J. Dyn. Sys., Meas., Control 119(2), 300-304 (Jun 01, 1997) (5 pages) doi:10.1115/1.2801251 History: Received June 09, 1994; Online December 03, 2007


A new algorithm is presented for finding reduced-order models of the linear time-invariant systems. Proposed recursive algorithm minimizes a weighted mean squared impulse (or step) response error between the original system and the reduced order model. This proposed optimization algorithm require solving very easy linear equations rather than the usual complicated non-linear equations. The procedure guarantees a reduced order stable model at each recursive stage. Method is easily extended to multi-input/multi-output systems. Algorithm’s performance is compared with other methods reported in the literature.

Copyright © 1997 by The American Society of Mechanical Engineers
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