RESEARCH PAPERS: Additional Technical Papers

Stable Linear Systems Simplification Via Padé Approximations to Hurwitz Polynomials

[+] Author and Article Information
Y. Bistritz, U. Shaked

School of Engineering, Tel Aviv University, Tel Aviv, Israel

J. Dyn. Sys., Meas., Control 103(3), 279-284 (Sep 01, 1981) (6 pages) doi:10.1115/1.3140639 History: Received April 28, 1981; Online July 21, 2009


In many problems of control and simulation of a high order system, it is often advantageous to have an appropriate lower order model for approximate design. Introducing the concept of (mixed) Padé approximations to Hurwitz polynomials, a novel method for linear time invariant system simplification is established. The method offers many models of the same order that are stable for a stable system, approximate a desired number of the system eigenvalues near to and far from the origin, and emphasize differently the approximation of the low frequency/steady-state and high frequency/transient responses of the system. The presented method is based entirely on a simple unified Padé technique.

Copyright © 1981 by ASME
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