Solution and Parameter Estimation in Linear Time-Invariant Delayed Systems Using Laguerre Polynomial Expansion

[+] Author and Article Information
Fan-Chu Kung, Hua Lee

Department of Electrical and Computer Engineering, University of California, Santa Barbara, Calif. 93106

J. Dyn. Sys., Meas., Control 105(4), 297-301 (Dec 01, 1983) (5 pages) doi:10.1115/1.3140675 History: Received May 06, 1982; Online July 21, 2009


Finite dimensional Laguerre polynomial expansion can be applied to approximate the solution of linear time-invariant systems. Here, we extend this approach to systems with small time delay by introducing a delay matrix operator to the system equations. In addition, parameters of linear unity-feedback systems with small time delay can also be estimated by using the Laguerre expansion. In this paper we provide algorithms for large scale systems to avoid direct matrix inversion and give examples to demonstrate the approximation.

Copyright © 1983 by ASME
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