Model Reduction Via Laguerre Polynomial Technique

[+] Author and Article Information
Chyi Hwang

Department of Chemical Engineering, National Cheng Kung University, Tainan, Taiwan, Republic of China

Yen-Ping Shih

Department of Chemical Engineering and Technology, National Taiwan Institute of Technology, Taipei, Taiwan, Republic of China

J. Dyn. Sys., Meas., Control 105(4), 301-304 (Dec 01, 1983) (4 pages) doi:10.1115/1.3140676 History: Received December 03, 1981; Online July 21, 2009


In this paper, a recursive algorithm is derived for computing the Laguerre spectra of a truncated Laguerre series which approximately represents the response of a system characterized by a transfer function model. Based on the minimization of the sum squared-error of a set of Laguerre spectrum equations of the model parameters, a model reduction method is proposed. The method is computationally attractive. An illustrative example is given. The method is also applied to design a model-reference feedback control system.

Copyright © 1983 by ASME
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