Model Reduction and Control System Design by Shifted Legendre Polynomial Functions

[+] Author and Article Information
Rong-Yeu Chang, Maw-Ling Wang

Department of Chemical Engineering, National Tsing Hua University, Hsinchu, Taiwan, ROC

J. Dyn. Sys., Meas., Control 105(1), 52-55 (Mar 01, 1983) (4 pages) doi:10.1115/1.3139730 History: Received May 18, 1982; Online July 21, 2009


A method of model reduction for reducing a higher order transfer function to its lower order model is developed based on the shifted Legendre function approximation. The expansion coefficients of the shifted Legendre series which represents the approximate responses of transfer functions are computed by the recursive formula, via operational matrix approach. The significances of applying shifted Legendre function to model reduction problem are that the method is simple, straightforward and the computational results obtained are accurate as well as the final time of the control system can be adjustable without any restriction. Based on the model reduction technique, a new algebraic method is proposed for the design of a feedback control system to satisfy specifications. Illustrative examples are given and satisfactory results are obtained.

Copyright © 1983 by ASME
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