Lumped and Distributed Parameter System Identification Via Shifted Legendre Polynomials

[+] Author and Article Information
B. M. Mohan, K. B. Datta

Department of Electrical Engineering, Indian Institute of Technology, Kharagpur-721302, India

J. Dyn. Sys., Meas., Control 110(4), 436-440 (Dec 01, 1988) (5 pages) doi:10.1115/1.3152709 History: Received April 01, 1987; Online July 21, 2009


In this paper, one shot operational matrix for repeated integration of the shifted Legendre polynomial basis vector is developed and double-shifted Legendre series is introduced to approximate functions of two independent variables. Then using these, systematic algorithms for the identification of linear time-invariant single input-single output continuous lumped and distributed parameter systems are presented. Illustrative examples are provided with satisfactory results.

Copyright © 1988 by ASME
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