Delayed time varying singular systems analysis using legendre polynomials

Author

Zeynabi, A. ; Shafiee, M.

fYear

2013

fDate

28-30 Dec. 2013

Firstpage

203

Lastpage

208

Abstract

In this paper, we discussed the methods of approximating delayed time varying singular systems response using legendre orthogonal functions. At first properties of delayed legender polynomials are introduced such as the operational integral, delay, delayed integral and product matrixes which are required to convert differential algebraic equations to fully algebraic equations. Then our method for approximating delayed time varying singular systems by using the properties of orthogonal polynomials, is explained. Finally numerical examples are given to show the validity and accuracy of this proposal method.

Keywords

delays; differential algebraic equations; polynomials; time-varying systems; delayed integral; delayed time varying singular systems analysis; differential algebraic equations; legendre orthogonal functions; legendre polynomials; operational integral; orthogonal polynomials; product matrixes; time varying singular systems; Approximation methods; Delays; Matrix converters; Polynomials; Time-varying systems; Vectors; Product operational matrix; delay; keywords; orthogonal function; singular system; time varying;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Instrumentation, and Automation (ICCIA), 2013 3rd International Conference on

Conference_Location

Tehran

Type

conf

DOI

10.1109/ICCIAutom.2013.6912835

Filename

6912835