Optimal expansion of linear system using generalized orthogonal basis

Author

Mbarek, Abdelkader ; Bouzrara, Kais ; Messaoud, Hassani

Author_Institution

Ecole Nat. d´Ing. de Monastir, Univ. de Monastir, Monastir, Tunisia

fYear

2013

fDate

21-23 March 2013

Firstpage

1

Lastpage

6

Abstract

This paper proposes a new method for determining the optimal pole of generalized orthonormal basis (GOB) which leads to an optimal system model developed on such basis. This optimal pole is obtained by solving a set of non linear equations. The proposed procedure is formulated for single-input/single-output (SISO) systems. The proposed algorithm is tested on simulations and good performances in term of approximation and calculus time are obtained.

Keywords

approximation theory; linear systems; nonlinear equations; pole assignment; GOB; SISO systems; approximation; calculus time; generalized orthogonal basis; generalized orthonormal basis; linear system; nonlinear equations; optimal expansion; optimal pole; optimal system model; single-input-single-output systems; Biological system modeling; Equations; Estimation; Mathematical model; Optimization; Transfer functions; Vectors; General Orthonormal bases filters; Identification; MISO system; SISO system; parameters; poles;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Engineering and Software Applications (ICEESA), 2013 International Conference on

Conference_Location

Hammamet

Print_ISBN

978-1-4673-6302-0

Type

conf

DOI

10.1109/ICEESA.2013.6578448

Filename

6578448