Title :
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
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;
Conference_Titel :
Electrical Engineering and Software Applications (ICEESA), 2013 International Conference on
Conference_Location :
Hammamet
Print_ISBN :
978-1-4673-6302-0
DOI :
10.1109/ICEESA.2013.6578448