Title :
Experiment design in system identification using fractional models
Author :
Malti, Rachid ; Abrashov, Sergey ; Moze, Mathieu ; Moreau, Xavier
Author_Institution :
IMS, Bordeaux Univ., Talence, France
Abstract :
This paper tackles the problem of experiment design in system identification using elementary fractional models. It is based on a frequency domain approach and answers the question: what is the best sinusoidal input signal maximizing the D-optimality criterion of the Fisher information matrix in different contexts? First, a single parameter is assumed to be unknown (any of the parameters of the elementary transfer functions). Then multiple parameters and their combinations are supposed to be unknown.
Keywords :
design of experiments; identification; D-optimality criterion; Fisher information matrix; elementary fractional models; experiment design; frequency domain approach; sinusoidal input signal; system identification; Ellipsoids; Frequency estimation; Monte Carlo methods; Noise; Optimized production technology; Resonant frequency; Transfer functions; Experiment design; Fisher Information matrix; fractional models; system identification;
Conference_Titel :
Fractional Differentiation and Its Applications (ICFDA), 2014 International Conference on
Conference_Location :
Catania
DOI :
10.1109/ICFDA.2014.6967400