14th IFAC Symposium on System Identification, SYSID 2006

SYSID-2006 Paper Abstract


Paper ThA2.4

Malti, Rachid (Univ. Bordeaux1), Aoun, Mohamed (Univ. Bordeaux1), Sabatier, Jocelyn (Univ. Bordeaux 1), Oustaloup, Alain (Univ. Bordeaux1)

Tutorial on System Identification Using Fractional Differentiation Models

Scheduled for presentation during the Regular Session "Identification of Linear Systems II" (ThA2), Thursday, March 30, 2006, 11:30−11:50, Banquet Room

14th IFAC Symposium on System Identification, March 29 - 31, 2006, Newcastle, Australia

This information is tentative and subject to change. Compiled on September 24, 2018

Keywords Continuous Time System Estimation


This paper presents a tutorial on system identification using fractional differentiation models. The tutorial starts with some general aspects on time and frequency-domain representations, time-domain simulation, and stability of fractional models. Then, an overview of system identification methods using fractional models is presented. Both equation-error and output-error-based models are detailed. In the former models, a priori knowledge is generally used to fix differentiation orders; model coefficients are estimated using least squares. The latter models allow simultaneous estimation of model's coefficients and differentiation orders carried out using non linear programming techniques. Copyright 2006 IFAC.