Multivariable fractional system approximation with initial conditions using integral state space representation

Authors:
Mansouri Rachid;Bettayeb Maamar;Djennoune Said
Affiliations:
Laboratoire de Conception et Conduite des Systèmes de Production, University Mouloud Mammeri of Tizi-Ouzou, Algeria;Department of Electrical & Computer Engineering, University of Sharjah, United Arab Emirates;Laboratoire de Conception et Conduite des Systèmes de Production, University Mouloud Mammeri of Tizi-Ouzou, Algeria
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

In this paper, we consider the approximation of general multivariable non commensurate fractional systems by integer order state space models. This work contains two main contributions. First, a new state space representation using the fractional integral operator is introduced. Second, the approximate model carries explicitly the initial conditions of the system. Two examples are given to illustrate the accuracy of the approximation.