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Multivariable fractional system approximation with initial conditions using integral state space representation
Journal article   Peer reviewed

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

Mansouri Rachid, Bettayeb Maamar and Djennoune Said
Computers & mathematics with applications (1987), Vol.59(5), pp.1842-1851
01/03/2010
DOI: https://doi.org/10.1016/j.camwa.2009.08.024

Abstract

Fractional multivariable system Fractional system approximation Initial Conditions Integral representation State space representation
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.

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