Article ID Journal Published Year Pages File Type
4633166 Applied Mathematics and Computation 2008 12 Pages PDF
Abstract

This article deals with modeling, simulation, identification and model reduction of non-integer systems in time domain. The fractional order system simulation is based on a fractional integrator operating on a limited spectral range. It allows approximating the fractional system by an integer state-space representation of high dimension. An output error method is used to perform the model parameters identification including the fractional order. Non-integer order systems known to exhibit long memory behavior require high dimensional models to represent them. In this paper, an iterative non-linear programming method is used to perform the approximation reduction and numerical simulations illustrate the efficiency of the reduced model to recover the fractional order system characteristics.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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