LAUSR

In this paper, we authors propose to use an optimization technique known as Differential Evolution (DE) optimizer for the approximation of fractional-order systems with rational functions of low order. Usual integer-order models with eleven unknown parameters are optimized to represent non-integer-order systems using the DE algorithm. Four numerical examples have illustrated the efficiency of the proposed reduced-order approximation algorithm. The results obtained from the DE approach were compared with those of Oustaloup and Charef approximation techniques for fractional-order transfer functions. They showed clearly that the proposed approach provides a very competitive level of performance with a reduced model order and less parameters.