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Optimal approximation simulation and analog realization of the fundamental fractional order transfer function

Abdelbaki DjouambiAbdelfatah CharefAlina Voda besancon — 2007

International Journal of Applied Mathematics and Computer Science

This paper provides an optimal approximation of the fundamental linear fractional order transfer function using a distribution of the relaxation time function. Simple methods, useful in systems and control theories, which can be used to approximate the irrational transfer function of a class of fractional systems fora given frequency band by a rational function are presented. The optimal parameters of the approximated model are obtained by minimizing simultaneously the gain and the phase error between...

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