Approximation and synthesis of non integer order systems

Abdelbaki Djouambi (1) , Abdelfatah Charef (1) , Alina Voda (1)

1 LAG - Laboratoire d'automatique de Grenoble

This paper presents a new method to approximate and to synthesize fractional systems represented by an explicit transfer function. We first present the distribution of relaxation times function method to approximate this type of function and hopefully to make circuit designers more aware of these advantages when designing fractal system circuits and fractal filters. Computer simulations of the circuit model by B²SPICE were used to demonstrate clearly our derivation results. An analog circuit model of the foster network can be synthesized.

Keywords: Distribution of Relaxation Times; Fractional systems; Approximation; Identification; Distribution of Relaxation Times.

Domains: Automatic

Abdelbaki Djouambi, Abdelfatah Charef, Alina Voda. Approximation and synthesis of non integer order systems. 2nd IFAC Workshop on Fractional Differentiation and its Applications, FDA06, 2006, Porto, Portugal. ⟨hal-00126275⟩