A systematic procedure for deriving RC networks of fractional-order elements emulators using MATLAB

The behavior of a fractional-order capacitors can be approximated using appropriately configured RC networks, which implement an integer-order impedance/admittance function. In this paper, the Foster I and II as well as the Cauer I and II structures are systematically derived using the MATLAB software. In addition, the emulation of fractional-order inductors using RC emulators of fractional-order capacitors and Generalized Impedance Converter is performed. The behavior of the derived RC networks is evaluated and compared through a design example, using the OrCAD PSpice software, in order to choose the most appropriate among them.