Realization of fractional-order proportional-integral-derivative controller using fractance circuit

Abstract EN

This paper concerned with the realization of fractional-order proportional-integral-derivative (FOPID) by electronic circuit utilizing the syntheses of a fractance circuit that can be connected on operational amplifier (OPAMP) either in the input or the output feedback of OPAMP circuit.

Where the fractional-order derivative (FD) and fractional-order integral (FI) have been approximated to integer order rational transfer function depending on Carlson method.

The continued fractional expansion (CFE) and partial fraction expansion have been performed on the FI and FD approximated transfer function to synthesize the fractance circuit.

The analog electronic circuit has been simulated using circuit wizard to realize the FD, FI, and FOPID circuits.

The time domain response has been tested with sine wave input.

The Bode plot for both real FD and FI with that the approximated one has been drawn.