REALIZATION OF FRACTIONAL ORDER PID CONTROLLER USING FRACTANCE CIRCUIT

Abstract

This paper concerned with realization of fractional order PID (FOPID) by electronic circuit utilizing the syntheses of a fractance circuit that can be connected on operational amplifier either in the input or the output feedback of operational amplifier (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 continuous fractional expansion (CFE) and partial fraction expansion (PE) have been utilized on the (FI) and FD approximated transfer function to synthesis the fractance circuit. The analogue 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.