Design of Fractional-Order Integrator Controlled by Single Voltage Gain

Abstract

This work presents analyses of interaction of fractional- and integer-order transfer functions when their responses are added together by simple linear operation of sum. The mathematical background is very complex but practical consequences may be very useful for further design of electronically reconfigurable circuits including modification of shape of the resulting magnitude and phase responses. Described approach allows control of constant phase shift in limited operational bandwidth by single parameter that is documented by PSpice simulations with models of common of-the-shelf active elements.This work presents analyses of interaction of fractional- and integer-order transfer functions when their responses are added together by simple linear operation of sum. The mathematical background is very complex but practical consequences may be very useful for further design of electronically reconfigurable circuits including modification of shape of the resulting magnitude and phase responses. Described approach allows control of constant phase shift in limited operational bandwidth by single parameter that is documented by PSpice simulations with models of common of-the-shelf active elements.