Design and Simulation of Fractional Order Control Systems Based on Bode's Ideal Transfer Function

Abstract

The fractional order calculus theory and its modeling methods have been applied widely in control field. And design of fractional order control systems become hot point of recent years. This paper establishes fractional order systems which parameters are obtained by Bode’s ideal transfer function method to get the desired frequency response. Apply this method a new control structure of fractional order pseudo-derivative feedback (FOPDF) is suggested. Control methods are designed for integral first order system and for fractional first order system, and apply to a real high power semiconductor laser diodes constant temperature controlling system and the hydraulic servo systems and the electric drive system, the simulation results indicate that the effectiveness and validity of this method.