Parameter tuning of a fractional-order PI controller using the ITAE criteria

Abstract

This paper presents a new strategy for tuning fractional PI controllers. The method consist of using the diffusive representation to carry out the fractional order system and in minimizing the integral time absolute error (ITAE) performance index criterion. The fractional controller parameters are reached by using conventional optimization algorithm. An illustrative example is presented to demonstrate the effectiveness of the proposed method. Step responses of the controlled system obtained with fractional PI controller is more robust to gain variations than those obtained with traditional PI controller.