Design of Robust Fractional Order Proportional Integral Controller Based on Vector Method

Abstract: This paper detailedly discusses the geometry idea, design steps and algorithm implementation in designing a FOPI controller based on a vector method. It takes first order controlled plant, first order plus time delay controlled plant and fractional order plant as examples, using traditional method and vector method to solve the parameters of the FOPI controller. The results show that the vector method has the same dynamic response performance as the traditional method, which demonstrates the reasonability of the vector method. Compared with traditional method, the FOPI controller design method based on the geometry idea (vector method) is simpler and more convenient. Besides, the proposed method overcomes the traditional phenomenon of multiple solutions of controller parameters.