A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay. (30th October 2019)

• Record Type: Journal Article
• Authors: Zheng, Min; Huang, Tao; Zhang, Guangfeng
• Other Names: Kim Wonhee Guest Editor.
• Is Part Of: Complexity. Volume 2019(2019)
• Publication Date: 2019-10-30
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2019/3253497
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : In this paper, a practical PI-PD controller parameter tuning method is proposed, which uses the incenter of the triangle and the Fermat point of the convex polygon to optimize the PI-PD controller. Combined with the stability boundary locus method, the PI-PD controller parameters that can ensure stability for the unstable fractional-order system with time delay are obtained. Firstly, the parameters of the inner-loop PD controller are determined by the centre coordinates of the CSR in the k d − k f plane. Secondly, a new graphical method is used to calculate the parameters of the PI controller, in which Fermat points in the CSR of (k p − k i ) plane are selected. Furthermore, the method is extended to uncertain systems, and the PI-PD controller parameters are obtained by using the proposed method through common stable region of all stable regions. The proposed graphical method not only ensures the stability of the closed-loop system but also avoids the complicated optimization calculations. The superior control performance of this method is illustrated by simulation.