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- Title
A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay.
- Authors
Min Zheng; Tao Huang; Guangfeng Zhang
- 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 PIPD 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 kd - kf plane. Secondly, a new graphical method is used to calculate the parameters of the PI controller, in which Fermat points in the CSR of (kp - ki) 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.
- Subjects
TIME delay systems; CLOSED loop systems; UNCERTAIN systems; POLYGONS; SOCIAL responsibility of business
- Publication
Complexity, 2019, p1
- ISSN
1076-2787
- Publication type
Article
- DOI
10.1155/2019/3253497