![](/images/graphics-bg.png)
A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay
Joint Authors
Zheng, Min
Huang, Tao
Zhang, Guangfeng
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-10-30
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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 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.
American Psychological Association (APA)
Zheng, Min& Huang, Tao& Zhang, Guangfeng. 2019. A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay. Complexity،Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1131370
Modern Language Association (MLA)
Zheng, Min…[et al.]. A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay. Complexity No. 2019 (2019), pp.1-12.
https://search.emarefa.net/detail/BIM-1131370
American Medical Association (AMA)
Zheng, Min& Huang, Tao& Zhang, Guangfeng. A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay. Complexity. 2019. Vol. 2019, no. 2019, pp.1-12.
https://search.emarefa.net/detail/BIM-1131370
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131370