Vibrational resonance in a fractional order system with asymmetric bistable potential and time delay feedback

2021 ◽  
Author(s):  
Keya Zhao ◽  
Lijuan Ning
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Fractional Order System ◽  
Order System ◽  
Vibrational Resonance ◽  
Bistable Potential

scholarly journals Dynamic anti‐windup compensator for fractional‐order system with time‐delay

2019 ◽  
Vol 22 (5) ◽  
pp. 1767-1781
Author(s):  
Talar Sadalla ◽  
Dariusz Horla ◽  
Wojciech Giernacki ◽  
Piotr Kozierski
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Fractional Order System ◽  
Order System ◽  
System With Time Delay

scholarly journals A New Design Method for PI-PD Control of Unstable Fractional-Order System with Time Delay

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Min Zheng ◽  
Tao Huang ◽  
Guangfeng Zhang
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Graphical Method ◽  
Stability Boundary ◽  
Fractional Order System ◽  
Stable Region ◽  
Order System ◽  
Pd Controller ◽  
The Stability ◽  
System With Time Delay

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.

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