fractional integrator
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2021 ◽  
Vol 60 (4) ◽  
pp. 3721-3729
Author(s):  
Ali Akgül ◽  
Shabir Ahmad ◽  
Aman Ullah ◽  
Dumitru Baleanu ◽  
Esra Karatas Akgül

Electronics ◽  
2021 ◽  
Vol 10 (15) ◽  
pp. 1767
Author(s):  
Jerzy Baranowski ◽  
Waldemar Bauer ◽  
Rafał Mularczyk

Fractional calculus has found multiple applications around the world. It is especially prevalent in the domains of control and electronics. One of the key elements of fractional applications is the fractional integral (or integrator) which is a backbone of famous PIλD controller. It gives advantages of traditional PID with a limited phase lag. The are, however, issues with implementation, which will allow good low-frequency behavior. In this paper, we consider a diffusive realization of a fractional integrator with the use of quadratures. We implemented this method in numerical package SoftFrac, and we illustrate how different quadratures work for this purpose. We show superiority of bounded domain integration with logarithmic transformation and explain issues with behavior for extremely low frequencies.


2020 ◽  
Vol 4 (3) ◽  
pp. 34
Author(s):  
Dina A. John ◽  
Saket Sehgal ◽  
Karabi Biswas

In this paper, the performance of an analog PI λ D μ controller is done for speed regulation of a DC motor. The circuits for the fractional integrator and differentiator of PI λ D μ controller are designed by optimal pole-zero interlacing algorithm. The performance of the controller is compared with another PI λ D μ controller—in which the fractional integrator circuit employs a solid-state fractional capacitor. It can be verified from the results that using PI λ D μ controllers, the speed response of the DC motor has improved with reduction in settling time ( T s ), steady state error (SS error) and % overshoot (% M p ).


2020 ◽  
Vol 8 (3) ◽  
pp. 943-951
Author(s):  
K. Zourmba ◽  
C. Fischer ◽  
B. Gambo ◽  
J. Y. Effa ◽  
A. Mohamadou

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