Journal of Advanced Research

Journal of Advanced Research

Volume 25, September 2020, Pages 191-203
Journal of Advanced Research

Research Article
Event-based fractional order control

https://doi.org/10.1016/j.jare.2020.06.024Get rights and content
Under a Creative Commons license
open access

Abstract

The present study provides a generalization of event-based control to the field of fractional calculus, combining the benefits brought by the two approaches into an industrial-suitable control strategy. During recent years, control applications based on fractional order differintegral operators have gained more popularity due to their proven superior performance when compared to classical, integer order, control strategies. However, the current industrial setting is not yet prepared to fully adapt to complex fractional order control implementations that require hefty computational resources; needing highly-efficient methods with minimum control effort. The solution to this particular problem lies in combining benefits of event-based control such as resource optimization and bandwidth allocation with the superior performance of fractional order control. Theoretical and implementation aspects are developed in order to provide a generalization of event-based control into the fractional calculus field. Different numerical examples validate the proposed methodology, providing a useful tool, especially for industrial applications where the event-based control is most needed. Several event-based fractional order implementation possibilities are explored, the final result being an event-based fractional order control methodology.

Keywords

Fractional calculus
Fractional order control
Event-based control

2010 MSC

26A33
60G22
90C32

Cited by (0)

Peer review under responsibility of Cairo University.