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Review
. 2020 Jul 3:25:191-203.
doi: 10.1016/j.jare.2020.06.024. eCollection 2020 Sep.

Event-based fractional order control

Isabela Birs  1   2   3 , Ioan Nascu  1 , Clara Ionescu  2   3 , Cristina Muresan  1
Affiliations
Review

Event-based fractional order control

Isabela Birs et al. J Adv Res. .

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: 26A33; 60G22; 90C32; Event-based control; Fractional calculus; Fractional order control.

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Figures

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Graphical abstract
Fig. 1
Fig. 1
Context awareness management.
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Fig. 2
Event based implementation principles.
Fig. 3
Fig. 3
A fractional order PI controller applied to a FOPDT process.
Fig. 4
Fig. 4
A fractional order PID controller applied to a SOTF process.
Fig. 5
Fig. 5
A fractional order PI controller applied to a SOPTD process.
Fig. 6
Fig. 6
Closed-loop system performance analysis for varying parameters of the event-based CFE implementation.
Fig. 7
Fig. 7
Closed-loop system performance analysis for disturbance rejection of the event-based Muir implementation.
Fig. 8
Fig. 8
Closed-loop system performance analysis for robustness of the event-based Muir implementation.
Fig. 9
Fig. 9
A fractional order PD controller applied to a FOTF process.
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References

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