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Multi-loop periodic event-triggered actuation: applications to PID, cascade, and decoupling control
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).ORCID iD: 0000-0001-6809-6035
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).ORCID iD: 0000-0001-9940-5929
2022 (English)In: International Journal of Control, ISSN 0020-7179, E-ISSN 1366-5820, p. 1-16Article in journal (Refereed) Published
Abstract [en]

This paper studies periodic event-triggered actuation applied to PID, cascade, and decoupling control. We propose an event-triggered output feedback controller, in which the control command is actuated only when it exceeds its previous value by a certain threshold. An exponential stability condition is derived in the form of LMIs using a Lyapunov–Krasovskii functional based on Wirtinger's inequality. It is shown that an observer-based controller can reject an unknown step disturbance. Using this result, we propose a way to tune the event threshold subject to a given stability margin. We apply the proposed framework to PID, cascade, and decoupling control to illustrate how the event thresholds can be tuned in practice. Numerical examples show for these three control architectures how controller–actuator communication can be reduced without performance degradation. 

Place, publisher, year, edition, pages
Informa UK Limited , 2022. p. 1-16
Keywords [en]
event-triggered control, LMI, networked control systems, PID control, Sampled-data control, Cascade control systems, Controllers, Linear matrix inequalities, Sampled data control systems, Cascade control, Control command, Decoupling controls, Event-triggered, Event-triggered controls, Lyapunov-Krasovskii's functional, Multiloop, Output feedback controller, Stability condition, Three term control systems
National Category
Control Engineering Other Electrical Engineering, Electronic Engineering, Information Engineering Renewable Bioenergy Research
Identifiers
URN: urn:nbn:se:kth:diva-318409DOI: 10.1080/00207179.2021.2016977ISI: 000737660200001Scopus ID: 2-s2.0-85122254613OAI: oai:DiVA.org:kth-318409DiVA, id: diva2:1697535
Note

QC 20220921

Available from: 2022-09-21 Created: 2022-09-21 Last updated: 2022-09-21Bibliographically approved

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Iwaki, TakuyaJohansson, Karl H.

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Decision and Control Systems (Automatic Control)
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