Periodic event-triggered control based on state feedback

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

54 Citations (Scopus)

Abstract

In this paper, a novel event-triggered control (ETC) strategy is proposed by striking a balance between periodic sampled-data control and ETC. This leads to so-called periodic event-triggered control (PETC), in which the advantage of reduced resource utilisation is preserved on the one hand, while, on the other hand, the conditions that trigger the events still have a periodic character. The latter aspect has the advantage that the event-triggering condition has to be verified only at the periodic sampling times, instead of continuously, as in conventional ETC. To analyse the stability and the L2-gain properties of the resulting PETC systems, two different approaches will be presented based on (i) piecewise linear systems, and (ii) impulsive systems, respectively. Moreover, the advantages and disadvantages of each of the methods will be highlighted. The developed theory will be illustrated using a numerical example.
Original languageEnglish
Title of host publicationProceedings of the 50th IEEE Conference on Decision and Control (CDC 2011), 12-15 December 2011, Orlando, USA
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages2571-2576
ISBN (Print)978-1-61284-800-6
DOIs
Publication statusPublished - 2011
Event2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Hilton Orlando Bonnet Creek, Orlando, FL, United States
Duration: 12 Dec 201115 Dec 2011
Conference number: 50
http://www.ieeecss.org/CAB/conferences/cdcecc2011/

Conference

Conference2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
Abbreviated titleCDC-ECC 2011
CountryUnited States
CityOrlando, FL
Period12/12/1115/12/11
Internet address

Fingerprint

State feedback
Linear systems
Sampling
Control systems

Cite this

Heemels, W. P. M. H., Donkers, M. C. F., & Teel, A. R. (2011). Periodic event-triggered control based on state feedback. In Proceedings of the 50th IEEE Conference on Decision and Control (CDC 2011), 12-15 December 2011, Orlando, USA (pp. 2571-2576). Piscataway: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC.2011.6160817
Heemels, W.P.M.H. ; Donkers, M.C.F. ; Teel, A.R. / Periodic event-triggered control based on state feedback. Proceedings of the 50th IEEE Conference on Decision and Control (CDC 2011), 12-15 December 2011, Orlando, USA. Piscataway : Institute of Electrical and Electronics Engineers, 2011. pp. 2571-2576
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Heemels, WPMH, Donkers, MCF & Teel, AR 2011, Periodic event-triggered control based on state feedback. in Proceedings of the 50th IEEE Conference on Decision and Control (CDC 2011), 12-15 December 2011, Orlando, USA. Institute of Electrical and Electronics Engineers, Piscataway, pp. 2571-2576, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, United States, 12/12/11. https://doi.org/10.1109/CDC.2011.6160817

Periodic event-triggered control based on state feedback. / Heemels, W.P.M.H.; Donkers, M.C.F.; Teel, A.R.

Proceedings of the 50th IEEE Conference on Decision and Control (CDC 2011), 12-15 December 2011, Orlando, USA. Piscataway : Institute of Electrical and Electronics Engineers, 2011. p. 2571-2576.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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AB - In this paper, a novel event-triggered control (ETC) strategy is proposed by striking a balance between periodic sampled-data control and ETC. This leads to so-called periodic event-triggered control (PETC), in which the advantage of reduced resource utilisation is preserved on the one hand, while, on the other hand, the conditions that trigger the events still have a periodic character. The latter aspect has the advantage that the event-triggering condition has to be verified only at the periodic sampling times, instead of continuously, as in conventional ETC. To analyse the stability and the L2-gain properties of the resulting PETC systems, two different approaches will be presented based on (i) piecewise linear systems, and (ii) impulsive systems, respectively. Moreover, the advantages and disadvantages of each of the methods will be highlighted. The developed theory will be illustrated using a numerical example.

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Heemels WPMH, Donkers MCF, Teel AR. Periodic event-triggered control based on state feedback. In Proceedings of the 50th IEEE Conference on Decision and Control (CDC 2011), 12-15 December 2011, Orlando, USA. Piscataway: Institute of Electrical and Electronics Engineers. 2011. p. 2571-2576 https://doi.org/10.1109/CDC.2011.6160817