Dynamic periodic event-triggered control for linear systems

D.P. Borgers, V.S. Dolk, W.P.M.H. Heemels

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

3 Citations (Scopus)

Abstract

In event-triggered control systems, events are typically generated when a static function of the output (or state) of the system exceeds a given threshold. Recently, event-generators have been proposed that generate events based on an additional dynamic variable, with dynamics that depend on the output of the system. It is shown that these dynamic eventgenerators are able to guarantee the same performance as their static counterparts, while typically generating significantly fewer events. However, all dynamic event-generators available in literature require continuous measuring of the output of the plant, which is difficult to realize on digital platforms. In this paper, we propose new dynamic eventgenerators for linear systems, which require only periodic sampling of the output, and are therefore easy to implement on digital platforms. Based on hybrid modelling techniques combined with constructive designs of Lyapunov/storage functions for the resulting hybrid models, it is shown that these (dynamic periodic) event-generators lead to closed-loop systems which are globally exponentially stable (GES) with a guaranteed decay rate and L2-stable with a guaranteed L2-gain. The benefits of these new event-generators are also demonstrated via a numerical example.

Original languageEnglish
Title of host publicationHSCC 2017 - Proceedings of the 20th International Conference on Hybrid Systems, 18-20 April 2017, Pittsburgh, Pennsylvania
Subtitle of host publicationComputation and Control (part of CPS Week)
Place of PublicationNew York
PublisherAssociation for Computing Machinery, Inc
Pages179-186
Number of pages8
ISBN (Print)978-1-4503-4590-3
DOIs
Publication statusPublished - 13 Apr 2017
Event20th ACM International Conference on Hybrid Systems: Computation and Control (HSCC2017) - Pittsburgh, United States
Duration: 18 Apr 201720 Apr 2017
Conference number: 20
http://hscc2017.ece.illinois.edu/

Conference

Conference20th ACM International Conference on Hybrid Systems: Computation and Control (HSCC2017)
Abbreviated titleHSCC 2017
CountryUnited States
CityPittsburgh
Period18/04/1720/04/17
Internet address

Fingerprint

Linear systems
Closed loop systems
Sampling
Control systems

Keywords

  • Event-triggered control
  • Global exponential stability
  • Hybrid systems
  • Impulsive systems
  • L stability
  • Riccati differential equations

Cite this

Borgers, D. P., Dolk, V. S., & Heemels, W. P. M. H. (2017). Dynamic periodic event-triggered control for linear systems. In HSCC 2017 - Proceedings of the 20th International Conference on Hybrid Systems, 18-20 April 2017, Pittsburgh, Pennsylvania: Computation and Control (part of CPS Week) (pp. 179-186). New York: Association for Computing Machinery, Inc. https://doi.org/10.1145/3049797.3049815
Borgers, D.P. ; Dolk, V.S. ; Heemels, W.P.M.H. / Dynamic periodic event-triggered control for linear systems. HSCC 2017 - Proceedings of the 20th International Conference on Hybrid Systems, 18-20 April 2017, Pittsburgh, Pennsylvania: Computation and Control (part of CPS Week). New York : Association for Computing Machinery, Inc, 2017. pp. 179-186
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Borgers, DP, Dolk, VS & Heemels, WPMH 2017, Dynamic periodic event-triggered control for linear systems. in HSCC 2017 - Proceedings of the 20th International Conference on Hybrid Systems, 18-20 April 2017, Pittsburgh, Pennsylvania: Computation and Control (part of CPS Week). Association for Computing Machinery, Inc, New York, pp. 179-186, 20th ACM International Conference on Hybrid Systems: Computation and Control (HSCC2017), Pittsburgh, United States, 18/04/17. https://doi.org/10.1145/3049797.3049815

Dynamic periodic event-triggered control for linear systems. / Borgers, D.P.; Dolk, V.S.; Heemels, W.P.M.H.

HSCC 2017 - Proceedings of the 20th International Conference on Hybrid Systems, 18-20 April 2017, Pittsburgh, Pennsylvania: Computation and Control (part of CPS Week). New York : Association for Computing Machinery, Inc, 2017. p. 179-186.

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

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N2 - In event-triggered control systems, events are typically generated when a static function of the output (or state) of the system exceeds a given threshold. Recently, event-generators have been proposed that generate events based on an additional dynamic variable, with dynamics that depend on the output of the system. It is shown that these dynamic eventgenerators are able to guarantee the same performance as their static counterparts, while typically generating significantly fewer events. However, all dynamic event-generators available in literature require continuous measuring of the output of the plant, which is difficult to realize on digital platforms. In this paper, we propose new dynamic eventgenerators for linear systems, which require only periodic sampling of the output, and are therefore easy to implement on digital platforms. Based on hybrid modelling techniques combined with constructive designs of Lyapunov/storage functions for the resulting hybrid models, it is shown that these (dynamic periodic) event-generators lead to closed-loop systems which are globally exponentially stable (GES) with a guaranteed decay rate and L2-stable with a guaranteed L2-gain. The benefits of these new event-generators are also demonstrated via a numerical example.

AB - In event-triggered control systems, events are typically generated when a static function of the output (or state) of the system exceeds a given threshold. Recently, event-generators have been proposed that generate events based on an additional dynamic variable, with dynamics that depend on the output of the system. It is shown that these dynamic eventgenerators are able to guarantee the same performance as their static counterparts, while typically generating significantly fewer events. However, all dynamic event-generators available in literature require continuous measuring of the output of the plant, which is difficult to realize on digital platforms. In this paper, we propose new dynamic eventgenerators for linear systems, which require only periodic sampling of the output, and are therefore easy to implement on digital platforms. Based on hybrid modelling techniques combined with constructive designs of Lyapunov/storage functions for the resulting hybrid models, it is shown that these (dynamic periodic) event-generators lead to closed-loop systems which are globally exponentially stable (GES) with a guaranteed decay rate and L2-stable with a guaranteed L2-gain. The benefits of these new event-generators are also demonstrated via a numerical example.

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Borgers DP, Dolk VS, Heemels WPMH. Dynamic periodic event-triggered control for linear systems. In HSCC 2017 - Proceedings of the 20th International Conference on Hybrid Systems, 18-20 April 2017, Pittsburgh, Pennsylvania: Computation and Control (part of CPS Week). New York: Association for Computing Machinery, Inc. 2017. p. 179-186 https://doi.org/10.1145/3049797.3049815