Time-regularized and periodic event-triggered control for linear systems

D.P. Borgers, V.S. Dolk, G.E. Dullerud, A.R. Teel, W.P.M.H. Heemels

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

Abstract

In this chapter, we provide an overview of our recent results for the analysis and design of Event-Triggered controllers that are tailored to linear systems as provided in Heemels et al., IEEE Trans Autom Control 58(4):847–861, 2013, Heemels et al., IEEE Trans Autom Control 61(10):2766–2781, 2016, Borgers et al., IEEE Trans Autom Control, 2018. In particular, we discuss two different frameworks for the stability and contractivity analysis and design of (static) periodic Event-Triggered control (PETC) and time-regularized continuous Event-Triggered control (CETC) systems: the lifting-based framework of Heemels et al., IEEE Trans Autom Control 61(10):2766–2781, 2016, which applies to PETC systems, and the Riccati-based framework of Heemels et al., IEEE Trans Autom Control 58(4):847–861, 2013, Borgers et al., IEEE Trans Autom Control (2018), which applies to both PETC systems and time-regularized CETC systems. Moreover, we identify the connections and differences between the two frameworks. Finally, for PETC and time-regularized CETC systems, we show how the Riccati-based analysis leads to new designs for dynamic Event-Triggered controllers, which (for identical stability and contractivity guarantees) lead to a significantly reduced consumption of communication and energy resources compared to their static counterparts.

LanguageEnglish
Title of host publicationControl Subject to Computational and Communication Constraints
EditorsSophie Tarbouriech, Antoine Girard, Laurentiu Hetel
PublisherSpringer
Chapter7
Pages121-149
Number of pages29
DOIs
StatePublished - 1 Jan 2018

Publication series

NameLecture Notes in Control and Information Sciences
Volume475
ISSN (Print)0170-8643

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Borgers, D. P., Dolk, V. S., Dullerud, G. E., Teel, A. R., & Heemels, W. P. M. H. (2018). Time-regularized and periodic event-triggered control for linear systems. In S. Tarbouriech, A. Girard, & L. Hetel (Eds.), Control Subject to Computational and Communication Constraints (pp. 121-149). (Lecture Notes in Control and Information Sciences; Vol. 475). Springer. DOI: 10.1007/978-3-319-78449-6_7
Borgers, D.P. ; Dolk, V.S. ; Dullerud, G.E. ; Teel, A.R. ; Heemels, W.P.M.H./ Time-regularized and periodic event-triggered control for linear systems. Control Subject to Computational and Communication Constraints. editor / Sophie Tarbouriech ; Antoine Girard ; Laurentiu Hetel. Springer, 2018. pp. 121-149 (Lecture Notes in Control and Information Sciences).
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abstract = "In this chapter, we provide an overview of our recent results for the analysis and design of Event-Triggered controllers that are tailored to linear systems as provided in Heemels et al., IEEE Trans Autom Control 58(4):847–861, 2013, Heemels et al., IEEE Trans Autom Control 61(10):2766–2781, 2016, Borgers et al., IEEE Trans Autom Control, 2018. In particular, we discuss two different frameworks for the stability and contractivity analysis and design of (static) periodic Event-Triggered control (PETC) and time-regularized continuous Event-Triggered control (CETC) systems: the lifting-based framework of Heemels et al., IEEE Trans Autom Control 61(10):2766–2781, 2016, which applies to PETC systems, and the Riccati-based framework of Heemels et al., IEEE Trans Autom Control 58(4):847–861, 2013, Borgers et al., IEEE Trans Autom Control (2018), which applies to both PETC systems and time-regularized CETC systems. Moreover, we identify the connections and differences between the two frameworks. Finally, for PETC and time-regularized CETC systems, we show how the Riccati-based analysis leads to new designs for dynamic Event-Triggered controllers, which (for identical stability and contractivity guarantees) lead to a significantly reduced consumption of communication and energy resources compared to their static counterparts.",
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Borgers, DP, Dolk, VS, Dullerud, GE, Teel, AR & Heemels, WPMH 2018, Time-regularized and periodic event-triggered control for linear systems. in S Tarbouriech, A Girard & L Hetel (eds), Control Subject to Computational and Communication Constraints. Lecture Notes in Control and Information Sciences, vol. 475, Springer, pp. 121-149. DOI: 10.1007/978-3-319-78449-6_7

Time-regularized and periodic event-triggered control for linear systems. / Borgers, D.P.; Dolk, V.S.; Dullerud, G.E.; Teel, A.R.; Heemels, W.P.M.H.

Control Subject to Computational and Communication Constraints. ed. / Sophie Tarbouriech; Antoine Girard; Laurentiu Hetel. Springer, 2018. p. 121-149 (Lecture Notes in Control and Information Sciences; Vol. 475).

Research output: Chapter in Book/Report/Conference proceedingChapterAcademicpeer-review

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Borgers DP, Dolk VS, Dullerud GE, Teel AR, Heemels WPMH. Time-regularized and periodic event-triggered control for linear systems. In Tarbouriech S, Girard A, Hetel L, editors, Control Subject to Computational and Communication Constraints. Springer. 2018. p. 121-149. (Lecture Notes in Control and Information Sciences). Available from, DOI: 10.1007/978-3-319-78449-6_7