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 proceedingChapter

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.

Original languageEnglish (US)
Title of host publicationLecture Notes in Control and Information Sciences
PublisherSpringer-Verlag Berlin Heidelberg
Pages121-149
Number of pages29
DOIs
StatePublished - Jan 1 2018

Publication series

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

ASJC Scopus subject areas

  • Library and Information Sciences

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  • Cite this

    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 Lecture Notes in Control and Information Sciences (pp. 121-149). (Lecture Notes in Control and Information Sciences; Vol. 475). Springer-Verlag Berlin Heidelberg. https://doi.org/10.1007/978-3-319-78449-6_7