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

doi:10.1007/978-3-319-78449-6_7

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 proceeding › Chapter

8 Scopus citations

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 language	English (US)
Title of host publication	Lecture Notes in Control and Information Sciences
Publisher	Springer Verlag
Pages	121-149
Number of pages	29
DOIs	https://doi.org/10.1007/978-3-319-78449-6_7
State	Published - 2018
Externally published	Yes

Publication series

Name	Lecture Notes in Control and Information Sciences
Volume	475
ISSN (Print)	0170-8643

Bibliographical note

Publisher Copyright:
© Springer International Publishing AG, part of Springer Nature 2018.

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10.1007/978-3-319-78449-6_7

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title = "Time-regularized and periodic event-triggered control for linear systems",

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{\textendash}861, 2013, Heemels et al., IEEE Trans Autom Control 61(10):2766{\textendash}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{\textendash}2781, 2016, which applies to PETC systems, and the Riccati-based framework of Heemels et al., IEEE Trans Autom Control 58(4):847{\textendash}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.",

author = "Borgers, \{D. P.\} and Dolk, \{V. S.\} and Dullerud, \{G. E.\} and Teel, \{A. R.\} and Heemels, \{W. P.M.H.\}",

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AU - Dolk, V. S.

AU - Dullerud, G. E.

AU - Teel, A. R.

AU - Heemels, W. P.M.H.

PY - 2018

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

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