Dynamic periodic event-triggered control for linear systems

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

doi:10.1145/3049797.3049815

Dynamic periodic event-triggered control for linear systems

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

Control Systems Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

27 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 language	English
Title of host publication	HSCC 2017 - Proceedings of the 20th International Conference on Hybrid Systems, 18-20 April 2017, Pittsburgh, Pennsylvania
Subtitle of host publication	Computation and Control (part of CPS Week)
Place of Publication	New York
Publisher	Association for Computing Machinery, Inc
Pages	179-186
Number of pages	8
ISBN (Print)	978-1-4503-4590-3
DOIs	https://doi.org/10.1145/3049797.3049815
Publication status	Published - 13 Apr 2017
Event	20th ACM International Conference on Hybrid Systems: Computation and Control (HSCC 2017) - Pittsburgh, United States Duration: 18 Apr 2017 → 20 Apr 2017 Conference number: 20 http://hscc2017.ece.illinois.edu/

Conference

Conference	20th ACM International Conference on Hybrid Systems: Computation and Control (HSCC 2017)
Abbreviated title	HSCC 2017
Country/Territory	United States
City	Pittsburgh
Period	18/04/17 → 20/04/17
Internet address	http://hscc2017.ece.illinois.edu/

Keywords

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

Access to Document

10.1145/3049797.3049815

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). Association for Computing Machinery, Inc. https://doi.org/10.1145/3049797.3049815

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title = "Dynamic periodic event-triggered control for linear systems",

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.",

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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 (HSCC 2017), Pittsburgh, Pennsylvania, 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 proceeding › Conference contribution › Academic › peer-review

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AU - Dolk, V.S.

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

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PY - 2017/4/13

Y1 - 2017/4/13

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.

KW - Event-triggered control

KW - Global exponential stability

KW - Hybrid systems

KW - Impulsive systems

KW - L stability

KW - Riccati differential equations

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M3 - Conference contribution

AN - SCOPUS:85019048951

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EP - 186

BT - HSCC 2017 - Proceedings of the 20th International Conference on Hybrid Systems, 18-20 April 2017, Pittsburgh, Pennsylvania

PB - Association for Computing Machinery, Inc

CY - New York

T2 - 20th ACM International Conference on Hybrid Systems: Computation and Control (HSCC 2017)

Y2 - 18 April 2017 through 20 April 2017

ER -

Dynamic periodic event-triggered control for linear systems

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Keywords

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