Event-triggered dynamic feedback controllers for nonlinear systems with asynchronous transmissions

M. Abdelrahim; R. Postoyan; J. Daafouz; D. Nešić

doi:10.1109/CDC.2015.7403080

Event-triggered dynamic feedback controllers for nonlinear systems with asynchronous transmissions

M. Abdelrahim
, R. Postoyan
, J. Daafouz
, D. Nešić

Control Systems Technology

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

14 Citations (Scopus)

1 Downloads (Pure)

Abstract

We study the event-triggered stabilization of nonlinear systems using dynamic feedback laws. In particular, we consider the scenario where the plant measurements and the control input are sampled using two independent triggering rules, which leads to asynchronous transmissions. The proposed mechanisms enforce a uniform amount of time between any two transmissions generated by each triggering condition. To that end, we develop and combine time-triggered and event-triggered techniques. We ensure a global asymptotic stability property for the closed-loop system. We present a systematic way to apply the approach to linear time-invariant systems, for which the conditions are formulated as a linear matrix inequality. We compare the obtained results in this particular case with existing techniques in the literature on numerical examples. We emphasize that the presented results are also new in the context of time-triggered control as we explain.

Original language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Publisher	Institute of Electrical and Electronics Engineers
Pages	5494-5499
Number of pages	6
ISBN (Print)	9781479978861
DOIs	https://doi.org/10.1109/CDC.2015.7403080
Publication status	Published - 8 Feb 2016
Event	54th IEEE Conference on Decision and Control (CDC 2015) - "Osaka International Convention Center", Osaka, Japan Duration: 15 Dec 2015 → 18 Dec 2015 Conference number: 54 http://www.cdc2015.ctrl.titech.ac.jp/

Conference

Conference	54th IEEE Conference on Decision and Control (CDC 2015)
Abbreviated title	CDC 2015
Country/Territory	Japan
City	Osaka
Period	15/12/15 → 18/12/15
Internet address	http://www.cdc2015.ctrl.titech.ac.jp/

Keywords

Asymptotic stability
Closed loop systems
Linear matrix inequalities
Linear systems
Nonlinear systems
Time-domain analysis

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10.1109/CDC.2015.7403080

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title = "Event-triggered dynamic feedback controllers for nonlinear systems with asynchronous transmissions",

abstract = "We study the event-triggered stabilization of nonlinear systems using dynamic feedback laws. In particular, we consider the scenario where the plant measurements and the control input are sampled using two independent triggering rules, which leads to asynchronous transmissions. The proposed mechanisms enforce a uniform amount of time between any two transmissions generated by each triggering condition. To that end, we develop and combine time-triggered and event-triggered techniques. We ensure a global asymptotic stability property for the closed-loop system. We present a systematic way to apply the approach to linear time-invariant systems, for which the conditions are formulated as a linear matrix inequality. We compare the obtained results in this particular case with existing techniques in the literature on numerical examples. We emphasize that the presented results are also new in the context of time-triggered control as we explain.",

keywords = "Asymptotic stability, Closed loop systems, Linear matrix inequalities, Linear systems, Nonlinear systems, Time-domain analysis",

author = "M. Abdelrahim and R. Postoyan and J. Daafouz and D. Ne{\v s}i{\'c}",

year = "2016",

month = feb,

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doi = "10.1109/CDC.2015.7403080",

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booktitle = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers",

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note = "54th IEEE Conference on Decision and Control (CDC 2015), CDC 2015 ; Conference date: 15-12-2015 Through 18-12-2015",

url = "http://www.cdc2015.ctrl.titech.ac.jp/",

}

Abdelrahim, M, Postoyan, R, Daafouz, J & Nešić, D 2016, Event-triggered dynamic feedback controllers for nonlinear systems with asynchronous transmissions. in Proceedings of the IEEE Conference on Decision and Control., 7403080, Institute of Electrical and Electronics Engineers, pp. 5494-5499, 54th IEEE Conference on Decision and Control (CDC 2015), Osaka, Japan, 15/12/15. https://doi.org/10.1109/CDC.2015.7403080

Event-triggered dynamic feedback controllers for nonlinear systems with asynchronous transmissions. / Abdelrahim, M.; Postoyan, R.; Daafouz, J. et al.
Proceedings of the IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers, 2016. p. 5494-5499 7403080.

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

TY - GEN

T1 - Event-triggered dynamic feedback controllers for nonlinear systems with asynchronous transmissions

AU - Abdelrahim, M.

AU - Postoyan, R.

AU - Daafouz, J.

AU - Nešić, D.

N1 - Conference code: 54

PY - 2016/2/8

Y1 - 2016/2/8

N2 - We study the event-triggered stabilization of nonlinear systems using dynamic feedback laws. In particular, we consider the scenario where the plant measurements and the control input are sampled using two independent triggering rules, which leads to asynchronous transmissions. The proposed mechanisms enforce a uniform amount of time between any two transmissions generated by each triggering condition. To that end, we develop and combine time-triggered and event-triggered techniques. We ensure a global asymptotic stability property for the closed-loop system. We present a systematic way to apply the approach to linear time-invariant systems, for which the conditions are formulated as a linear matrix inequality. We compare the obtained results in this particular case with existing techniques in the literature on numerical examples. We emphasize that the presented results are also new in the context of time-triggered control as we explain.

AB - We study the event-triggered stabilization of nonlinear systems using dynamic feedback laws. In particular, we consider the scenario where the plant measurements and the control input are sampled using two independent triggering rules, which leads to asynchronous transmissions. The proposed mechanisms enforce a uniform amount of time between any two transmissions generated by each triggering condition. To that end, we develop and combine time-triggered and event-triggered techniques. We ensure a global asymptotic stability property for the closed-loop system. We present a systematic way to apply the approach to linear time-invariant systems, for which the conditions are formulated as a linear matrix inequality. We compare the obtained results in this particular case with existing techniques in the literature on numerical examples. We emphasize that the presented results are also new in the context of time-triggered control as we explain.

KW - Asymptotic stability

KW - Closed loop systems

KW - Linear matrix inequalities

KW - Linear systems

KW - Nonlinear systems

KW - Time-domain analysis

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U2 - 10.1109/CDC.2015.7403080

DO - 10.1109/CDC.2015.7403080

M3 - Conference contribution

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EP - 5499

BT - Proceedings of the IEEE Conference on Decision and Control

PB - Institute of Electrical and Electronics Engineers

T2 - 54th IEEE Conference on Decision and Control (CDC 2015)

Y2 - 15 December 2015 through 18 December 2015

ER -

Event-triggered dynamic feedback controllers for nonlinear systems with asynchronous transmissions

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