Lyapunov design for event-triggered exponential stabilization

Anton V. Proskurnikov; Manuel Mazo

doi:10.1145/3178126.3178142

Lyapunov design for event-triggered exponential stabilization

Anton V. Proskurnikov, Manuel Mazo

Team Tamas Keviczky

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

8 Citations (Scopus)

50 Downloads (Pure)

Abstract

Control Lyapunov Functions (CLF) method gives a constructive tool for stabilization of nonlinear systems. To find a CLF, many methods have been proposed in the literature, e.g. backstepping for cascaded systems and sum of squares (SOS) programming for polynomial systems. Dealing with continuous-time systems, the CLF-based controller is also continuous-time, whereas practical implementation on a digital platform requires sampled-time control. In this paper, we show that if the continuous-time controller provides exponential stabilization, then an exponentially stabilizing event-triggered control strategy exists with the convergence rate arbitrarily close to the rate of the continuous-time system.

Original language	English
Title of host publication	Proceedings of the 21st International Conference on Hybrid Systems (HSCC 2018)
Subtitle of host publication	Computation and Control (part of CPS Week)
Place of Publication	New York, NY, USA
Publisher	Association for Computing Machinery (ACM)
Pages	111-119
ISBN (Electronic)	978-1-4503-5642-8
DOIs	https://doi.org/10.1145/3178126.3178142
Publication status	Published - 2018
Event	21st International Conference on Hybrid Systems: Computation and Control, HSCC 2018 - Porto, Portugal Duration: 11 Apr 2018 → 13 Apr 2018

Conference

Conference	21st International Conference on Hybrid Systems: Computation and Control, HSCC 2018
Country/Territory	Portugal
City	Porto
Period	11/04/18 → 13/04/18

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care

Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

Control Lyapunov Function
Event-triggered control
Stability

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10.1145/3178126.3178142

3178126.3178142Final published version, 0.98 MB

Cite this

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title = "Lyapunov design for event-triggered exponential stabilization",

abstract = "Control Lyapunov Functions (CLF) method gives a constructive tool for stabilization of nonlinear systems. To find a CLF, many methods have been proposed in the literature, e.g. backstepping for cascaded systems and sum of squares (SOS) programming for polynomial systems. Dealing with continuous-time systems, the CLF-based controller is also continuous-time, whereas practical implementation on a digital platform requires sampled-time control. In this paper, we show that if the continuous-time controller provides exponential stabilization, then an exponentially stabilizing event-triggered control strategy exists with the convergence rate arbitrarily close to the rate of the continuous-time system.",

keywords = "Control Lyapunov Function, Event-triggered control, Stability",

author = "Proskurnikov, {Anton V.} and Manuel Mazo",

note = "Green Open Access added to TU Delft Institutional Repository {\textquoteleft}You share, we take care!{\textquoteright} – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.; 21st International Conference on Hybrid Systems: Computation and Control, HSCC 2018 ; Conference date: 11-04-2018 Through 13-04-2018",

year = "2018",

doi = "10.1145/3178126.3178142",

language = "English",

pages = "111--119",

booktitle = "Proceedings of the 21st International Conference on Hybrid Systems (HSCC 2018)",

publisher = "Association for Computing Machinery (ACM)",

address = "United States",

}

Proskurnikov, AV & Mazo, M 2018, Lyapunov design for event-triggered exponential stabilization. in Proceedings of the 21st International Conference on Hybrid Systems (HSCC 2018): Computation and Control (part of CPS Week). Association for Computing Machinery (ACM), New York, NY, USA, pp. 111-119, 21st International Conference on Hybrid Systems: Computation and Control, HSCC 2018, Porto, Portugal, 11/04/18. https://doi.org/10.1145/3178126.3178142

Lyapunov design for event-triggered exponential stabilization. / Proskurnikov, Anton V.; Mazo, Manuel.
Proceedings of the 21st International Conference on Hybrid Systems (HSCC 2018): Computation and Control (part of CPS Week). New York, NY, USA: Association for Computing Machinery (ACM), 2018. p. 111-119.

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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AB - Control Lyapunov Functions (CLF) method gives a constructive tool for stabilization of nonlinear systems. To find a CLF, many methods have been proposed in the literature, e.g. backstepping for cascaded systems and sum of squares (SOS) programming for polynomial systems. Dealing with continuous-time systems, the CLF-based controller is also continuous-time, whereas practical implementation on a digital platform requires sampled-time control. In this paper, we show that if the continuous-time controller provides exponential stabilization, then an exponentially stabilizing event-triggered control strategy exists with the convergence rate arbitrarily close to the rate of the continuous-time system.

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M3 - Conference contribution

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ER -

Lyapunov design for event-triggered exponential stabilization

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Keywords

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