Stability analysis of spatially invariant systems with event-triggered communication

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

doi:10.1109/EBCCSP.2016.7605256

Stability analysis of spatially invariant systems with event-triggered communication

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

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

3 Citations (Scopus)

Abstract

In this paper we analyze spatially invariant inter-connections consisting of a (finite) number of subsystems that use packet-based communication networks for the exchange of information. An example of such an interconnected system is the platoon of vehicles that uses cooperative control to drive autonomously. By building upon a recently developed hybrid systems framework for the considered spatially invariant inter-connections, we investigate the design of event-based triggering mechanisms that aim to reduce the amount of transmission times while still guaranteeing behavior in terms of uniform global asymptotic stability (UGAS) for the overall interconnected system. To obtain tractable design conditions, we exploit the spatially invariant property. As a result, we obtain conditions based on only the local information of one of the subsystems in the interconnection and the interconnection structure itself. A nonlinear example is used to illustrate the applications and benefits of the obtained modeling approach.

Original language	English
Title of host publication	2016 2nd International Conference on Event-Based Control, Communication, and Signal Processing (EBCCSP 2016), June 13-15, 2016, Krakow, Poland. Proceedings
Subtitle of host publication	2016 2nd International Nordic-Mediterranean Workshop on Time-to-Digital Converters and Applications (NoMe-TDC 2016), June 15, 2016, Krakow, Poland. Proceedings
Place of Publication	Red Hook
Publisher	Curran Associates
Pages	1-8
ISBN (Electronic)	9781509041961
DOIs	https://doi.org/10.1109/EBCCSP.2016.7605256
Publication status	Published - 20 Oct 2016
Event	2nd International Conference on Event-Based Control, Communication, and Signal Processing, EBCCSP 2016 - Krakow, Poland, Krakow, Poland Duration: 13 Jun 2016 → 15 Jun 2016

Conference

Conference	2nd International Conference on Event-Based Control, Communication, and Signal Processing, EBCCSP 2016
Country/Territory	Poland
City	Krakow
Period	13/06/16 → 15/06/16

Keywords

event-triggered control
large-scale systems
Networked control systems
spatially invariant systems

Access to Document

10.1109/EBCCSP.2016.7605256

Cite this

Heijmans, S. H. J., Dolk, V. S., Borgers, D. P., & Heemels, W. P. M. H. (2016). Stability analysis of spatially invariant systems with event-triggered communication. In 2016 2nd International Conference on Event-Based Control, Communication, and Signal Processing (EBCCSP 2016), June 13-15, 2016, Krakow, Poland. Proceedings: 2016 2nd International Nordic-Mediterranean Workshop on Time-to-Digital Converters and Applications (NoMe-TDC 2016), June 15, 2016, Krakow, Poland. Proceedings (pp. 1-8). Article 7605256 Curran Associates. https://doi.org/10.1109/EBCCSP.2016.7605256

Heijmans, S.H.J. ; Dolk, V.S. ; Borgers, D.P. et al. / Stability analysis of spatially invariant systems with event-triggered communication. 2016 2nd International Conference on Event-Based Control, Communication, and Signal Processing (EBCCSP 2016), June 13-15, 2016, Krakow, Poland. Proceedings: 2016 2nd International Nordic-Mediterranean Workshop on Time-to-Digital Converters and Applications (NoMe-TDC 2016), June 15, 2016, Krakow, Poland. Proceedings . Red Hook : Curran Associates, 2016. pp. 1-8

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abstract = "In this paper we analyze spatially invariant inter-connections consisting of a (finite) number of subsystems that use packet-based communication networks for the exchange of information. An example of such an interconnected system is the platoon of vehicles that uses cooperative control to drive autonomously. By building upon a recently developed hybrid systems framework for the considered spatially invariant inter-connections, we investigate the design of event-based triggering mechanisms that aim to reduce the amount of transmission times while still guaranteeing behavior in terms of uniform global asymptotic stability (UGAS) for the overall interconnected system. To obtain tractable design conditions, we exploit the spatially invariant property. As a result, we obtain conditions based on only the local information of one of the subsystems in the interconnection and the interconnection structure itself. A nonlinear example is used to illustrate the applications and benefits of the obtained modeling approach.",

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author = "S.H.J. Heijmans and V.S. Dolk and D.P. Borgers and W.P.M.H. Heemels",

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Heijmans, SHJ, Dolk, VS, Borgers, DP & Heemels, WPMH 2016, Stability analysis of spatially invariant systems with event-triggered communication. in 2016 2nd International Conference on Event-Based Control, Communication, and Signal Processing (EBCCSP 2016), June 13-15, 2016, Krakow, Poland. Proceedings: 2016 2nd International Nordic-Mediterranean Workshop on Time-to-Digital Converters and Applications (NoMe-TDC 2016), June 15, 2016, Krakow, Poland. Proceedings ., 7605256, Curran Associates, Red Hook, pp. 1-8, 2nd International Conference on Event-Based Control, Communication, and Signal Processing, EBCCSP 2016, Krakow, Poland, 13/06/16. https://doi.org/10.1109/EBCCSP.2016.7605256

Stability analysis of spatially invariant systems with event-triggered communication. / Heijmans, S.H.J.; Dolk, V.S.; Borgers, D.P. et al.
2016 2nd International Conference on Event-Based Control, Communication, and Signal Processing (EBCCSP 2016), June 13-15, 2016, Krakow, Poland. Proceedings: 2016 2nd International Nordic-Mediterranean Workshop on Time-to-Digital Converters and Applications (NoMe-TDC 2016), June 15, 2016, Krakow, Poland. Proceedings . Red Hook: Curran Associates, 2016. p. 1-8 7605256.

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

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AU - Borgers, D.P.

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N2 - In this paper we analyze spatially invariant inter-connections consisting of a (finite) number of subsystems that use packet-based communication networks for the exchange of information. An example of such an interconnected system is the platoon of vehicles that uses cooperative control to drive autonomously. By building upon a recently developed hybrid systems framework for the considered spatially invariant inter-connections, we investigate the design of event-based triggering mechanisms that aim to reduce the amount of transmission times while still guaranteeing behavior in terms of uniform global asymptotic stability (UGAS) for the overall interconnected system. To obtain tractable design conditions, we exploit the spatially invariant property. As a result, we obtain conditions based on only the local information of one of the subsystems in the interconnection and the interconnection structure itself. A nonlinear example is used to illustrate the applications and benefits of the obtained modeling approach.

AB - In this paper we analyze spatially invariant inter-connections consisting of a (finite) number of subsystems that use packet-based communication networks for the exchange of information. An example of such an interconnected system is the platoon of vehicles that uses cooperative control to drive autonomously. By building upon a recently developed hybrid systems framework for the considered spatially invariant inter-connections, we investigate the design of event-based triggering mechanisms that aim to reduce the amount of transmission times while still guaranteeing behavior in terms of uniform global asymptotic stability (UGAS) for the overall interconnected system. To obtain tractable design conditions, we exploit the spatially invariant property. As a result, we obtain conditions based on only the local information of one of the subsystems in the interconnection and the interconnection structure itself. A nonlinear example is used to illustrate the applications and benefits of the obtained modeling approach.

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Heijmans SHJ, Dolk VS, Borgers DP, Heemels WPMH. Stability analysis of spatially invariant systems with event-triggered communication. In 2016 2nd International Conference on Event-Based Control, Communication, and Signal Processing (EBCCSP 2016), June 13-15, 2016, Krakow, Poland. Proceedings: 2016 2nd International Nordic-Mediterranean Workshop on Time-to-Digital Converters and Applications (NoMe-TDC 2016), June 15, 2016, Krakow, Poland. Proceedings . Red Hook: Curran Associates. 2016. p. 1-8. 7605256 doi: 10.1109/EBCCSP.2016.7605256

Stability analysis of spatially invariant systems with event-triggered communication

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