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 proceedingConference contributionAcademicpeer-review

2 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 languageEnglish
Title of host publication2016 2nd International Conference on Event-Based Control, Communication, and Signal Processing (EBCCSP 2016), June 13-15, 2016, Krakow, Poland. Proceedings
Subtitle of host publication2016 2nd International Nordic-Mediterranean Workshop on Time-to-Digital Converters and Applications (NoMe-TDC 2016), June 15, 2016, Krakow, Poland. Proceedings
Place of PublicationRed Hook
PublisherCurran Associates
Pages1-8
ISBN (Electronic)9781509041961
DOIs
Publication statusPublished - 20 Oct 2016
Event2nd International Conference on Event-Based Control, Communication, and Signal Processing, EBCCSP 2016 - Krakow, Poland
Duration: 13 Jun 201615 Jun 2016

Conference

Conference2nd International Conference on Event-Based Control, Communication, and Signal Processing, EBCCSP 2016
CountryPoland
CityKrakow
Period13/06/1615/06/16

Keywords

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

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  • 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). [7605256] Curran Associates. https://doi.org/10.1109/EBCCSP.2016.7605256