Event-based Containability for Linear Systems with Arbitrarily Small Bit Rates

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  • University of Stuttgart
  • Tokyo Institute of Technology
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Original languageEnglish
Pages (from-to)31-36
Number of pages6
JournalIFAC-PapersOnLine
Volume52
Issue number20
Publication statusPublished - 24 Dec 2019
Event8th IFAC Workshop on Distributed Estimation and Control in Networked Systems, NECSYS 2019 - Chicago, United States
Duration: 16 Sept 201917 Sept 2019

Abstract

This paper considers the control of a continuous-time linear time-invariant plant over a communication channel with limited capacity and zero transmission delay. The control goal is to guarantee containability while it is assumed that an event-based sampling mechanism is the only component in the control loop that is equipped with memory In particular, this implies that the usage of a dynamic controller is explicitly excluded. The main contribution of the paper is to affirmatively answer the question whether in such a static scenario, with event-based sampling it is still possible to guarantee containability with an arbitrarily small asymptotic average bit rate. To address this question, results from the field of time-optimal control for linear systems are used. Afterwards, the derivations are illustrated for a system with two unstable eigenvalues.

Keywords

    Control under communication constraints, Event-based control, Quantized systems

ASJC Scopus subject areas

Cite this

Event-based Containability for Linear Systems with Arbitrarily Small Bit Rates. / Linsenmayer, Steffen; Müller, Matthias A.; Ishii, Hideaki et al.
In: IFAC-PapersOnLine, Vol. 52, No. 20, 24.12.2019, p. 31-36.

Research output: Contribution to journalConference articleResearchpeer review

Linsenmayer, S, Müller, MA, Ishii, H & Allgöwer, F 2019, 'Event-based Containability for Linear Systems with Arbitrarily Small Bit Rates', IFAC-PapersOnLine, vol. 52, no. 20, pp. 31-36. https://doi.org/10.1016/j.ifacol.2019.12.138
Linsenmayer S, Müller MA, Ishii H, Allgöwer F. Event-based Containability for Linear Systems with Arbitrarily Small Bit Rates. IFAC-PapersOnLine. 2019 Dec 24;52(20):31-36. doi: 10.1016/j.ifacol.2019.12.138
Linsenmayer, Steffen ; Müller, Matthias A. ; Ishii, Hideaki et al. / Event-based Containability for Linear Systems with Arbitrarily Small Bit Rates. In: IFAC-PapersOnLine. 2019 ; Vol. 52, No. 20. pp. 31-36.
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