A Less-conservative Stability Criterion for Networked Control Systems with time-varying Packet Delays

Martin Steinberger*, Martin Horn

*Korrespondierende/r Autor/in für diese Arbeit

Publikation: Beitrag in einer FachzeitschriftArtikel

Abstract

A networked output feedback loop subject to packetized transmissions of the output signal is considered. Based on the small gain theorem, an easy-to-use stability criterion covering two important cases is presented. In the first case a packet numbering mechanism is employed whereas in the second case neither packet numbering nor synchronization between sender and receiver is assumed. The analysis makes use of acausal subsystems and deduces the optimal constant time delay with respect to the minimization of the ℓ 2 gain due to uncertain packet delays. This additional delay is then used in a nominal controller design such that additional admissible packet delay variations introduced by the network are maximized. A simulation example of a networked control system with a filtered Smith predictor illustrates the application of the proposed criterion. It is shown that the proposed novel technique is less-conservative than existing stability criteria based on the small gain theorem.

Originalspracheenglisch
Seiten (von - bis)2128–2143
Seitenumfang16
FachzeitschriftIET Control Theory & Applications
Jahrgang15
Ausgabenummer16
Frühes Online-Datum10 Aug 2021
DOIs
PublikationsstatusVeröffentlicht - Nov 2021

ASJC Scopus subject areas

  • !!Control and Optimization
  • Human-computer interaction
  • !!Electrical and Electronic Engineering
  • !!Control and Systems Engineering
  • !!Computer Science Applications

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