Stability Analysis of Networked Control Systems with Aperiodic Sampling and Time-Varying Delay

Jie Chen, Su Meng, Jian Sun*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

57 Citations (Scopus)

Abstract

This paper addresses the stability of networked control systems with aperiodic sampling and time-varying network-induced delay. The sampling intervals are assumed to vary within a known interval. The transmission delay is assumed to belong to a given interval. The closed-loop system is first converted to a discrete-time system with multiple time-varying delays and norm-bounded uncertainties resulting from the variation of the sampling intervals. And then, it is transformed into a delay-free system being form of an interconnection of two subsystems. By utilizing scaled small gain theorem, an asymptotic stability criterion for the closed-loop system is proposed in terms of linear matrix inequality. Finally, numerical examples demonstrate the effectiveness of the proposed method and its advantages over existing methods.

Original languageEnglish
Article number7763867
Pages (from-to)2312-2320
Number of pages9
JournalIEEE Transactions on Cybernetics
Volume47
Issue number8
DOIs
Publication statusPublished - Aug 2017

Keywords

  • Aperiodic sampling
  • networked control system (NCS)
  • stability
  • time-varying delay

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