Improved stability conditions for discrete-time systems under dynamic network protocols

Kun Liu, Alexandre Seuret, Emilia Fridman, Yuanqing Xia

Research output: Contribution to journalArticlepeer-review

Abstract

This paper deals with the stability of discrete-time networked systems with multiple sensor nodes under dynamic scheduling protocols. Access to the communication medium is orchestrated by a weighted try-once-discard or by an independent and identically-distributed stochastic protocol that determines which sensor node can access the network at each sampling instant and transmit its corresponding data. Through a time-delay approach, a unified discrete-time hybrid system with time-varying delays in the dynamics and in the reset conditions is formulated under both scheduling protocols. Then, a new stability criterion for discrete-time systems with time-varying delays is proposed by the discrete counterpart of the second-order Bessel-Legendre integral inequality. The developed approach is applied to guarantee the stability of the resulting discrete-time hybrid system model with respect to the full state under try-once-discard or independent and identically-distributed scheduling protocol. The communication delays can be larger than the sampling intervals. Finally, the efficiency of the presented approach is illustrated by a cart-pendulum system.

Original languageEnglish
Pages (from-to)4479-4499
Number of pages21
JournalInternational Journal of Robust and Nonlinear Control
Volume28
Issue number15
DOIs
StatePublished - 1 Oct 2018

Keywords

  • Lyapunov method
  • discrete-time networked control systems
  • dynamic protocols
  • multiple sensors

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