Networked control with a stochastic scheduling: A time-delay approach

Kun Liu, Emilia Fridman, Karl Henrik Johansson

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


This paper is concerned with the stability analysis of networked control systems with communication constraints, variable delays and variable sampling intervals. The scheduling of sensor communication is defined by a stochastic protocol. The activation probability of each sensor node is a given constant, whereas it is assumed that collisions occur with a certain probability. The resulting closed-loop system is a stochastic impulsive system with delays in the continuous dynamics and in the reset equations. The system matrices have stochastic parameters with Bernoulli distributions. Sufficient conditions for the exponential mean-square stability are derived via a Lyapunov-Krasovskii-based method. The efficiency of the method is illustrated on the example of a batch reactor. It is demonstrated how our time-delay approach allows treating network-induced delays larger than the sampling intervals.

Original languageEnglish
Title of host publication19th IFAC World Congress IFAC 2014, Proceedings
EditorsEdward Boje, Xiaohua Xia
PublisherIFAC Secretariat
Number of pages6
ISBN (Electronic)9783902823625
StatePublished - 2014
Event19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014 - Cape Town, South Africa
Duration: 24 Aug 201429 Aug 2014

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)


Conference19th IFAC World Congress on International Federation of Automatic Control, IFAC 2014
Country/TerritorySouth Africa
CityCape Town


  • Lyapunov functional
  • Networked control systems
  • Stochastic impulsive system
  • Stochastic protocol

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering


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