Stochastic stability of Markovian jump linear systems over networks with random quantization density and time delay

Jufeng Wang, Meng Chu Zhou, Chunfeng Liu

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

This work studies the stochastic stability of Markovian jump linear systems in a communication network-based environment. By modeling quantization density as well as the sensor-to-controller and controller-to-actuator delays as Markov chains, the closed-loop networked control systems are expressed as switched linear systems. The necessary and sufficient conditions of stochastic stability are derived. By solving a set of linear matrix inequalities with matrix inversion constraints, this work presents a three-mode-dependent state-feedback controller. Its control performance is illustrated via a numerical example.

Original languageEnglish (US)
Pages (from-to)1128-1139
Number of pages12
JournalPhysica A: Statistical Mechanics and its Applications
Volume509
DOIs
StatePublished - Nov 1 2018

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

Keywords

  • Markovian jump system
  • Networked control system
  • Quantization
  • Stability
  • Time delay

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