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Stochastic Control of a Class of Networked Control Systems with Time Delays and Packet Dropouts

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  • Jufeng Wang
  • Chunfeng Liu
  • Kai Li

Abstract

This paper studies the -infinity stochastic control problem for a class of networked control systems (NCSs) with time delays and packet dropouts. The state feedback closed-loop NCS is modeled as a Markovian jump linear system. Through using a Lyapunov function, a sufficient condition is obtained, under which the system is stochastically exponential stability with a desired -infinity disturbance attenuation level. The designed -infinity controller is obtained by solving a set of linear matrix inequalities with some inversion constraints. An numerical example is presented to demonstrate the effectiveness of the proposed method.

Suggested Citation

  • Jufeng Wang & Chunfeng Liu & Kai Li, 2014. "Stochastic Control of a Class of Networked Control Systems with Time Delays and Packet Dropouts," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-7, July.
    • Handle: RePEc:hin:jnlmpe:749574
    DOI: 10.1155/2014/749574
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