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Stability and Stabilization of Networked Control System with Forward and Backward Random Time Delays

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  • Ye-Guo Sun
  • Qing-Zheng Gao

Abstract

This paper deals with the problem of stabilization for a class of networked control systems (NCSs) with random time delay via the state feedback control. Both sensor-to-controller and controller-to-actuator delays are modeled as Markov processes, and the resulting closed-loop system is modeled as a Markovian jump linear system (MJLS). Based on Lyapunov stability theorem combined with Razumikhin-based technique, a new delay-dependent stochastic stability criterion in terms of bilinear matrix inequalities (BMIs) for the system is derived. A state feedback controller that makes the closed-loop system stochastically stable is designed, which can be solved by the proposed algorithm. Simulations are included to demonstrate the theoretical result.

Suggested Citation

  • Ye-Guo Sun & Qing-Zheng Gao, 2012. "Stability and Stabilization of Networked Control System with Forward and Backward Random Time Delays," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-15, January.
    • Handle: RePEc:hin:jnlmpe:834643
    DOI: 10.1155/2012/834643
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