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

Ye-Guo Sun and Qing-Zheng Gao

Mathematical Problems in Engineering, 2012, vol. 2012, 1-15

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:834643

DOI: 10.1155/2012/834643

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