Stability analysis and controller design for networked control systems with random time delay

Yeguo Sun and Shiyin Qin

International Journal of Systems Science, 2011, vol. 42, issue 3, 359-367

Abstract: This article deals with the problem of stabilisation for a class of networked control systems with random time delay via the state feedback control. The transmission delay is modelled as a Markov process, and the resulting closed-loop system is modelled as a Markovian jump linear system. Based on the Lyapunov stability theorem combined with linear matrix inequality (LMI) techniques, some new delay-dependent stochastic stability criteria for the system are derived. A switching state feedback controller that makes the closed-loop system stochastically stable is designed, which is obtained by solving some LMIs. Numerical simulation results illustrate the effectiveness of the method proposed in this article.

Date: 2011
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DOI: 10.1080/00207720903513368

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