Robust output feedback control of networked control systems with random delay modeled by Markov Chain

This paper investigates the problem of robust stabilization for uncertain networked control systems (NCSs) with random time delay via the output feedback control. A mode dependent controller is proposed by modeling the random delay as a Markov Chain. The resulting closed-loop system is expressed as a Markovian jump linear system (MJLS) with mode-dependent delay. Based on Lyapunov-Krasovskii method, robust stability condition and controller design method for such networked control systems with structured uncertainties are presented. The result is formulated in terms of LMIs. Output feedback gain can then be derived by using the feasible solution of LMIs. Simulation example demonstrates the feasibility and effectiveness of the proposed approach.