State feedback control of uncertain networked control systems with disturbance attenuation

In this paper, the state feedback stabilization of uncertain networked control systems (NCSs) is addressed in which both robust stability and a prescribed disturbance attenuation performance for the closed-loop NCS are achieved irrespective of the uncertainties and network-induced effects, i.e., network-induced delays and packet dropouts. Markov chain is used to model the overall random network induced delays. The resulting closed-loop system is transformed to a Markovian jump linear system (MJLS) with mode-dependent delay. Based on Lyapunov-Krasovskii method, robust H_∞ stability condition and controller design method for such NCSs with structured uncertainties are presented. The result is formulated in terms of LMIs. Simulation example illustrates the feasibility and effectiveness of the proposed method.