Robust H∞ control of uncertain networked control systems with dropout compensation and Markov jumping parameters

Robust H_infin control of the uncertain networked control systems is studied in this paper, and these systems have a general framework, which is uncertainty, delay, packet loss, disturbance, etc. Network-induced delays are modeled as Markov chains, dropout compensator between sensor and controller is presented and systems communicate data and signals via output feedback with state observer. Based on stochastic stability theory, a sufficient condition on the existence of robust H_infin disturbance attenuation level is derived. In terms of the LMI (linear matrix inequality) approach, an output-feedback control law is obtained, which stochastically stabilizes the networked control systems with H_infin norm bound gamma. A convex optimization problem with LMI constraints is formulated to design the optimal H_infin controllers. A numerical example demonstrates the effectiveness of the proposed approach.