Stabilization Control for a Kind of Finite Probabilistic Transition System Subjects to Communication Faults

For networked control systems (NCS) with data packet dropouts and bounded time delay, stabilization control was studied in this paper: Data flow transmission faults such as data packet dropout and time delay are integrated into a kind of signal delay problem by using high-rate asynchronous sampling and refining sampling period. Any case of signal transferring delay is marked with time stamp and described as a kind of stochastic event with constraint. Then original system can be converted to finite probabilistic transition system by zero-order-holder. Sufficient condition for mean square stability is derived by Lyapunov stability theory, controller feedback gain matrix is obtained by solving linear matrix inequality(LMI). Finally, the effectiveness of the proposed approach is verified by numerical simulations. System which can be refined sampling period easily is stabilized directly by the proposed approach.