Stability of Networked Control Systems with Random Buffer Capacity

Abstract — Stability of the discrete-time networked control systems is analysed, where the controller is updated with the buffered sensor information at stochastic intervals and the amount of the buffered data for transmission under the buffer capacity constraint is time-varying. The adopted controller switches between open-loop and closed-loop modes to estimate the plant behaviour. The sufficient condition for the Lyapunov stability with the generic arbitrary transmission is derived, and the sufficient conditions for the mean square stability with the Markovian transmission are also established. An example is given to demonstrate the effectiveness of our method. Index Terms — Networked control systems, buffer capacity constraint, Lyapunov stability, mean square stability I