Model-based networked control system stability based on packet drop distributions

Abstract

This paper studies the system stability of a Model-Based Networked Control System in the cases where packet losses follow a certain distributions. In this study, the unreliable nature of network links is modelled as a stochastic process. This process provides us two system structures, representing packets dropped and received respectively. This new system with two structures is asymptotically stable, if the plant model is updated with the data from plant within the maximum interval and the packet drop follows discrete distributions with finite expectations such as Uniform Distribution and Bernoulli distribution. If the packet loss follows discrete distributions with infinite expectation such as Poissonian Distribution, the stochastic system is stable when the biggest interval is limited to the maximal update time interval. These results are verified in simulations.