Filtering for Nonlinear Discrete-Time Networked Control Systems with Incomplete Measurements and Stochastic Disturbances

Abstract

This paper is concerned with the filtering problem for a class of discrete-time stochastic nonlinear networked control systems with network-induced incomplete measurements. The incomplete measurements include both the multiple random communication delays and random packet losses, which are modeled by a unified stochastic expression in terms of a set of indicator functions that dependent on certain stochastic variable. By using the linear matrix inequality (LMI) method and delay-dependent technique, sufficient conditions are derived which are dependent on the occurrence probability of both the random communication delays and missing measurement. A simulation example is exploited to demonstrate the effectiveness of the proposed design procedures.