ABSTRACT
This chapter addresses the filtering problem for a class of discrete-time stochastic nonlinear networked systems with multiple random communication delays and random packet losses. The communication delay and packet loss problems, which are frequently encountered in communication networks with limited digital capacity, are modeled by a stochastic mechanism that combines a certain set of indicator functions dependent on the same stochastic variable. The chapter aims to design a linear filter such that, for the admissible random incomplete measurement phenomenon, stochastic disturbances as well as sector nonlinearities, the filtering error dynamics is exponentially mean square stable. It characterizes the filter gain in terms of the solution to a set of linear matrix inequality. A simulation example is exploited for a nonlinear stochastic networked control model in order to demonstrate the effectiveness of the proposed design procedures. The chapter presents a simulation example to illustrate the usefulness and flexibility of the filter design method developed.
