Robust H_∞ filtering of nonlinear networked systems with multiple stochastic communication delays

This paper is concerned with the robust H_∞ filtering problem for a class of uncertain nonlinear networked systems with both multiple stochastic time-varying communication delays and multiple packet dropouts. The discrete-time system under consideration is also subject to parameter uncertainties, state-dependent stochastic disturbances and sector-bounded nonlinearities. Sufficient conditions are derived for a linear full-order filter such that the estimation error converges to zero exponentially in the mean square while the disturbance rejection attenuation is constrained to a give level by means of the H_∞ performance index. The explicit expression is then given for the desired filter parameters. A numerical example is exploited to show the usefulness of the results derived.