The l_2-l_∞ filtering for networked systems with random communication delays

The l2-l∞ filtering problem for networked systems with random communication delays is discussed.And the delays are assumed to be the linear functions of the stochastic variables that satisfy Bernoulli random binary distribution.The full-order filters are obtained.The filter error systems are exponentially mean-square stable and a prescribed energy-to-peak disturbance attenuation level is guaranteed in term of linear matrix inequalities(LMIs).The filters are obtained by solving the LMIs using convex optimization techniques.A numerical example shows the validity of the proposed design approach.