H ∞  filtering for impulsive networked control systems with random packet dropouts and randomly occurring nonlinearities

Summary In this paper, the problem of H ∞ filtering for impulsive networked control systems with random packet dropouts and randomly occurring nonlinearities is investigated. By utilizing an impulsive model, the network‐induced imperfections including packet dropout and delay are described by the Bernoulli distributed sequence. The delay in the model is assumed to be time varying. Moreover, nonlinearity in the model is assumed to satisfy sector‐like nonlinearities. The H ∞ filter is designed by using the linear matrix inequality (LMI) approach and convex optimization technique. The filter gain matrices for the nonlinear networked control systems can be achieved by solving LMIs, which can be easily facilitated by using some standard numerical packages. Finally, a numerical example is presented to demonstrate the effectiveness and applicability of the proposed results. Copyright © 2014 John Wiley & Sons, Ltd.