The H∞ resilient filter design for a class of Lipschitz nonlinear systems

The H-infinity filter design problem for a class of Lipschitz nonlinear systems is studied in this paper. The nonlinear parameters are assumed to satisfy with Lipschitz conditions. We aim to design a resilient filer, which can estimate the states of the nonlinear systems while also satisfying the given H-infinity index and resist to the resilient disturbances of the filter parameters. By constructing an appropriate Lyapunov function and applying linear matrix inequalities techniques, the sufficient condition of existence of the resilient filter is given and the relevant filter gain can be solved. Finally, simulation result illustrates the validity of the propose approach.