Finite-time passive filtering for a class of uncertain Lipschitz nonlinear systems

The finite-time passive filtering for a class of nonlinear systems with uncertainties is considered. The nonlinear parameters are assumed to satisfy Lipschitz conditions. An optimal robust passive filter with respect to the finite-time interval is designed while the exogenous disturbances are unknown but norm bounded. Based on passivity theory and finite-time stability theory, the sufficient condition for the existence of finite-time robust passive filter is given by constructing appropriate Lyapunov function. And then, applying linear matrix inequalities techniques, the design method of the finite-time optimal passive filter is derived and can be obtained in the form of linear matrix inequalities. Finally, simulation results illustrate the effectiveness of the developed approaches.