H∞ filter for sampled-data systems with sensor saturation

The problem of H ∞ filtering problem for sampled-data system in the presence of sensor saturation has been investigated. By utilizing discontinuous Lyapunov function as well as linear matrix inequality, sufficient conditions of asymptotical stability and prescribed H ∞ performance for the filtering error system are given. Based on the conditions, the H ∞ filter exists if certain matrix inequalities are solvable. Finally, a simulation example is employed to show the effectiveness of the proposed H ∞ filter design method.