Robust energy-to-peak filtering for uncertain systems based on sampled measurement

The problem of robust energy-to-peak filtering based on sampled measurement for uncertain systems is studied. Based on piecewise Lyapunov stability criterion, the sample interval dependent conditions for the existence of such filters are established, which are less conservative. The admissible filters can be obtained from the solution of convex optimization problems in terms of linear matrix inequalities, which can be solved via efficient interior-point algorithms. Finally, a numerical example is provided to illustrate the effectiveness of the proposed techniques.