Design of controller based on state sampled-data feedback

This paper focuses on the problem of stability analysis and control synthesis for linear systems with variable sampling. A novel piecewise Lyapunov-Krasovskii functional is constructed for stability analysis and controller design. Convex combination technique and inequality transformation are used to deal with nonlinear time-varying co-efficients derived from the Jensen's integral inequality. Based on the feasibility of a set of linear matrix inequalities (LMIs), the sufficient conditions of stabilization via sampled-data feedback are proposed. A numerical example is used to illustrate the effectiveness of the proposed method.