H₂ Control for Sampled-Data Systems with Variable Sampling Rate

Abstract

In this paper, H₂ control is considered for sampleddata systems with variable sampling rate, where the H₂ control performance is introduced according to a standard sampled-data setting. A discrete-time H₂ control problem is employed for solving the original problem. Its solvability condition is then established as a parameter-dependent linear matrix inequality. A probabilistic approach is taken for coping with the parameter-dependency.