Output-feedback control for sampled-data systems with variable sampling rate

Abstract

ABSTRACTIn this paper, we propose design method of controller for sampled-data systems with variable sampling rate. First, we give design method for both H2 and H∞ controller. For H2 control, performance of the system 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. H∞ controller is designed by almost the same manner. Applying both results, we have design method for multi-objective control.