Design framework for continuous-time systems under sampled-data control

Abstract

In this paper we give a compact derivation of new formulae for the synthesis of H∞, sampled-data controllers for continuous-time, linear, time-invariant, generalised plants. The formulae are significantly more simple than those previously published and accommodate a direct feedthrough term from the disturbance inputs to the controlled outputs of the generalised plant. Furthermore, motivated by the H∞, loop-shaping procedure of McFarlane and Glover, we propose a performance based framework for sampled-data controller design. A preliminary design example is presented.