A design framework for continuous-time systems under sampled-data control

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 (1990), we propose a performance based framework for sampled-data controller design. A preliminary design example is presented