Abstract
This paper addresses and solves two optimal state-feedback control design problems for sampled-data systems. First, we reformulate the closed-loop system as a special linear hybrid system. Then, two theorems are developed to evaluate the ℋ2 and the ℋ∞ performances of hybrid systems using specific two-point boundary value problems. Both theorems are adapted to provide optimal control conditions, based on linear matrix inequalities (LMIs), for the state-feedback problems under consideration. These results are generalised to cope with non-uniform data-rates in the communication channel between the controller and the plant.
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