This paper is concerned with the design of mixed H2H ∞ controllers for discrete‐time delay systems and networked control systems. The controllers are obtained by solving a constrained optimization problem. Those constraints are suitably transformed into linear matrix inequalities, in such a way that the problem is solved using available algorithms. The stability is ensured resorting to the Lyapunov–Krasovskii theory. Additionally, the paper investigates an asynchronous event‐based sampling policy that allows a reduction of the bandwidth usage and the energy consumption. The relation between the boundedness of the stability region and the threshold that triggers the events is studied. The robustness and performance of the proposed technique is showed by numerical simulations.
