We propose a new output feedback reset control architecture for linear continuous-time plants, where the dwell-time parameter corresponds to a quantified interval of time where the controller state and the plant input are freezed, thus providing a constant plant input. For this new architecture we first prove a stability and performance analysis test, based on certain strict Lyapunov conditions, and show that these reduce to LMIs when using quadratic Lyapunov certificates. Then we follow typical LMI-based characterizations of plant-order linear output feedback controller designs thus providing an optimality-based procedure for the design of the controller parameters involving a set of LMIs coupled with a line search of a few parameters. The proposed construction is illustrated on a numerical example.