Reset observers for linear time-delay systems. A delay-independent approach

A Reset observer (ReO) is a novel sort of observer consisting of an integrator, and a reset law that resets the output of the integrator depending on a predefined condition over its input and/or output. The introduction of the reset element in the adaptive laws can decrease the overshooting and settling time of the estimation process without sacrificing the rising time. Motivated by the interest in the design of state observers for systems with time-delay, which is an issue that often appears in process control, this paper contributes with the extension of the ReO to the time-delay system framework. The time-independent stability analysis of our proposal is addressed by means of linear matrix inequalities (LMIs). Simulation results show the potential benefit of the proposed reset observer compared with traditional linear observers.