Improving the performance of linear systems by adding a hybrid loop: The output feedback case

In this paper, we extend the state feedback results of Prieur et al. (NOLCOS 2010) to the linear output feedback case, when the plant state is not available and is estimated via a Luenberger observer. We propose two techniques based on different reset maps and flow and jump sets, guaranteeing global practical asymptotic stability of the origin of the closed-loop system. The effectiveness of the solutions is illustrated on a simulation example where we show suitable reduction of the output overshoot.