Mazenc, F.Ahmed, S.2019-02-212019-02-2120182405-8963http://hdl.handle.net/11693/49885We study a broad class of linear continuous-time time-varying systems that contain piecewise continuous disturbances and piecewise constant outputs. Under an observability assumption, we construct a new type of observer to estimate the state of the system in a predetermined finite time in the presence of the disturbances. In contrast to the well-established finite time observer design techniques which estimate the system state using a continuous output, our proposed observer only requires a piecewise constant output. Our simulations illustrate the efficacy of our observer.EnglishEstimationFinite time convergenceObserverArticle10.1016/j.ifacol.2018.07.330