Observer design for some classes of uniformly observable nonlinear hybrid systems

This paper deals with the synthesis of high gain observers for uniformly observable nonlinear hybrid systems. First, the single output-case is treated and then an extension is made to a particular class of multi-output hybrid systems. In effect, a high gain observer is proposed allowing the estimation of both the continuous states and the discrete location of the system. This is done by using techniques borrowed from the area of model-based fault detection whereby observers are employed for residual generation. Simulation results on a tank process are given in order to highlight the performances of the proposed observer.