High-gain observer design with sampled measurements: application to inverted pendulum

New results on high-gain observer design for sampled-data systems are presented for a large class of nonlinear uniformly observable systems. It is shown that by using an appropriate Lyapunov function, it is possible to design a continuous high-gain observer coupled with a large class of output predictors. An explicit bound on the maximum allowable sampling interval guaranteeing stability of the observation error is given. This result is illustrated on an experimental setup.