Homogeneous observers with dynamic high gains

International audienceWe propose an extension of the well-known high-gain observer design by incorporating an update law for the gain as well as higher order output error terms in the correction. This extension is obtained by applying techniques of dynamic scaling and homogeneity in the bi-limit. This allows a wider class of systems in feedback form to be dealt with. Furthermore, the gains of the observer obtained are adaptated to the local incremental rate of the nonlinearities