High-Gain Nonlinear Observer Using System State Augmentation

This paper deals with the problem of state estimation of dynamic systems with Lipschitz nonlinearities using a new high gain observer design. The aim of this new design procedure is to reduce the value of the tuning parameter and the observer gain compared to the standard high gain observer on the one hand without solving a set of LMIs as in the LMIbased observer on the other hand. Towards this end, a novel approach based on system state augmentation that transforms the original system of dimension n into a new system whose dimension is (n + js), where the new nonlinear function does not depend on js last components of the new state. A numerical example is reported to evaluate the effectiveness of the proposed observer for different values of the Lipschitz constant.