Asymptotic linearization of uncertain nonlinear systems by means of continuous control

In this paper a new method for the solution of the asymptotic linearization of uncertain nonlinear systems by means of a continuous control law is presented. The main feature of this approach consists of a continuous first-order estimator and control laws with piecewise continuous derivatives. As an important by-product of this theory we can deal easily with the case of some uncertain systems which do not satisfy the matching condition, and with systems presenting first order unmodelled dynamics.