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.