OBSERVER-BASED ADAPTIVE STABILIZATION FOR A CLASS OF NONLINEAR-SYSTEMS

We determine via geometric conditions a class of single-input, single-output non-linear systems, linear with respect to an unknown constant parameter vector, which are globally stabilizable by an adaptive observer-based control. The only restriction on the non-linearities is the dependence, in suitable coordinates, on the output only: they are not restricted by sector or global Lipschitz conditions. When the parameter vector is known we obtain, as a special case, new sufficient conditions for global output feedback stabilization.