A regulator for a class of unknown continuous-time nonlinear systems

We introduce a control law for a class of unknown nonlinear continuous-time systems in which full state measurements are available, We show that as lo ng as a certain feedback gain parameter is sufficiently large, the closed-l oop system is stable. Furthermore, the magnitude of the control is bounded in the limit. As a corollary to the main result, we show that first-order n onlinear systems in the class we consider can be stabilized using linear pr oportional integral controllers, and we give explicit tuning rules for thes e controllers. (C) 2001 Elsevier Science B.V. All rights reserved.