Abstract

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 long as a certain feedback gain parameter is sufficiently large, the closed-loop 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 nonlinear systems in the class we consider can be stabilized using linear proportional integral controllers, and we give explicit tuning rules for these controllers.

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