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. (C) 2001 Elsevier Science B.V. All rights reserved. [References: 14]
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