Robust Adaptive Control of a Class of Nonlinear Systems and Its Applications

Abstract

<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> This paper addresses a global robust adaptive control problem for a class of uncertain nonlinear systems by output feedback control. The problem will be solved by the internal model design method. As our problem formulation includes the chaotic control and synchronization problem of some typical nonlinear systems as special cases, a direct application of our main result will lead to the solution of some interesting control problems such as the global disturbance rejection of the FitzHugh–Nagumo system and the robust output synchronization of the generalized Lorenz system and the harmonic system. </para>