A high gain PI controller for a class of nonlinear systems

Abstract

In this paper, the asymptotic tracking problem is considered for a class of multivariable nonlinear systems by using the principles of singular perturbation theory. Sufficient conditions together with a high-gain PI controller are given for a solution to exist. An application study of a three-link rigid robotic manipulator is included to illustrate the type of results which may be obtained by using the proposed controller.