OBSERVER BASED CONTROL FOR PRACTICAL STABILIZATION OF ONE-SIDED LIPSCHITZ NONLINEAR SYSTEMS

Abstract

This paper focuses on the observer design for a class of nonlinear systems involving bounded disturbances. This class of systems is a larger class of nonlinearities than the Lipschitz. We provide sufficient conditions for the observer design based on the one-sided Lipschitz and quadratically inner-bounded ones. In addition, we show the practical stability of the closed-loop system. Furthermore, we establish a separation principle for a class of nonlinear systems with bounded uncertain part. We also give a numerical example to demonstrate the effectiveness and applicability of the proposed controller.