H∞ filter based-controller for a class of continuous time nonlinear singular systems

Abstract

This paper deals with the problem of H∞ observer-based stabilization of a class of nonlinear singular systems. We propose an extension of the results on the observer-based controller design in the case of the standard systems to the case of the nonlinear singular systems. We give a sufficient conditions for the stability of the state feedback controller, and give a closed-loop system with state estimate feedback controller. These last are expressed in terms of strict linear matrix inequalities.