Static Output Feedback Controller Design for Nonlinear Descriptor Systems Via Relaxed LMI Conditions

Abstract

This paper presents an alternative to design a static output feedback controllers for nonlinear descriptor systems. The methodology is based on the direct Lyapunov method, from which, after a convex rewriting of the original nonlinear systems, conditions in the form of linear matrix inequalities are obtained. The proposal is shown to be more relaxed than previous ones in two ways; first, unmesaurable nonlinearities can be directly considered and, second, more flexibility can be obtained with the selection of different slack variables; such advantages are illustrated via numerical examples.