A New Matrix Multiplier-Based LMI Approach for Nonlinear Observers

Abstract

This paper addresses the problem of LMI based observer design for Lipschitz nonlinear systems. A new observer design technique is proposed which is based on the introduction of a newly defined positive definite matrix multiplier in the LMI formulation. A numerical example along with a flexible link robot model are investigated in MATLAB/Simulink to show the effectiveness of the proposed method.