Observer Design for a Certain Class of Nonlinear Systems

This paper investigates the observers design for a class of nonlinear dynamical systems. Our main contribution consists in the extension of the work in Arcak, M. et al, (2001-2003) to a more general class of nonlinear systems. This extension is obtained by means of the differential mean value theorem. The stability analysis is performed using a standard Lyapunov function that leads to the solvability of an easily tractable linear matrix inequality (LMI). Numerical examples are provided in order to demonstrate the good performance of the proposed approach and the large class of nonlinear dynamical systems that are concerned