LMI feasibility improvement to design observers for a class of Lipschitz nonlinear systems
Résumé
This paper deals with the observer design for a class of nonlinear Lipschitz systems via Linear Matrix Inequalities~(LMIs) based approach. Using some mathematical matrix decompositions, general LMI conditions ensuring the exponential convergence of the estimation error are provided. Thanks to linear and/or nonlinear transformations, these LMIs are enhanced from feasibility viewpoint.