LPV approach for the stabilization of a class of nonlinear dynamical systems
Résumé
In this note, we investigate the problem of H-inf observer-based state feedback controllers for a class of Lipschitz nonlinear systems. A simple systematic and useful synthesis method is proposed. Thanks to the use of the Differential Mean Value Theorem (DMVT), separation results are obtained. The synthesis conditions are given in term of Linear Matrix Inequalities (LMIs), easily tractable by convex optimization algorithms. Based on some mathematical tools such as Barbalat's lemma and convergence of series, an asymptotic convergence towards zero is provided in the H-inf free context. Two numerical examples are given in order to show performances of the proposed method