Study of the Stabilization of Uncertain Nonlinear Systems Controlled by State Feedback

The control of a process by poles placement is one of the most used forms of feedback control. It allows not only to stabilize a process, but also to control its dynamic. Furthermore, the optimal controls with quadratic criteria of linear systems in fact lead to the pole placement. In this work, we present an approach to the stabilization of nonlinear systems in presence of uncertainties using poles placement by state feedback and the determination of attractors by diagonalization of the characteristic matrices linearized around operating points and using aggregation techniques.