Robust Nonlinear Control Associating Robust Feedback Linearization and<tex>$ H_infty$</tex>Control

Abstract

In this note, a nonlinear controller for a nonlinear system subject to model uncertainties is proposed. Such a controller associates a robust feedback with a linear H/sub /spl infin// controller. The feedback linearization exactly transforms the nonlinear system into a linear system equal to the linear approximation of the original nonlinear system around a nominal operating point. The robustness of the resulting overall nonlinear controller is proved by theoretical arguments and illustrated through an application example, the control of a magnetic bearing system.