Nash Strategy applied to Active Magnetic Bearing Control

In this paper, Nash strategy is applied for controlling an active magnetic bearing. Different criteria are associated to each input of the dynamical system. The Nash controls are associated with Coupled Algebraic Riccati Equations. A state feedback from Nash strategy is designed based on a linearized system. A comparison of Nash and LQ control, applied to the non-linear system, is proposed in the case of exact and perturbed parameters knowledge.