Nash Strategy Applied to Active Magnetic Bearing Control

Authors:	Jungers Marc, SATIE (UMR 8029) ENS CACHAN, France, Metropolitan Franco Ana Lucia Driemeyer, DAS/CTC Federal University of Santa Catarina, Brazil De Pieri Edson, DAS/CTC Federal University of Santa Catarina, Brazil Abou-Kandil Hisham, SATIE (UMR 8029) ENS CACHAN, France, Metropolitan
Topic:	2.4 Optimal Control
Session:	Dynamic Games: Theory and Numerical Methods
Keywords:	Active magnetic bearing, magnetic levitation, games theory, Nash strategy, multivariable system, coupled algebraic Riccati equations

Abstract

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.