Inductances and force computation using Multiple model approach to nonlinear modeling and control of a pm linear synchronous actuator

ABSTRACT Multiple-model approach is an interesting alternative and a powerful tool for modelling complex process. This paper presents the analysis and modeling of nonlinear coupling functions using multiple model approach. Based on a 2D axisymmetric finite element model, a multi-physical model of a pm linear synchronous actuator is built, interpolated and computed over one pole pitch and for different current densities. Each linearized model is a local representation of the electromagnetic and the electro-mechanic coupling functions under or over saturation conditions. These models are then combined to describe the nonlinear behavior of the actuator. The proposed method conserves all the properties of this system against the reduction order methods. We use an uncoupled state multiplemodel in opposition to the classically used coupled state multiple model (Takagi-Sugeno). We demonstrate performance and computational efficiency of the modeling and control scheme using Matlab simulations. Keywords: synchronous actuator, multiple model approach, coupling functions.