Model predictive control nonlinear system of active magnetic bearings for a flywheel energy storage system

Abstract

This paper proposes the model predictive control (MPC) approach in order to control the nonlinear multiple-input-multiple-output (MIMO) system. A nonlinear model of a five degree of freedom (DOF) flywheel energy storage system (FESS) obtained using Lagrange’s equation is proposed. The so-called MPC technique is proposed not only to out-perform the proportional integral differential (PID) control but also to show some advantages. Firstly, the MPC technique optimally solves the energy control problem in the FESS systems. Secondly, in order to cope with hard constraints on controls and states, its ability is showed explicitly in this study. A numerical example has been obtained and compared with the conventional PID control.