Proton exchange membrane (PEM) fuel cells are electrochemical devices that covert the chemical energy to electricity directly.This study was concentrated on the air supply system.This paper presented an improved four order fuel cell air supply system model

analyzing its constraints.And the linear parameter varying (LPV) model was proposed to deal with the non-linear characteristics of the dynamic model.To cope with the problem of immeasurable states

the Kalman filter was used to estimate the states and the output variables which should be measured were selected.Additionally

the state space model predictive control algorithm satisfying the constraints is designed based on LPV model to control the compressor voltage to ensure an adequate response to hydrogen fuel.Simulation results showed that model predictive controller based on LPV model is able to effectively control the fuel cell air system

and to meet the compressor surge and blocking boundary conditions and other constraints

Comparing with single model predictive control

better control performance was obtained with the proposed LPV-MPC.