Control‐oriented LPV Modeling for the Air Supply System of Proton Exchange Membrane Fuel Cells

Abstract Air supply system, as a crucial subsystem of proton exchange membrane fuel cells (PEMFC), plays a very significant role in the efficiency and the reliability of the system. In order to better control the air supply subsystem, an appropriate model needs to be established to describe the subsystem covering whole working conditions from PEMFC startup to shutdown. This paper propose a linearized parameter varying (LPV) model based on system identification. To describe the subsystem in different working conditions, the subsystem is identified near 7 equilibrium points. Identification results show that the subsystem can be described as several linear models near equilibrium points. Based on these linear models, a LPV model is proposed solving 2‐D interpolation problem. It is proved theoretically that LPV system has the same steady‐state character and linear model at equilibrium points with identification models. The simulation and experiments results also verify that the LPV model can cover the working conditions from PEMFC startup to shutdown with accuracy both in dynamic condition and steady state.