AccScience Publishing / NSCE / Online First / DOI: 10.36922/NSCE026180016
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RESEARCH ARTICLE

An effective method and control structure for proton exchange membrane fuel cells

Štefan Kozák1†* ,  Rastislav Putala2† ,  Viktor Ferencey3 ,  Peter Mlynár2
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1 Institute of Applied Informatics, Faculty of Informatics, Pan-European University, Bratislava , Slovakia
2 Institute of Energy Machinery, Faculty of Mechanical Engineering, Slovak University of Technology, Bratislava , Slovakia
3 Hydrogen Fuel Cells Slovakia, Bratislava , Slovakia
†These authors contributed equally to this work.
Received: 30 April 2026 | Revised: 24 September 2026 | Accepted: 28 September 2026 | Published online: 16 October 2026
© 2026 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
Abstract

The nonlinear and dynamic behavior of PEM fuel cells presents challenges for voltage regulation and motivates the development of advanced control strategies. This paper investigates advanced control methods for nonlinear processes in proton exchange membrane (PEM) fuel cell applications and presents a control structure for a 500 W Horizon H-500 PEM fuel cell. This fuel cell is represented by a nonlinear Hammerstein–Wiener model that was identified from experimental data. The study focuses on voltage regulation by reactant mass flow. The control structure uses a simplified approach with predefined constant stoichiometric ratios for reactant flow calculation instead of variable ratios based on the actual operating conditions of the fuel cell. Since PEM fuel cells are highly nonlinear systems, it is necessary to use control approaches that can handle these nonlinearities. Four advanced control approaches are discussed:  the linear quadratic regulator (LQR) with an integral term and gain scheduling (GS-LQR-I), sliding mode control, nonlinear model predictive control, and fuzzy logic control, each offering different trade-offs in terms of robustness, stability, and computational complexity. Among the considered approaches, GS-LQR-I was selected for implementation and further investigation. The LQR approach is based on a linear model of the controlled system. Therefore, local linear models needed to be derived from the nonlinear Hammerstein–Wiener model for gain-scheduled controller design. The resulting discrete-time closed-loop systems were analyzed using quadratic Lyapunov functions and the eigenvalues of the corresponding closed-loop system matrices. Numerical and graphical results for the selected GS-LQR-I method are presented. Control of PEM fuel cells is an important area of research and applied development because operating conditions strongly affect their efficiency, dynamic behavior, and lifetime. The proposed method demonstrated satisfactory control performance under the investigated operating conditions.

Graphical abstract
Keywords
Proton exchange membrane fuel cell
Hammerstein–Wiener model
Control methods
Nonlinear system identification
Dynamic modeling
Reactant starvation
Funding
The paper is supported by project GAAA/2024/27 “Research of algorithms for process, control methods (conventional, advanced, robust and intelligent), edge computing and platforms for industrial process control.
Conflict of interest
The authors declare they have no competing interests.
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