Fast Model Predictive Control of PEM Fuel Cell System Using the L 1 Norm

Robert Nebeluk and Maciej Ławryńczuk
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Robert Nebeluk: Institute of Control and Computation Engineering, Faculty of Electronics and Information Technology, Warsaw University of Technology, ul. Nowowiejska 15/19, 00-665 Warsaw, Poland
Maciej Ławryńczuk: Institute of Control and Computation Engineering, Faculty of Electronics and Information Technology, Warsaw University of Technology, ul. Nowowiejska 15/19, 00-665 Warsaw, Poland

Energies, 2022, vol. 15, issue 14, 1-17

Abstract: This work describes the development of a fast Model Predictive Control (MPC) algorithm for a Proton Exchange Membrane (PEM) fuel cell. The MPC cost-function used considers the sum of absolute values of predicted control errors (the L 1 norm). Unlike previous approaches to nonlinear MPC-L 1 , in which quite complicated neural approximators have been used, two analytical approximators of the absolute value function are utilised. An advanced trajectory linearisation is performed on-line. As a result, an easy-to-solve quadratic optimisation task is derived. All implementation details of the discussed algorithm are detailed for two considered approximators. Furthermore, the algorithm is thoroughly compared with the classical MPC-L 2 method in which the sum of squared predicted control errors is minimised. A multi-criteria control quality assessment is performed as the MPC-L 1 and MPC-L 2 algorithms are compared using four control quality indicators. It is shown that the presented MPC-L 1 scheme gives better results for the PEM.

Keywords: proton exchange membrane fuel cell; model predictive control; optimisation; L1 cost function (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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