Control oriented data driven linear parameter varying model for proton exchange membrane fuel cell systems

Zhihua Deng, Qihong Chen*, Liyan Zhang, Yi Zong, Keliang Zhou, Zhichao Fu

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Proton exchange membrane fuel cell systems are widely used to drive vehicles. It is indispensable to establish accurate and simple control oriented model of the system. However, this control oriented model is difficult to build due to the characteristic of strongly nonlinear, coupled and time - varying in proton exchange membrane fuel cell systems. To solve this problem, nonlinear subspace identification method is proposed to discover linear parameter varying model for the proton exchange membrane fuel cell system. The modeling process can be divided into two stages. In the first stage, algebraic transformation method is proposed to transform the nonlinear model to linear parameter varying model. In the second stage, kernel method based subspace identification is presented to identify parameter matrices of the proton exchange membrane fuel cell system. The established model is demonstrated by a 50 kW on board proton exchange membrane fuel cell system under real driving condition. The results show that mean absolute percent error and root mean squared error are as low as 9.6941e−06 and 0.0957, respectively. Therefore, the control oriented model perfectly agrees with real data. Compared with the prediction error method and recursive neural network nonlinear auto - regressive moving average model with exogenous method, modeling accuracy and speed of the proposed method are the best. Moreover, linear control theory can be employed to design controller based on the linear parameter varying model, which greatly simplifies controller design for proton exchange membrane fuel cell systems.

Original languageEnglish
Article number115540
JournalApplied Energy
Volume277
Number of pages8
ISSN0306-2619
DOIs
Publication statusPublished - 1 Nov 2020

Keywords

  • Data driven modeling
  • Kernel method
  • Linear parameter varying system
  • Nonlinear subspace identification method
  • Proton exchange membrane fuel cell system

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