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李飞,赵冬冬,皇甫宜耿,赵国胜.适用于PEMFC系统状态估计的鲁棒非线性观测器[J].电源学报,2019,17(2):19-25
适用于PEMFC系统状态估计的鲁棒非线性观测器
Robust Nonlinear Observer for State Estimation of PEMFC System
投稿时间:2018-11-30  修订日期:2019-02-28
DOI:10.13234/j.issn.2095-2805.2019.2.19
中文关键词:  鲁棒非线性系统观测器  质子交换膜燃料电池  过氧比  线性矩阵不等式
英文关键词:robust nonlinear system observer  proton exchange membrane fuel cell(PEMFC)  oxygen excess ratio(OE-R)  linear matrix inequality(LMI)
基金项目:国家自然科学基金资助项目(51507143);陕西省重点研发计划资助项目(2018GY-167)
作者单位E-mail
李飞 西北工业大学自动化学院, 西安 710129 2928781022@qq.com 
赵冬冬 西北工业大学自动化学院, 西安 710129  
皇甫宜耿 西北工业大学自动化学院, 西安 710129  
赵国胜 西北工业大学自动化学院, 西安 710129  
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中文摘要:
      针对质子交换膜燃料电池PEMFC(proton exchange membrane fuel cell)系统的强非线性及强耦合特性,提出一种适用于PEMFC系统过氧比OER(oxygen excess ratio)估计的鲁棒非线性系统观测器,解决PEMFC系统中难于利用传感器直接测量的状态变量(如供应管道中空气质量、阴极侧氧气以及氮气质量等)准确估计的问题。通过矩阵变换,利用微分中值定理将动态误差系统转化为线性变参数系统。基于李雅普诺夫稳定性理论和凸性原理,将观测器设计问题转化为线性矩阵不等式LMI(linear matrix inequality)可行性问题。仿真结果表明所设计的观测器具有良好的收敛特性。
英文摘要:
      In light of the strong nonlinearity and coupled characteristics of a proton exchange membrane fuel cell(PEMFC) system, a robust nonlinear system observer for the oxygen excess ratio(OER) estimation of the PEMFC system is proposed in this paper, which solves the problem of accurately estimating the state variables(e.g., air mass in the sup-ply manifold, oxygen mass and nitrogen mass in the cathode side) that cannot be directly measured by sensors in the PEMFC system. Through matrix transformation, the differential mean value theorem is used to transform the dynamic error system into a linear variable parameter system. Based on the Lyapunov stability theory and convexity principle, the observer design problem is transformed into a linear matrix inequality(LMI) feasibility problem. Simulation results show that the designed observer has satisfying convergence characteristics.
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