基于李群理论的汽油发动机尾气分析模型匹配算法研究

摘要

A model of gasoline engine exhaust analysis based on Li group theory is presented to analyze the rule of engine exhaust emissions. According to the nonlinear change of engine exhaust, the model builds Li group affine model by exponential mapping relationship between Lie algebra and Li group, and the main pollutant components are modeled in the stream topological space. The status of exhaust is right or not can be known by Li group model matching. The method effectively improves the accuracy and efficiency of the non-linear model by exploiting the manifold topological information of data. The experimental results in the Ford Mondeo car show that the model can get higher accuracy and match status of gasoline engine exhaust.%为了准确对发动机尾气排放状态和规律进行分析,本文提出了一种基于李群理论的汽油发动机尾气分析模型.该模型针对尾气排放量的非线性变化特征,利用李代数和李群之间的指数映射关系建立李群仿射模型,然后在流行拓扑空间上对尾气中主要污染物的含量进行建模.通过模型匹配算法实现对尾气排放状态的正常与否进行分析.该方法利用数据的流行拓扑信息,有效提高了非线性建模和匹配的准确性和效率.在福特蒙迪欧牌轿车上的实验结果表明,该模型能够以较高精度对汽油机尾气排放状况进行建模和状态匹配.