文章基本信息

标题：Shape-Based Nonlinear Model Reduction for 1D Conservation Laws
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作者：Denis Nikitin ; Carlos Canudas-de-Wit ; Paolo Frasca 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：5309-5314
DOI：10.1016/j.ifacol.2020.12.1216
语种：English
出版社：Elsevier
摘要：AbstractWe present a novel method for model reduction of one-dimensional conservation law to the dynamics of the parameters describing the approximate shape of the solution. Depending on the parametrization, each parameter has a well-defined physical meaning. The obtained ODE system can be used for the estimation and control purposes. The model reduction is performed by minimizing the divergence of flows between the original and reduced systems, and we show that this is equivalent to the minimization of the Wasserstein distance derivative. The method is then tested on the heat equation and on the LWR (Lighthill-Whitham-Richards) model for vehicle traffic.
关键词：KeywordsModel reductionpartial differential equationstraffic control