文章基本信息

标题：Interval Superposition Arithmetic for Guaranteed Parameter Estimation
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作者：Junyan Su ; Yanlin Zha ; Kai Wang 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：1
页码：574-579
DOI：10.1016/j.ifacol.2019.06.124
语种：English
出版社：Elsevier
摘要：AbstractThe problem of guaranteed parameter estimation (GPE) consists in enclosing the set of all possible parameter values, such that the model predictions match the corresponding measurements within prescribed error bounds. One of the bottlenecks in GPE algorithms, commonly exploiting set inversion, is the construction of enclosures for the image-set of factorable functions. In this paper, we introduce a novel set-based computing method called interval superposition arithmetics (ISA) for the construction of enclosures of such image sets and its use in GPE algorithms. The main benefits of using ISA in the context of GPE lie in the improvement of enclosure accuracy and in the implied reduction of the number of set-membership tests in the set-inversion algorithm.
关键词：KeywordsSet ArithmeticsInterval arithmeticsGuaranteed Parameter Estimation