文章基本信息

标题：Reducing the number of vertices in some Takagi-Sugeno models: example in the mechanical field ⁎
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作者：Thierry-Marie Guerra ; Miguel Bernal ; Mathias Blandeau 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：10
页码：133-138
DOI：10.1016/j.ifacol.2018.06.250
语种：English
出版社：Elsevier
摘要：AbstractThis paper is concerned with the building of application-oriented model-based Takagi-Sugeno models that arise from sector nonlinearity methodology. Despite its exactness, this modeling technique produces a polytopic embedding with a number of vertices of 2 raised to the number of nonlinearities which, if high, represents a rapid growth in the number of linear matrix inequalities (needed to solve even the simplest control and observation schemes). A solution for model reduction is proposed based on the similarity of Taylor approximations amongst nonlinearities, with a measurable bound on the approximation, which - as proven with a suitable application example - brings the methodology closer to real-time demands.
关键词：KeywordsModel-based controlModel reductionConvex optimizationTakagi-Sugeno modelsLinear Matrix Inequalitiesmechanical systems