文章基本信息

标题：Copositive Conditions for LMI-Based Controller and Observer Design
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作者：Juan Carlos Arceo ; Jimmy Lauber
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：7959-7964
DOI：10.1016/j.ifacol.2020.12.2195
语种：English
出版社：Elsevier
摘要：AbstractIn this report we illustrate that nonlinear control and observer design can be described as a Positivstellensatz problem, we consider a quadratic candidate function to stabilize nonlinear systems that have been modeled via the nonlinear sector methodology as an exact convex representation. New shape-independent conditions for satisfying positiveness in double sums are established based on the concept of copositivity. The conditions obtained are compared with previous approaches found in the literature via a numerical example.
关键词：KeywordsCopositiveExact Convex RepresentationsLinear Matrix Inequalities (LMIs)Nonlinear SectorFuzzy SystemsRelaxed ConditionsTakagi-Sugeno