文章基本信息

标题：Data-Driven Quadratic Stabilization of Continuous LTI Systems ⁎
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作者：Tianyu Dai ; Mario Sznaier ; Biel Roig Solvas 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：3965-3970
DOI：10.1016/j.ifacol.2020.12.2252
语种：English
出版社：Elsevier
摘要：AbstractThis paper introduces a simple data-driven quadratic stabilization control (DDQSC) method to design a state feedback controller based solely on experimental measurements while avoiding explicitly identifying the plant. Rather, we seek a controller guaranteed to quadratically stabilize all plants that could have possibly generated the observed data. While in principle this leads to a very challenging non-convex robust optimization problem, our main result provides a convex, albeit infinite-dimensional, necessary and sufficient condition for the existence of such a controller and its associated Lyapunov function. In the second part of the paper, we provide a tractable finite-dimensional convex relaxation of this condition and illustrate its effectiveness with several examples.
关键词：KeywordsData-Driven ControlRobust ControlQuadratic StabilitySemi-Definite Programming