文章基本信息

标题：Bounds for Input- and State-to-Output Properties of Uncertain Linear Systems ∗
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作者：Giorgio Valmorbida ; Dhruva Raman ; James Anderson 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2015
卷号：48
期号：14
页码：1-6
DOI：10.1016/j.ifacol.2015.09.424
语种：English
出版社：Elsevier
摘要：AbstractWe consider the effect of parametric uncertainty on properties of Linear Time Invariant systems. Traditional approaches to this problem determine the worst-case gains of the system over the uncertainty set. Whilst such approaches are computationally tractable, the upper bound obtained is not necessarily informative in terms of assessing the influence of the parameters on the system performance. We present theoretical results that lead to simple, convex algorithms producing parametric bounds on the ℒ2-induced input-to-output and state-to-output gains as a function of the uncertain parameters. These bounds provide quantitative information about how the uncertainty affects the system.
关键词：KeywordsRobust controlUncertainty analysisLinear systemsSemi-definite Programming