文章基本信息

标题：Observer design for piecewise smooth and switched systems via contraction theory * * Corresponding author Mario di Bernardo.
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作者：Davide Fiore ; Marco Coraggio ; Mario di Bernardo 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2017
卷号：50
期号：1
页码：2959-2964
DOI：10.1016/j.ifacol.2017.08.660
语种：English
出版社：Elsevier
摘要：AbstractThe aim of this paper is to present the application of an approach to study contraction theory recently developed for piecewise smooth and switched systems. The approach that can be used to analyze incremental stability properties of so-called Filippov systems (or variable structure systems) is based on the use of regularization, a procedure to make the vector field of interest differentiable before analyzing its properties. We show that by using this extension of contraction theory to nondifferentiable vector fields, it is possible to design observers for a large class of piecewise smooth systems using not only Euclidean norms, as also done in previous literature, but also non-Euclidean norms. This allows greater flexibility in the design and encompasses the case of both piecewise-linear and piecewise-smooth (nonlinear) systems. The theoretical methodology is illustrated via a set of representative examples.
关键词：Keywordscontraction theoryobserver designincremental stabilitydiscontinuous controlregularization