文章基本信息

标题：Integral Quadratic Constraints on Linear Infinite-dimensional Systems for Robust Stability Analysis
本地全文：下载
作者：Matthieu Barreau ; Carsten W. Scherer ; Frédéric Gouaisbaut 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：7752-7757
DOI：10.1016/j.ifacol.2020.12.1534
语种：English
出版社：Elsevier
摘要：AbstractThis paper proposes a framework to assess the stability of an Ordinary Differential Equation (ODE) which is coupled to a 1D-partial differential equation (PDE). The stability theorem is based on a new result on Integral Quadratic Constraints (IQCs) and expressed in terms of two linear matrix inequalities with a moderate computational burden. The IQCs are not generated using dissipation inequalities involving the whole state of an infinite-dimensional system, but by using projection coefficients of the infinite-dimensional state. This permits to generalize our robustness result to many other PDEs. The proposed methodology is applied to a time-delay system and numerical results comparable to those in the literature are obtained.
关键词：KeywordsDistributed Parameter SystemsRobustness analysisIQCsCoupled ODE/PDE