文章基本信息

标题：Computing the robust H-infinity norm of time-delay LTI systems with real-valued and structured uncertainties ⁎
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作者：Pieter Appeltans ; Wim Michiels
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：18
页码：127-132
DOI：10.1016/j.ifacol.2019.12.218
语种：English
出版社：Elsevier
摘要：In this paper a new method to calculate the robust (worst-case) H∞-norm of a linear time-invariant time-delay system with an arbitrary number of delays with uncertainties both in the system matrices and the delay parameters is presented. The proposed approach fully exploits the real-valued and structured nature of the uncertainties. As in real-life applications, uncertainties can influence more than one system matrix. The algorithm utilizes the relation between the robust H∞-norm and the pseudo-spectrum of an associated non-linear (delay) eigenvalue problem with both real and complex perturbations. More precisely it uses the Newton-bisection method to find the robust complex distance to instability of this eigenvalue problem which will be shown to be equal to the reciprocal of the robust H∞-norm.
关键词：KeywordsTime delay systemsUncertain dynamic systemsRobust performanceH-infinity normDistance to instabilityPseudo spectrum