文章基本信息

标题：Optimization of the Smoothed Spectral Abscissa for Retarded Type Systems ⁎
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作者：Marco A. Gomez ; 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：67-72
DOI：10.1016/j.ifacol.2019.12.208
语种：English
出版社：Elsevier
摘要：We introduce a new robust stability measure for retarded type systems, which is called smoothed spectral abscissa. The main characteristics of the smoothed spectral abscissa are that it is smooth with respect to the system parameters, and it provides a trade-off between the spectral abscissa and theH2norm of a transfer matrix related with the system. It is given by an implicit relation with theH2norm of an auxiliary system, and its computation is based on the delay Lyapunov matrix. We show that these features make the smoothed spectral abscissa suitable for the design of robust controllers by using standard gradient-based optimization techniques.
关键词：KeywordsSmoothed spectral abscissaH2normoptimizationrobust controldelay Lyapunov matrix