文章基本信息

标题：A time-delay approach to vibrational control with square wave dithers ⁎
本地全文：下载
作者：Jin Zhang ; Emilia Fridman
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2021
卷号：54
期号：18
页码：35-40
DOI：10.1016/j.ifacol.2021.11.112
语种：English
出版社：Elsevier
摘要：AbstractThis paper studies stabilization of second-order systems by fast-varying square wave dithers depending on a small parameter ε > 0, which is inverse of the dither frequency. We first employ the known in vibrational control coordinate transformation that allows to cancel 1/ε multiplying the square wave dithers, and then present a time-delay approach to periodic averaging of the system in new coordinates. The time-delay approach leads to a model where the delay length is equal toε.The resulting time-delay system is a perturbation of the averaged system in new coordinates which is assumed to be exponentially stable. The stability of the time-delay system guarantees the stability of the original system. We construct an appropriate Lyapunov functional for finding sufficient stability conditions in the form of linear matrix inequalities (LMIs). The upper bound onεthat preserves the exponential stability is found from LMIs. Two numerical examples illustrate the efficiency of the method.
关键词：KeywordsTime-delay approachperiodic averagingvibrational controlsquare-wave dithers