文章基本信息

标题：Lyapunov-based Stability of Feedback Interconnections of Negative Imaginary Systems
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作者：Ahmed G. Ghallab ; Mohamed A. Mabrok ; Ian R. Petersen 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：3424-3428
DOI：10.1016/j.ifacol.2017.08.839
语种：English
出版社：Elsevier
摘要：AbstractFeedback control systems using sensors and actuators such as piezoelectric sensors and actuators, micro-electro-mechanical systems (MEMS) sensors and opto-mechanical sensors, are allowing new advances in designing such high precision technologies. The negative imaginary control systems framework allows for robust control design for such high precision systems in the face of uncertainties due to unmodelled dynamics. The stability of the feedback interconnection of negative imaginary systems has been well established in the literature. However, the proofs of stability feedback interconnection which are used in some previous papers have a shortcoming due to a matrix inevitability issue. In this paper, we provide a new and correct Lyapunov-based proof of one such result and show that the result is still true.
关键词：KeywordsNegative imaginary systemsStrictly negative imaginary systemsNegative imaginary lemmaLyapunov stability