文章基本信息

标题：A geometric description of the set of stabilizing PID controllers
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作者：Keqin Gu ; Qian Ma ; Huiqing Zhou 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：4481-4486
DOI：10.1016/j.ifacol.2020.12.452
语种：English
出版社：Elsevier
摘要：AbstractThis article presents a geometric description of the set of stabilizing PID controllers. The three-dimensional parameter space is partitioned by the stability crossing surface into regions such that the number of characteristic roots on the right half-plane (RHP) remains constant within each region. The set of stabilizing PID parameters consists those regions with no RHP root. The stability crossing surface is a ruled surface, and it is completely determined by a curve known as the discriminant. The discriminant may be divided into sectors between its cusps, and each sector corresponds to a positive patch and negative patch. The stability crossing surface is composed of these patches.
关键词：KeywordsStabilityPID controlgeometric characterization