文章基本信息

标题：Dissipation Obstacle hampers Control—by—Interconnection Methodology
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作者：Meng Zhang ; Romeo Ortega ; Dimitri Jeltsema 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2015
卷号：48
期号：13
页码：123-128
DOI：10.1016/j.ifacol.2015.10.225
语种：English
出版社：Elsevier
摘要：AbstractIt is well—known that the presence of dissipation hampers our ability to shape the energy of port—Hamiltonian systems using control.by.interconnection methods—a phenomenon called the dissipation obstacle. In particular, the Casimir functions that are used to shift the energy function cannot depend on the coordinates where dissipation is present if we use, as is usually the case, passive controllers. Recently, it was proposed to relax the latter condition, namely, to use controllers that inject energy into the system to be able to create the required Casimir functions. In this note we prove that, alas, even if the Casimirs can be created with active controllers the dissipation obstacle stymies the possibility to assign an energy function with the minimum at an equilibrium point. As a corollary we prove that the subtle, deleterious effect of pervasive dissipation does not only stem from the inability of the controller to inject the (infinite) energy required for stabilization—as it was conjectured in earlier publications
关键词：KeywordsDissipation obstacleControl—by—InterconnectionCasimir functionspassivity-based control