文章基本信息

标题：A Dissipativity Characterization of Velocity Turnpikes in Optimal Control Problems for Mechanical Systems
本地全文：下载
作者：Timm Faulwasser ; Kathrin Flaßkamp ; Sina Ober-Blöbaum 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2021
卷号：54
期号：9
页码：624-629
DOI：10.1016/j.ifacol.2021.06.125
语种：English
出版社：Elsevier
摘要：AbstractTurnpikes have recently gained significant research interest in optimal control, since they allow for pivotal insights into the structure of solutions to optimal control problems. So far, mainly steady state solutions which serve as optimal operation points, are studied. This is in contrast to time-varying turnpikes, which are in the focus of this paper. More concretely, we analyze symmetry-induced velocity turnpikes, i.e. controlled relative equilibria, called trim primitives, which are optimal operation points regarding the given cost criterion. We characterize velocity turnpikes by means of dissipativity inequalities. Moreover, we study the equivalence between optimal control problems and steady-state problems via the corresponding necessary optimality conditions. An academic example is given for illustration.
关键词：KeywordsGeometric approachesOptimal controlOptimisationTurnpikesRelative equilibriaDissipativity