文章基本信息

标题：Nonlinear optimal stabilization of unstable periodic orbits
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作者：Yuuta Habaguchi ; Noboru Sakamoto ; Keisuke Nagata 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2015
卷号：48
期号：18
页码：215-220
DOI：10.1016/j.ifacol.2015.11.039
语种：English
出版社：Elsevier
摘要：AbstractThe framework for the optimal stabilization of unstable periodic orbits in nonlinear systems is proposed. First, the stable manifold method for approximately solving Hamilton-Jacobi equations in the optimal control problem is extended to nonlinear periodic systems. Then, this method is applied for optimal stabilization problem of error dynamics around an unstable periodic orbit. The effectiveness of the proposed method is evaluated via numerical simulations for the Rossler chaotic system.
关键词：KeywordsNonlinear optimal controlunstable periodic orbitchaos controlRossler chaotic systemHamilton-Jacobi equationstable manifold methods