文章基本信息

标题：Backstepping Control of Linear 2 × 2 Hyperbolic Systems with Dynamic Boundary Conditions
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作者：J. Deutscher ; N. Gehring ; R. Kern 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：4522-4527
DOI：10.1016/j.ifacol.2017.08.724
语种：English
出版社：Elsevier
摘要：AbstractIn this paper the boundary control of linear 2 × 2 hyperbolic systems with spatially-varying coefficients and dynamic boundary conditions is considered. This leads to the stabilization problem for a bidirectionally coupled PDE-ODE system. For its solution a two-step backstepping approach is developed, that yields the usual kernel equations and additional decoupling equations of simple form. The latter can be traced back to a Volterra integral equation of the second kind, which is directly solvable with a successive approximation. The results of the paper are illustrated for a heavy rope with load.
关键词：KeywordsDistributed-parameter systemshyperbolic systemsbacksteppingboundary controlcoupled PDE-ODE systems