文章基本信息

标题：Adaptive Boundary Observer Design for coupled ODEs-Hyperbolic PDEs systems ⁎
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作者：Mohammad Ghousein ; Emmanuel Witrant
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：7605-7610
DOI：10.1016/j.ifacol.2020.12.1359
语种：English
出版社：Elsevier
摘要：AbstractWe consider the state estimation ofηξhyperbolic PDEs coupled withηXordinary differential equations at the boundary. The hyperbolic system is linear and propagates in the positive x-axis direction. The ODE system is linear time varying (LTV) and includes a set ofηθunknown constant parameters, which are to be estimated simultaneously with the PDE and the ODE states using boundary sensing. We design a Luenberger state observer, and our method is mainly based on the decoupling of the PDE estimation error states from that of the ODEs via swapping design. We then derive the observer gains through the Lyapunov analysis of the decoupled system. Furthermore, we give sufficient conditions of the exponential convergence of the adaptive observer through differential Lyapunov inequalities (DLIs) and we illustrate the theoretical results by numerical simulations.
关键词：KeywordsHyperbolic partial differential equationsAdaptive boundary ObserversBoundary Control