文章基本信息

标题：Trajectory tracking for a system of two linear hyperbolic PDEs with uncertainties
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作者：Jean Auriol ; Florent Di Meglio
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：7089-7095
DOI：10.1016/j.ifacol.2017.08.1357
语种：English
出版社：Elsevier
摘要：AbstractWe give sufficient conditions that guarantee exponential stability for an uncertain system of two coupled linear hyperbolic PDEs with the actuation proposed in (Vazquez et al. (2011)) applied at one boundary of the system. Using the backstepping approach, we map the original uncertain system to a system with a simpler structure. Using the Lyapunov approach proposed in (Bastin and Coron (2011); Diagne et al. (2012)) it is then possible to derive sufficient conditions that guarantee robustness. Using the same target system we derive a simple algorithm that ensures robust output tracking.
关键词：KeywordsHyperbolic Partial Differential EquationsUncertain linear systemRobustnessTrackingBackstepping