文章基本信息

标题：Collocated Observer Design Based on Continuum Backstepping for a Class of Hyperbolic PDEs
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作者：Li, Xiaoguang ; Liu, Jinkun
期刊名称：Journal of Computers
印刷版ISSN：1796-203X
出版年度：2012
卷号：7
期号：12
页码：2955-2961
DOI：10.4304/jcp.7.12.2955-2961
语种：English
出版社：Academy Publisher
摘要：A collocated observer design approach is addressed, which is based on the continuum backstepping algorithm for partial differential equations (PDEs) with boundary feedback. This observer for a class of hyperbolic PDEs is constructed through an integral form with undetermined kernel functions, combining with the “inverse” Volterra transformation and using the position and velocity of the collocated end as feedback through the boundary input with the Neumann type. The error system is transformed into the exponentially stable transformed system in the mapping space. The exponential stability of the source system is achieved with norm restrictions between the original and the transformed systems。
关键词：continuum backstepping approach for PDEs;hyperbolic partial differential equations;boundary feedback;collocated observer;Volterra transformation