文章基本信息

标题：Trajectory Tracking Control for a Class of 2×2 Hyperbolic PDE-ODE Systems
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作者：A. Irscheid ; N. Gehring ; J. Rudolph 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2021
卷号：54
期号：9
页码：416-421
DOI：10.1016/j.ifacol.2021.06.158
语种：English
出版社：Elsevier
摘要：AbstractThis paper introduces an approach to trajectory tracking control of linear 2×2 hyperbolic partial differential equations (PDEs) actuated at one boundary and coupled with ordinary differential equations (ODEs) at the other one. Well-known state feedback methods that benefit from so-called backstepping coordinates are limited to the case of boundary conditions consisting of linear time-invariant ODEs. In a first step, the new approach is introduced for this restricted class of linear dynamic boundary conditions. It is shown that tracking control is immediately achieved by a surprisingly simple, yet elegant, modification of a stabilizing state feedback. Then, a direct extension for solving trajectory tracking problems for a class of nonlinear ODEs at the unactuated boundary is discussed. Numerical studies underline the performance of the proposed method.
关键词：Keywordstracking controlPDE-ODE systemsboundary controlpredictor feedbackdistributed parameter systemshyperbolic systems