文章基本信息

标题：Output feedback exponential stabilization of a nonlinear 1-D wave equation with boundary input * * This work was partially supported by grant no. 800/14 of the Israel Science Foundation
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作者：Hua-Cheng Zhou ; George Weiss
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：5586-5591
DOI：10.1016/j.ifacol.2017.08.1103
语种：English
出版社：Elsevier
摘要：AbstractThis paper develops systematically the output feedback exponential stabilization for a one-dimensional unstable/anti-stable wave equation where the control boundary suffers from both internal nonlinear uncertainty and external disturbance. Using only two displacement signals, we propose a disturbance estimator that not only can estimate successfully the disturbance in the sense that the error is in L2(0, ∞) but also is free high-gain. With the estimated disturbance, we design a state observer that is exponentially convergent to the state of original system. An observer-based output feedback stabilizing control law is proposed. The disturbance is then canceled in the feedback loop by its approximated value. The closed-loop system is shown to be exponentially stable and it can be guaranteed that all internal signals are uniformly bounded.
关键词：KeywordsDisturbance rejectionoutput feedbackexponential stabilizationdisturbance estimatorstate observerunstable/anti-stablewave equation