Boundary Output Feedback Stabilization for a Cascaded-Wave PDE-ODE System with Velocity Recirculation

被引：2
|
作者：
Li, Ruicheng [1 ]
Jin, Feng-Fei [1 ]
Yan, Baoqiang [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
来源：
COMPLEXITY | 2021年 / 2021卷
基金：
中国国家自然科学基金;
关键词：
EQUATION SUBJECT; STATE;
D O I：
10.1155/2021/9977714
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper considers the output feedback stabilization for a cascaded-wave PDE-ODE system with velocity recirculation by boundary control. First, we choose a well-known exponentially stable system as its target system and find a backstepping transformation to design a state feedback controller for the original system. Second, we attempt to give an output feedback controller for the original system by introducing the observer. The resulting closed-loop system admits a unique solution which is proved to be exponentially stable. Finally, we give some numerical examples to prove the validity for the theoretical results.
引用
收藏
页数：15
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