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Feedback Control for Nonlinear ODE-PDE-ODE-Coupled Systems

delete2023-11-01
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PRE
AI
C
Chunting Ji
张
张正强 (Zhengqiang Zhang) *
S
Shuzhi Sam Ge
DOI:10.1109/TSMC.2023.3296431delete
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摘要

摘要

En 中文
In this article, we are devoted to the global stabilization for ordinary differential equation (ODE)-parabolic partial differential equation (PDE)-ODE-coupled systems subject to spatially varying coefficient, where a nonlinear ODE is located at the driving end and a linear ODE is located at the other end. By means of infinite-dimensional and finite-dimensional backstepping transformations, both state-feedback and output-feedback controllers are established to assure the global exponential stability of the resulting closed-loop system. Besides, the boundedness and exponential convergence of the controllers are also investigated. Finally, the availability of the theoretical results is illustrated by simulation data.
Keyword:
Nonlinearity
ODE-PDE-ODE-coupled systems
output feedback
stabilization
state feedback

期刊

IEEE Transactions on Cybernetics 封面图
IEEE Transactions on Cybernetics
IF:
10.5
论文数:
1.1W
被引数:
5.0W

机构

Q
Qufu Normal University
学者数:
7.8K
论文数: 5.8K
被引数: 5.4K
N
National University of Singapore
学者数:
7.6W
论文数: 6.5W
被引数: 11.4W
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