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Feedback Control for Nonlinear ODE-PDE-ODE-Coupled Systems
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DOI：10.1109/TSMC.2023.3296431.png)
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Abstract
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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.
Keywords:
Nonlinearity
ODE-PDE-ODE-coupled systems
output feedback
stabilization
state feedback
Journal
IF:
10.5
Papers:
1.1W
Citations:
5.0W
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