2024
DOI: 10.3934/eect.2024017
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Robustness of output feedback control for a wave-ODE cascaded system to the input delay mismatch

Xiaodan Feng,
Zhifei Zhang,
Yiyang Zou

Abstract: This paper investigates the robustness of output feedback control to the input delay mismatch for a wave-ODE cascaded system with the timevarying input and output delays. Firstly, we convert the output delay into a transport equation, resulting in a wave-ODE-transport coupled system. Secondly, we design an output feedback control for the coupled system without input delay mismatch, and prove the well-posedness and exponential stability of the closed-loop system. Then, the key point is that we prove that this c… Show more

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