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

Ruicheng Li, Feng-Fei Jin, Baoqiang Yan and Thach Ngoc Dinh

Complexity, 2021, vol. 2021, 1-15

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:9977714

DOI: 10.1155/2021/9977714

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