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

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Listed:
  • Ruicheng Li
  • Feng-Fei Jin
  • Baoqiang Yan
  • Thach Ngoc Dinh

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.

Suggested Citation

  • Ruicheng Li & Feng-Fei Jin & Baoqiang Yan & Thach Ngoc Dinh, 2021. "Boundary Output Feedback Stabilization for a Cascaded-Wave PDE-ODE System with Velocity Recirculation," Complexity, Hindawi, vol. 2021, pages 1-15, June.
    • Handle: RePEc:hin:complx:9977714
    DOI: 10.1155/2021/9977714
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    Cited by:

    1. Li, Ruicheng & Jin, Feng-Fei, 2023. "Boundary output feedback stabilization for a cascaded wave PDE-ODE system with velocity recirculation and matched disturbance," Applied Mathematics and Computation, Elsevier, vol. 444(C).

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