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

Ruicheng Li | Zendy; FengFei Jin | Zendy; Baoqiang Yan | Zendy

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

Author(s) -

Ruicheng Li,

FengFei Jin,

Baoqiang Yan

Publication year - 2021

Publication title -

complexity

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.447

H-Index - 61

eISSN - 1099-0526

pISSN - 1076-2787

DOI - 10.1155/2021/9977714

Subject(s) - backstepping , ode , control theory (sociology) , observer (physics) , boundary (topology) , controller (irrigation) , exponential stability , transformation (genetics) , output feedback , mathematics , computer science , control (management) , mathematical analysis , nonlinear system , physics , adaptive control , biochemistry , chemistry , quantum mechanics , artificial intelligence , gene , agronomy , biology

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.

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