Boundary Feedback Stabilization of a One-dimensional Wave Equation with Velocity Recirculation and Matched Disturbance

In this paper, we consider the stabilization problem of a one-dimensional wave equation with velocity recirculation and boundary matched general external disturbance. Active disturbance rejection control method is adopted to estimate the disturbance by distributed parameter system instead of usual h...

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Bibliographic Details
Published inProceedings of the American Control Conference pp. 280 - 285
Main Authors Li, Ruicheng, Jin, Feng-Fei, Guo, Wei
Format Conference Proceeding
LanguageEnglish
Published American Automatic Control Council 25.05.2021
Subjects
Closed loop systems
Distributed parameter systems
Estimation
Numerical simulation
Observers
Propagation
Robust control
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Summary:In this paper, we consider the stabilization problem of a one-dimensional wave equation with velocity recirculation and boundary matched general external disturbance. Active disturbance rejection control method is adopted to estimate the disturbance by distributed parameter system instead of usual high-gain lumped parameter system. With the estimation of the disturbance in hand, a state observer is constructed in the following. Then we design the controller consisting two parts: one is used to compensate the disturbance; the other is to stabilize the system without the disturbance. The resulting closed-loop system admits a unique bounded solution and the solution of the original system decays exponentially. Finally, some numerical simulations are presented to illustrate the theoretical results.
ISSN:2378-5861
DOI:10.23919/ACC50511.2021.9482909