Sliding Mode Control to Wave Equation with Velocity Recirculation and Matched Disturbance

In this paper, the stabilization problem of one-dimensional wave equation with velocity recirculation and matched disturbance is studied. The sliding model control (SMC) and backstepping method are applied to handle the disturbance. Firstly, we propose a variable structure control law. Under the des...

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Bibliographic Details
Published in2024 43rd Chinese Control Conference (CCC) pp. 1074 - 1080
Main Authors Li, Ruicheng, Jin, Feng-Fei, Zong, Xiju
Format Conference Proceeding
LanguageEnglish
Published Technical Committee on Control Theory, Chinese Association of Automation 28.07.2024
Subjects
Backstepping
backstepping method
Mathematical models
Numerical models
Propagation
Sliding mode control
velocity recirculation
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Summary:In this paper, the stabilization problem of one-dimensional wave equation with velocity recirculation and matched disturbance is studied. The sliding model control (SMC) and backstepping method are applied to handle the disturbance. Firstly, we propose a variable structure control law. Under the designed control law, the resulting closed-loop has a unique solution and the solution decays exponentially. At last, we validate the effectiveness of designed method by giving the numerical experiments.
ISSN:1934-1768
DOI:10.23919/CCC63176.2024.10661984