Sliding mode observation for a 1D wave equation with dynamic boundary conditions.
This study focuses on employing sliding mode observer for a wave equation subject to two dynamic boundary conditions with anti-damping coefficients, a perturbation, and a control at one of the boundaries. The exponential decay rate of the tobserver’s trajectory is demonstrated using the multiplier method. The well-posedness of the error-system is proven using maximal monotone operator.
Authors
- Yacine Chitour (ORCID: https://orcid.org/0000-0002-3214-5824)
- Christophe Roman (ORCID: https://orcid.org/0000-0001-9448-922X)
- Abdelhakim Dahmani (ORCID: https://orcid.org/0000-0001-5640-7633)
- Moussa Labbadi (ORCID: https://orcid.org/0000-0003-1457-3662)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Aix-Marseille Université (FR)
- Université Paris-Saclay (FR)
- Laboratoire des signaux et systèmes (FR)
- CentraleSupélec (FR)
- Laboratoire d’Informatique et Systèmes (FR)
- Hochschule Aalen (DE)
Publication Details
- Published
- 2024-12-16
- DOI
- https://doi.org/10.1109/cdc56724.2024.10886753
- Primary Topic
- Ultrasonics and Acoustic Wave Propagation
- Type
- article
- Field-Weighted Citation Impact
- 0.00