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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.20244 |
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| _version_ | 1866914217194422272 |
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| author | Labbadi, Moussa Lamrani, Ilyasse |
| author_facet | Labbadi, Moussa Lamrani, Ilyasse |
| contents | In this paper, we address the robustness of parabolic-elliptic systems under boundary control. A sliding mode control strategy is proposed to reject matched perturbations. The stability analysis establishes finite-time convergence of the sliding manifold and exponential stability of the closed-loop system. Since the closed-loop system is discontinuous, we also prove its well-posedness. A numerical example is provided to validate the effectiveness of the proposed approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_20244 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sliding Mode Control for a Parabolic-Elliptic PDE System with Boundary Perturbation Labbadi, Moussa Lamrani, Ilyasse Systems and Control In this paper, we address the robustness of parabolic-elliptic systems under boundary control. A sliding mode control strategy is proposed to reject matched perturbations. The stability analysis establishes finite-time convergence of the sliding manifold and exponential stability of the closed-loop system. Since the closed-loop system is discontinuous, we also prove its well-posedness. A numerical example is provided to validate the effectiveness of the proposed approach. |
| title | Sliding Mode Control for a Parabolic-Elliptic PDE System with Boundary Perturbation |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2512.20244 |