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arXiv · 2512.20244

Sliding Mode Control for a Parabolic-Elliptic PDE System with Boundary Perturbation

Moussa Labbadi·Ilyasse Lamrani
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Abstract

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.

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Moussa Labbadi, Ilyasse Lamrani. 2025-12-23. Sliding Mode Control for a Parabolic-Elliptic PDE System with Boundary Perturbation. https://arxiv.org/abs/2512.20244

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