Sliding Mode Control for a Parabolic-Elliptic PDE System with Boundary Perturbation
Systems and Control
2025-12-24 v1 Systems and Control
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.
Keywords
Cite
@article{arxiv.2512.20244,
title = {Sliding Mode Control for a Parabolic-Elliptic PDE System with Boundary Perturbation},
author = {Moussa Labbadi and Ilyasse Lamrani},
journal= {arXiv preprint arXiv:2512.20244},
year = {2025}
}