In this paper, the feasibility of recently developed higher order delayed sliding mode controllers is addressed. With this aim the robustness against the measurement noise and mismatched perturbations for the systems governed by such controllers is established using ISS implicit Lyapunov-Razumikhin function approach. To illustrate proposed results, a simulation example validating the efficiency of the method is provided.
@article{arxiv.2512.18018,
title = {Robustness of Delayed Higher Order Sliding Mode Control},
author = {Moussa Labbadi and Denis Efimov and Leonid Fridman},
journal= {arXiv preprint arXiv:2512.18018},
year = {2025}
}