English

Chattering Reduction for a Second-Order Actuator via Dynamic Sliding Manifolds

Systems and Control 2026-05-12 v2 Systems and Control Optimization and Control

Abstract

We analyze actuator chattering in a scalar integrator system subject to second-order actuator dynamics with an unknown time constant and first-order sliding-mode control, using both a conventional static sliding manifold and a dynamic sliding manifold. Using the harmonic balance method, we prove that it is possible to adjust the parameters of the dynamic sliding manifold for the specified system class so as to reduce the amplitude of the chattering in comparison to the static manifold. We illustrate our results with a simulation example. This contribution serves as a proof of concept to motivate further investigations in chattering reduction via dynamic sliding manifolds.

Keywords

Cite

@article{arxiv.2603.14990,
  title  = {Chattering Reduction for a Second-Order Actuator via Dynamic Sliding Manifolds},
  author = {Patricia Nöther and Lars Watermann and Johann Reger},
  journal= {arXiv preprint arXiv:2603.14990},
  year   = {2026}
}
R2 v1 2026-07-01T11:21:51.865Z