Stabilization of singularly perturbed networked control systems over a single channel
Abstract
This paper studies the emulation-based stabilization of nonlinear networked control systems with two time scales. We address the challenge of using a single communication channel for transmitting both fast and slow variables between the plant and the controller. A novel dual clock mechanism is proposed to schedule transmissions for this purpose. The system is modeled as a hybrid singularly perturbed dynamical system, and singular perturbation analysis is employed to determine individual maximum allowable transmission intervals for both fast and slow variables, ensuring semi-global practical asymptotic stability. Enhanced stability guarantees are also provided under stronger assumptions. The efficacy of the proposed method is illustrated through a numerical example.
Cite
@article{arxiv.2502.18768,
title = {Stabilization of singularly perturbed networked control systems over a single channel},
author = {Weixuan Wang and Alejandro I. Maass and Dragan Nešić and Ying Tan and Romain Postoyan and W. P. M. H. Heemels},
journal= {arXiv preprint arXiv:2502.18768},
year = {2025}
}
Comments
16 pages, 2 figures, submitted to Automatica