External authors:

• Weixuan Wang ( University of Melbourne )
• Dragan Nesic ( University of Melbourne )
• Ying Tan ( University of Melbourne )
• Romain Postoyan ( Centre National de la Recherche Scientifique (CNRS) )
• W. P. M. H. Heemels ( Eindhoven University of Technology )

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. (c) 2026 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).