Stabilization of singularly perturbed networked control systems over a single channel

TL;DR

This paper proposes a novel dual clock mechanism for stabilizing nonlinear networked control systems with two time scales over a single communication channel, using singular perturbation analysis to ensure stability.

Contribution

It introduces a dual clock scheduling method and models the system as a hybrid singularly perturbed system for stabilization over a single channel.

Findings

Maximum allowable transmission intervals for fast and slow variables identified.

Semi-global practical asymptotic stability achieved.

Numerical example demonstrates effectiveness of the approach.

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.