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research-article

On Timescale Separation in Networked Systems with Intermittent Communication

[+] Author and Article Information
Armand Awad

Advanced Dynamics, Validation & Control Research Laboratory William E. Boeing Department of Aeronautics & Astronautics University of Washington Seattle, Washington 98195
awada@uw.edu

Anshu Narang-Siddarth

Advanced Dynamics, Validation & Control Research Laboratory William E. Boeing Department of Aeronautics & Astronautics University of Washington Seattle, Washington 98195
anshu@aa.washington.edu

1Corresponding author.

ASME doi:10.1115/1.4038096 History: Received May 02, 2017; Revised September 19, 2017

Abstract

This paper studies the multiple timescale behaviour that is induced by dynamic coupling between continuous-time and discrete-time systems, and that arises naturally in distributed networked systems. An order reduction method is proposed that establishes a mathematically rigorous separation principle between the fast evolution of the continuous-time dynamics and the slow updates of the discrete-time dynamics. Quantitative conditions on the discrete update rate are then derived that ensure the stability of the coupled dynamics based on the behaviour of the isolated systems. The results are illustrated for a distributed network of satellites whose attitudes evolve continuously while communicating intermittently over the network.

Copyright (c) 2017 by ASME
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