Act-and-wait control of discrete systems with random delays

Mohammadreza Ghasemi, Siming Zhao, Tamas Insperger, Tamas Kalmar-Nagy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Citations (Scopus)

Abstract

This paper addresses the stabilization of discrete-time linear systems with random delays, which is a common problem in networked control systems. The delays are assumed to be bounded and longer than a sampling time unit. We apply the act-and-wait control concept to stabilize the system: the controller is on for one sampling period (act) and off for some sampling periods (wait). If the waiting period is longer than the maximum delay in the feedback, then the stability can be described by finite number of eigenvalues. Although the closed-loop stability of the stochastic system with the act-and-wait controller is characterized by the Lyapunov exponent of infinite random matrix products, the dimension of these matrices is finite, which results in a significant reduction of computational complexity. The applicability of this method is demonstrated in a simple example, where we compare deterministic stability with the Lyapunov exponent based results.

Original languageEnglish
Title of host publication2012 American Control Conference, ACC 2012
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5440-5443
Number of pages4
ISBN (Print)9781457710957
DOIs
Publication statusPublished - Jan 1 2012
Event2012 American Control Conference, ACC 2012 - Montreal, QC, Canada
Duration: Jun 27 2012Jun 29 2012

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Other

Other2012 American Control Conference, ACC 2012
CountryCanada
CityMontreal, QC
Period6/27/126/29/12

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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  • Cite this

    Ghasemi, M., Zhao, S., Insperger, T., & Kalmar-Nagy, T. (2012). Act-and-wait control of discrete systems with random delays. In 2012 American Control Conference, ACC 2012 (pp. 5440-5443). [6315674] (Proceedings of the American Control Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/acc.2012.6315674