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

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

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

8 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 publicationProceedings of the American Control Conference
Pages5440-5443
Number of pages4
Publication statusPublished - 2012
Event2012 American Control Conference, ACC 2012 - Montreal, QC, Canada
Duration: Jun 27 2012Jun 29 2012

Other

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

Fingerprint

Sampling
Controllers
Networked control systems
Stochastic systems
Linear systems
Computational complexity
Stabilization
Feedback

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Ghasemi, M., Zhao, S., Insperger, T., & Kalmar-Nagy, T. (2012). Act-and-wait control of discrete systems with random delays. In Proceedings of the American Control Conference (pp. 5440-5443). [6315674]

Act-and-wait control of discrete systems with random delays. / Ghasemi, Mohammadreza; Zhao, Siming; Insperger, T.; Kalmar-Nagy, Tamas.

Proceedings of the American Control Conference. 2012. p. 5440-5443 6315674.

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

Ghasemi, M, Zhao, S, Insperger, T & Kalmar-Nagy, T 2012, Act-and-wait control of discrete systems with random delays. in Proceedings of the American Control Conference., 6315674, pp. 5440-5443, 2012 American Control Conference, ACC 2012, Montreal, QC, Canada, 6/27/12.
Ghasemi M, Zhao S, Insperger T, Kalmar-Nagy T. Act-and-wait control of discrete systems with random delays. In Proceedings of the American Control Conference. 2012. p. 5440-5443. 6315674
Ghasemi, Mohammadreza ; Zhao, Siming ; Insperger, T. ; Kalmar-Nagy, Tamas. / Act-and-wait control of discrete systems with random delays. Proceedings of the American Control Conference. 2012. pp. 5440-5443
@inproceedings{5abc4740707e4847b3a48ec1ccaab989,
title = "Act-and-wait control of discrete systems with random delays",
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.",
author = "Mohammadreza Ghasemi and Siming Zhao and T. Insperger and Tamas Kalmar-Nagy",
year = "2012",
language = "English",
isbn = "9781457710957",
pages = "5440--5443",
booktitle = "Proceedings of the American Control Conference",

}

TY - GEN

T1 - Act-and-wait control of discrete systems with random delays

AU - Ghasemi, Mohammadreza

AU - Zhao, Siming

AU - Insperger, T.

AU - Kalmar-Nagy, Tamas

PY - 2012

Y1 - 2012

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84869450773&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84869450773&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84869450773

SN - 9781457710957

SP - 5440

EP - 5443

BT - Proceedings of the American Control Conference

ER -