Alternative Frequency-Domain Stability Criteria for Discrete-Time Networked Systems with Multiple Delays

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

2 Citations (Scopus)

Abstract

In this paper alternative frequency-domain criteria areprovided for the stability of discrete-time networkedcontrol systems with time-varying delays. These criteria are in various situations less conservative than the existing frequency-domain conditions as is demonstrated by means of an example. In addition, new stability conditions are presented that allow for multiple sensor-to-controller and controller-to-actuator channels exhibiting different delay characteristics. The stability conditions are formulated in terms of the H_infinity norm and the structured singular value. As a result, the obtainedresults can be used directly for controller synthesis via standard robust control techniques.
Original languageEnglish
Title of host publicationProceedings of the 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems (NecSys'10), September 13-14, 2010 Annecy, France
Place of PublicationFrance, Annecy
Pages73-78
Publication statusPublished - 2010

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Stability criteria
Controllers
Robust control
Actuators
Sensors

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Heemels, W. P. M. H., Merry, R. J. E., & Oomen, T. A. E. (2010). Alternative Frequency-Domain Stability Criteria for Discrete-Time Networked Systems with Multiple Delays. In Proceedings of the 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems (NecSys'10), September 13-14, 2010 Annecy, France (pp. 73-78). France, Annecy.
Heemels, W.P.M.H. ; Merry, R.J.E. ; Oomen, T.A.E. / Alternative Frequency-Domain Stability Criteria for Discrete-Time Networked Systems with Multiple Delays. Proceedings of the 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems (NecSys'10), September 13-14, 2010 Annecy, France. France, Annecy, 2010. pp. 73-78
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title = "Alternative Frequency-Domain Stability Criteria for Discrete-Time Networked Systems with Multiple Delays",
abstract = "In this paper alternative frequency-domain criteria areprovided for the stability of discrete-time networkedcontrol systems with time-varying delays. These criteria are in various situations less conservative than the existing frequency-domain conditions as is demonstrated by means of an example. In addition, new stability conditions are presented that allow for multiple sensor-to-controller and controller-to-actuator channels exhibiting different delay characteristics. The stability conditions are formulated in terms of the H_infinity norm and the structured singular value. As a result, the obtainedresults can be used directly for controller synthesis via standard robust control techniques.",
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Heemels, WPMH, Merry, RJE & Oomen, TAE 2010, Alternative Frequency-Domain Stability Criteria for Discrete-Time Networked Systems with Multiple Delays. in Proceedings of the 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems (NecSys'10), September 13-14, 2010 Annecy, France. France, Annecy, pp. 73-78.

Alternative Frequency-Domain Stability Criteria for Discrete-Time Networked Systems with Multiple Delays. / Heemels, W.P.M.H.; Merry, R.J.E.; Oomen, T.A.E.

Proceedings of the 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems (NecSys'10), September 13-14, 2010 Annecy, France. France, Annecy, 2010. p. 73-78.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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T1 - Alternative Frequency-Domain Stability Criteria for Discrete-Time Networked Systems with Multiple Delays

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PY - 2010

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N2 - In this paper alternative frequency-domain criteria areprovided for the stability of discrete-time networkedcontrol systems with time-varying delays. These criteria are in various situations less conservative than the existing frequency-domain conditions as is demonstrated by means of an example. In addition, new stability conditions are presented that allow for multiple sensor-to-controller and controller-to-actuator channels exhibiting different delay characteristics. The stability conditions are formulated in terms of the H_infinity norm and the structured singular value. As a result, the obtainedresults can be used directly for controller synthesis via standard robust control techniques.

AB - In this paper alternative frequency-domain criteria areprovided for the stability of discrete-time networkedcontrol systems with time-varying delays. These criteria are in various situations less conservative than the existing frequency-domain conditions as is demonstrated by means of an example. In addition, new stability conditions are presented that allow for multiple sensor-to-controller and controller-to-actuator channels exhibiting different delay characteristics. The stability conditions are formulated in terms of the H_infinity norm and the structured singular value. As a result, the obtainedresults can be used directly for controller synthesis via standard robust control techniques.

M3 - Conference contribution

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BT - Proceedings of the 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems (NecSys'10), September 13-14, 2010 Annecy, France

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Heemels WPMH, Merry RJE, Oomen TAE. Alternative Frequency-Domain Stability Criteria for Discrete-Time Networked Systems with Multiple Delays. In Proceedings of the 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems (NecSys'10), September 13-14, 2010 Annecy, France. France, Annecy. 2010. p. 73-78