Stability analysis of stochastic networked control systems

M.C.F. Donkers, W.P.M.H. Heemels, D. Bernardini, A. Bemporad, V. Shneer

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

23 Citations (Scopus)

Abstract

In this paper, we study the stability of Networked Control Systems (NCSs) that are subject to time-varying transmission intervals, time-varying transmission delays, packet-dropouts and communication constraints. Communication constraints impose that, per transmission, only one sensor or actuator node can access the network and send its information. Which node is given access to the network at a transmission time is orchestrated by a so-called network protocol. This paper considers NCSs, in which the transmission intervals and transmission delays are described by a random process, having a continuous probability density function (PDF). By focussing on linear plants and controllers and periodic and quadratic protocols, we present a modelling framework for NCSs based on stochastic discrete-time switched linear systems. Stability (in the mean-square) of these systems is analysed using convex overapproximations and a finite number of linear matrix inequalities. On a benchmark example of a batch reactor, we illustrated the effectiveness of the developed theory.
Original languageEnglish
Title of host publicationProceedings 2010 American Control Conference (ACC 2010, Baltimore MD, USA, June 30-July 2, 2010)
Pages3684-3689
Publication statusPublished - 2010

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Stochastic control systems
Networked control systems
Network protocols
Communication
Batch reactors
Linear matrix inequalities
Random processes
Probability density function
Linear systems
Actuators
Controllers
Sensors

Cite this

Donkers, M. C. F., Heemels, W. P. M. H., Bernardini, D., Bemporad, A., & Shneer, V. (2010). Stability analysis of stochastic networked control systems. In Proceedings 2010 American Control Conference (ACC 2010, Baltimore MD, USA, June 30-July 2, 2010) (pp. 3684-3689)
Donkers, M.C.F. ; Heemels, W.P.M.H. ; Bernardini, D. ; Bemporad, A. ; Shneer, V. / Stability analysis of stochastic networked control systems. Proceedings 2010 American Control Conference (ACC 2010, Baltimore MD, USA, June 30-July 2, 2010). 2010. pp. 3684-3689
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Donkers, MCF, Heemels, WPMH, Bernardini, D, Bemporad, A & Shneer, V 2010, Stability analysis of stochastic networked control systems. in Proceedings 2010 American Control Conference (ACC 2010, Baltimore MD, USA, June 30-July 2, 2010). pp. 3684-3689.

Stability analysis of stochastic networked control systems. / Donkers, M.C.F.; Heemels, W.P.M.H.; Bernardini, D.; Bemporad, A.; Shneer, V.

Proceedings 2010 American Control Conference (ACC 2010, Baltimore MD, USA, June 30-July 2, 2010). 2010. p. 3684-3689.

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

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N2 - In this paper, we study the stability of Networked Control Systems (NCSs) that are subject to time-varying transmission intervals, time-varying transmission delays, packet-dropouts and communication constraints. Communication constraints impose that, per transmission, only one sensor or actuator node can access the network and send its information. Which node is given access to the network at a transmission time is orchestrated by a so-called network protocol. This paper considers NCSs, in which the transmission intervals and transmission delays are described by a random process, having a continuous probability density function (PDF). By focussing on linear plants and controllers and periodic and quadratic protocols, we present a modelling framework for NCSs based on stochastic discrete-time switched linear systems. Stability (in the mean-square) of these systems is analysed using convex overapproximations and a finite number of linear matrix inequalities. On a benchmark example of a batch reactor, we illustrated the effectiveness of the developed theory.

AB - In this paper, we study the stability of Networked Control Systems (NCSs) that are subject to time-varying transmission intervals, time-varying transmission delays, packet-dropouts and communication constraints. Communication constraints impose that, per transmission, only one sensor or actuator node can access the network and send its information. Which node is given access to the network at a transmission time is orchestrated by a so-called network protocol. This paper considers NCSs, in which the transmission intervals and transmission delays are described by a random process, having a continuous probability density function (PDF). By focussing on linear plants and controllers and periodic and quadratic protocols, we present a modelling framework for NCSs based on stochastic discrete-time switched linear systems. Stability (in the mean-square) of these systems is analysed using convex overapproximations and a finite number of linear matrix inequalities. On a benchmark example of a batch reactor, we illustrated the effectiveness of the developed theory.

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BT - Proceedings 2010 American Control Conference (ACC 2010, Baltimore MD, USA, June 30-July 2, 2010)

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Donkers MCF, Heemels WPMH, Bernardini D, Bemporad A, Shneer V. Stability analysis of stochastic networked control systems. In Proceedings 2010 American Control Conference (ACC 2010, Baltimore MD, USA, June 30-July 2, 2010). 2010. p. 3684-3689