A model predictive control approach for stochastic networked control systems

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

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

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Abstract

In this paper we present a stochastic model predictive control (SMPC) approach for networked control systems (NCSs) that are subject to time-varying sampling intervals and timevarying transmission delays. These network-induced uncertain parameters are assumed to be described by random processes, having a bounded support and an arbitrary continuous probability density function. Assuming that the controlled plant can be modeled as a linear system, we present a SMPC formulation based on scenario enumeration and quadratic programming that optimizes a stochastic performance index and provides closed-loop stability in the mean-square sense. Simulation results are shown to demonstrate the performance of the proposed approach.
Original languageEnglish
Title of host publicationProceedings of the 2nd IFAC Workshop on Estimation and Control of Networked Systems
Place of PublicationFrance, Annecy
Pages7-12
Publication statusPublished - 2010

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Stochastic control systems
Networked control systems
Model predictive control
Stochastic models
Quadratic programming
Random processes
Probability density function
Linear systems
Sampling

Cite this

Bernardini, D., Donkers, M. C. F., Bemporad, A., & Heemels, W. P. M. H. (2010). A model predictive control approach for stochastic networked control systems. In Proceedings of the 2nd IFAC Workshop on Estimation and Control of Networked Systems (pp. 7-12). France, Annecy.
Bernardini, D. ; Donkers, M.C.F. ; Bemporad, A. ; Heemels, W.P.M.H. / A model predictive control approach for stochastic networked control systems. Proceedings of the 2nd IFAC Workshop on Estimation and Control of Networked Systems. France, Annecy, 2010. pp. 7-12
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Bernardini, D, Donkers, MCF, Bemporad, A & Heemels, WPMH 2010, A model predictive control approach for stochastic networked control systems. in Proceedings of the 2nd IFAC Workshop on Estimation and Control of Networked Systems. France, Annecy, pp. 7-12.

A model predictive control approach for stochastic networked control systems. / Bernardini, D.; Donkers, M.C.F.; Bemporad, A.; Heemels, W.P.M.H.

Proceedings of the 2nd IFAC Workshop on Estimation and Control of Networked Systems. France, Annecy, 2010. p. 7-12.

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

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T1 - A model predictive control approach for stochastic networked control systems

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N2 - In this paper we present a stochastic model predictive control (SMPC) approach for networked control systems (NCSs) that are subject to time-varying sampling intervals and timevarying transmission delays. These network-induced uncertain parameters are assumed to be described by random processes, having a bounded support and an arbitrary continuous probability density function. Assuming that the controlled plant can be modeled as a linear system, we present a SMPC formulation based on scenario enumeration and quadratic programming that optimizes a stochastic performance index and provides closed-loop stability in the mean-square sense. Simulation results are shown to demonstrate the performance of the proposed approach.

AB - In this paper we present a stochastic model predictive control (SMPC) approach for networked control systems (NCSs) that are subject to time-varying sampling intervals and timevarying transmission delays. These network-induced uncertain parameters are assumed to be described by random processes, having a bounded support and an arbitrary continuous probability density function. Assuming that the controlled plant can be modeled as a linear system, we present a SMPC formulation based on scenario enumeration and quadratic programming that optimizes a stochastic performance index and provides closed-loop stability in the mean-square sense. Simulation results are shown to demonstrate the performance of the proposed approach.

M3 - Conference contribution

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BT - Proceedings of the 2nd IFAC Workshop on Estimation and Control of Networked Systems

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Bernardini D, Donkers MCF, Bemporad A, Heemels WPMH. A model predictive control approach for stochastic networked control systems. In Proceedings of the 2nd IFAC Workshop on Estimation and Control of Networked Systems. France, Annecy. 2010. p. 7-12