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On rate allocation for multiple plants in a networked control system
KTH, School of Electrical Engineering (EES), Communication Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.
KTH, School of Electrical Engineering (EES), Automatic Control. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9810-3478
KTH, School of Electrical Engineering (EES), Communication Theory. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0002-7926-5081
2012 (English)In: 2012 American Control Conference (ACC), IEEE Computer Society, 2012, 2024-2029 p.Conference paper, Published paper (Refereed)
Abstract [en]

The problem of allocating communication resources to multiple plants in a networked control system is investigated. In the presence of a shared communication medium, a total transmission rate constraint is imposed. For the purpose of optimizing the rate allocation to the plants over a finite horizon, two objective functions are considered. The first one is a single-objective function, and the second one is a multi-objective function. Because of the difficulty to derive the closed-form expression of these functions, which depend on the instantaneous communication rate, an approximation is proposed by using high-rate quantization theory. It is shown that the approximate objective functions are convex in the region of interest both in the scalar case and in the multi-objective case. This allows to establish a linear control policy given by the classical linear quadratic Gaussian theory as function of the channel. Based on this result, a new complex relation between the control performance and the channel error probability is characterized.

Place, publisher, year, edition, pages
IEEE Computer Society, 2012. 2024-2029 p.
Series
Proceedings of the American Control Conference, ISSN 0743-1619
Keyword [en]
Channel error probabilities, Closed-form expression, Communication rate, Communication resources, Control performance, Finite horizons, High-rate quantization, Linear controls, Linear quadratic Gaussian theory, Multi objective, Multi-objective functions, Objective functions, Rate allocation, Region of interest, Shared communication medium, Total transmission rate, Linear control systems, Networked control systems, Communication
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-108014ISI: 000310776202052Scopus ID: 2-s2.0-84869392561ISBN: 978-145771095-7 (print)OAI: oai:DiVA.org:kth-108014DiVA: diva2:580199
Conference
2012 American Control Conference, ACC 2012, 27 June 2012 through 29 June 2012, Montreal, QC
Funder
ICT - The Next Generation
Note

QC 20121221

Available from: 2012-12-21 Created: 2012-12-19 Last updated: 2013-04-11Bibliographically approved

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Fischione, CarloSkoglund, Mikael

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