On rate allocation for multiple plants in a networked control system
2012 (English)In: 2012 American Control Conference (ACC), IEEE Computer Society, 2012, 2024-2029 p.Conference paper (Refereed)
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.
, Proceedings of the American Control Conference, ISSN 0743-1619
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
Engineering and Technology
IdentifiersURN: urn:nbn:se:kth:diva-108014ISI: 000310776202052ScopusID: 2-s2.0-84869392561ISBN: 978-145771095-7OAI: oai:DiVA.org:kth-108014DiVA: diva2:580199
2012 American Control Conference, ACC 2012, 27 June 2012 through 29 June 2012, Montreal, QC
FunderICT - The Next Generation
QC 201212212012-12-212012-12-192013-04-11Bibliographically approved