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Feedback Control Over Lossy SNR-Limited Channels: Linear Encoder-Decoder-Controller Design
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Signals and Systems Group.ORCID iD: 0000-0003-0762-5743
Univ Padua, Dept Informat Engn, I-35131 Padua, Italy..
Univ Padua, Dept Informat Engn, I-35131 Padua, Italy..
2017 (English)In: IEEE Transactions on Automatic Control, ISSN 0018-9286, E-ISSN 1558-2523, Vol. 62, no 6, p. 3054-3061Article in journal (Refereed) Published
Abstract [en]

In this paper, we consider the problem of encoding and decoding codesign for linear feedback control of a scalar, possibly unstable, stochastic linear system when the sensed signal is to be transmitted over a finite capacity communication channel. In particular, we consider a limited capacity channel which transmits quantized data and is subject to packet losses. We first characterize the optimal strategy when perfect channel feedback is available, i.e., the transmitter has perfect knowledge of the packet loss history. This optimal scheme, innovation forwarding hereafter, is reminiscent of differential pulse-code modulation schemes adapted to deal with state space models, and is strictly better than a scheme which simply transmits the measured data, called measurement forwarding (MF) hereafter. Comparison in terms of control cost as well as of critical regimes, i.e., regimes where the cost is not finite, are provided. We also consider and compare two popular suboptimal schemes from the existing literature, based on 1) state estimate forwarding and 2) measurement forwarding, which ignore quantization effects in the associated estimator and controller design. In particular, it is shown that surprisingly the suboptimal MF strategy is always better then the suboptimal state forwarding strategy for small signal-to-quantization-noise-ratios.

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers (IEEE), 2017. Vol. 62, no 6, p. 3054-3061
Keywords [en]
Control under communication constraints, linear quadratic Gaussian (LQG) control, packet losses, quantization
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:uu:diva-327236DOI: 10.1109/TAC.2017.2674024ISI: 000402733600043OAI: oai:DiVA.org:uu-327236DiVA, id: diva2:1130160
Funder
Swedish Research Council, DNR 621-2013-5395Available from: 2017-08-08 Created: 2017-08-08 Last updated: 2017-09-08Bibliographically approved

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Dey, Subhrakanti

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