Output Feedback Control of Sine-Gordon Chain over the Limited Capacity Digital Communication Channel

With the digitalization of mechatronic systems in the conditions of a shortage of available bandwidth of digital communication channels, the problem of ensuring the transfer of information between various components of the system can arise. This problem can be especially challenging in the observati...

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Main Authors: Boris Andrievsky, Yury Orlov, Alexander L. Fradkov
Format: Article
Language:English
Published: MDPI AG 2023-05-01
Series:Electronics
Subjects:
Online Access:https://www.mdpi.com/2079-9292/12/10/2269
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author Boris Andrievsky
Yury Orlov
Alexander L. Fradkov
author_facet Boris Andrievsky
Yury Orlov
Alexander L. Fradkov
author_sort Boris Andrievsky
collection DOAJ
description With the digitalization of mechatronic systems in the conditions of a shortage of available bandwidth of digital communication channels, the problem of ensuring the transfer of information between various components of the system can arise. This problem can be especially challenging in the observation and control of spatially distributed objects due to the complexity of their dynamics, wide frequency band, and other factors. In such cases, a useful approach is to employ smart sensors, in which the measurement results are encoded for transmission over a digital communication channel. Specifically, the article is focused on the transmission of measurement data for the control of energy for a spatially-distributed sine-Gordon chain. The procedures for binary coding of measurements by first- and full-order coder-decoder pairs are proposed and numerically investigated, for each of which the use of stationary and adaptive coding procedures is studied. The procedures for estimating the state of the circuit when measuring outputs are studied, and for each of them, the accuracy of not only estimating the state but also controlling the system by output with the help of an observer is considered. The results of comparative modeling are presented, demonstrating the dependence of the accuracy of estimation and control on the data transfer rate.
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spelling doaj.art-e42681c1ba31474596f5bd28925f36572023-11-18T01:10:04ZengMDPI AGElectronics2079-92922023-05-011210226910.3390/electronics12102269Output Feedback Control of Sine-Gordon Chain over the Limited Capacity Digital Communication ChannelBoris Andrievsky0Yury Orlov1Alexander L. Fradkov2Control of Complex Systems Laboratory, Institute for Problems in Mechanical Engineering of Russian Academy of Sciences (IPME RAS), 61 Bol’shoy Pr. V.O., 199178 Saint Petersburg, RussiaControl of Complex Systems Laboratory, Institute for Problems in Mechanical Engineering of Russian Academy of Sciences (IPME RAS), 61 Bol’shoy Pr. V.O., 199178 Saint Petersburg, RussiaControl of Complex Systems Laboratory, Institute for Problems in Mechanical Engineering of Russian Academy of Sciences (IPME RAS), 61 Bol’shoy Pr. V.O., 199178 Saint Petersburg, RussiaWith the digitalization of mechatronic systems in the conditions of a shortage of available bandwidth of digital communication channels, the problem of ensuring the transfer of information between various components of the system can arise. This problem can be especially challenging in the observation and control of spatially distributed objects due to the complexity of their dynamics, wide frequency band, and other factors. In such cases, a useful approach is to employ smart sensors, in which the measurement results are encoded for transmission over a digital communication channel. Specifically, the article is focused on the transmission of measurement data for the control of energy for a spatially-distributed sine-Gordon chain. The procedures for binary coding of measurements by first- and full-order coder-decoder pairs are proposed and numerically investigated, for each of which the use of stationary and adaptive coding procedures is studied. The procedures for estimating the state of the circuit when measuring outputs are studied, and for each of them, the accuracy of not only estimating the state but also controlling the system by output with the help of an observer is considered. The results of comparative modeling are presented, demonstrating the dependence of the accuracy of estimation and control on the data transfer rate.https://www.mdpi.com/2079-9292/12/10/2269sine-Gordon equationdigitalizationenergy controlspeed-gradientquantizationdata sampling
spellingShingle Boris Andrievsky
Yury Orlov
Alexander L. Fradkov
Output Feedback Control of Sine-Gordon Chain over the Limited Capacity Digital Communication Channel
Electronics
sine-Gordon equation
digitalization
energy control
speed-gradient
quantization
data sampling
title Output Feedback Control of Sine-Gordon Chain over the Limited Capacity Digital Communication Channel
title_full Output Feedback Control of Sine-Gordon Chain over the Limited Capacity Digital Communication Channel
title_fullStr Output Feedback Control of Sine-Gordon Chain over the Limited Capacity Digital Communication Channel
title_full_unstemmed Output Feedback Control of Sine-Gordon Chain over the Limited Capacity Digital Communication Channel
title_short Output Feedback Control of Sine-Gordon Chain over the Limited Capacity Digital Communication Channel
title_sort output feedback control of sine gordon chain over the limited capacity digital communication channel
topic sine-Gordon equation
digitalization
energy control
speed-gradient
quantization
data sampling
url https://www.mdpi.com/2079-9292/12/10/2269
work_keys_str_mv AT borisandrievsky outputfeedbackcontrolofsinegordonchainoverthelimitedcapacitydigitalcommunicationchannel
AT yuryorlov outputfeedbackcontrolofsinegordonchainoverthelimitedcapacitydigitalcommunicationchannel
AT alexanderlfradkov outputfeedbackcontrolofsinegordonchainoverthelimitedcapacitydigitalcommunicationchannel