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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Format: | Article |
Language: | English |
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MDPI AG
2023-05-01
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Series: | Electronics |
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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. |
first_indexed | 2024-03-11T03:47:13Z |
format | Article |
id | doaj.art-e42681c1ba31474596f5bd28925f3657 |
institution | Directory Open Access Journal |
issn | 2079-9292 |
language | English |
last_indexed | 2024-03-11T03:47:13Z |
publishDate | 2023-05-01 |
publisher | MDPI AG |
record_format | Article |
series | Electronics |
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 |
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