Accurate Synchronization of Digital and Analog Chaotic Systems by Parameters Re-Identification
The verification of the digital models of chaotic systems and processes is a valuable problem in many practical applications, such as nonlinear control and communications. In our study, we propose a hybrid technique for chaotic systems’ identification, based on the chaotic synchronization...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2018-07-01
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| Series: | Electronics |
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| Online Access: | http://www.mdpi.com/2079-9292/7/7/123 |
| _version_ | 1798003615232688128 |
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| author | Timur Karimov Denis Butusov Valery Andreev Artur Karimov Aleksandra Tutueva |
| author_facet | Timur Karimov Denis Butusov Valery Andreev Artur Karimov Aleksandra Tutueva |
| author_sort | Timur Karimov |
| collection | DOAJ |
| description | The verification of the digital models of chaotic systems and processes is a valuable problem in many practical applications, such as nonlinear control and communications. In our study, we propose a hybrid technique for chaotic systems’ identification, based on the chaotic synchronization of digital and analog counterparts and a numerical optimization method used for the fine tuning of parameters. An analog circuit implementing the Rössler oscillator with digitally controlled parameters was chosen as an identification object, and the FPGA model was used as a digital counterpart for coupling and parameter retrieval. The synchronization between analog and digital chaotic models can be used to estimate the quality of an identification procedure. The results of this study clarify the practical bounds of digital and analog systems’ equivalence. They also contribute to the problem of designing technical systems possessing advantages of both analog and digital chaotic generators (e.g., a high accuracy and protection from quasi-chaotic oscillation modes). |
| first_indexed | 2024-04-11T12:10:45Z |
| format | Article |
| id | doaj.art-6d99177c62a9431cb5e9111b1d08b571 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-04-11T12:10:45Z |
| publishDate | 2018-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-6d99177c62a9431cb5e9111b1d08b5712022-12-22T04:24:37ZengMDPI AGElectronics2079-92922018-07-017712310.3390/electronics7070123electronics7070123Accurate Synchronization of Digital and Analog Chaotic Systems by Parameters Re-IdentificationTimur Karimov0Denis Butusov1Valery Andreev2Artur Karimov3Aleksandra Tutueva4Department of Computer-Aided Design, Saint-Petersburg Electrotechnical University “LETI”, Saint Petersburg 197376, RussiaYouth Research Institute, Saint-Petersburg Electrotechnical University “LETI”, Saint Petersburg 197376, RussiaDepartment of Computer-Aided Design, Saint-Petersburg Electrotechnical University “LETI”, Saint Petersburg 197376, RussiaYouth Research Institute, Saint-Petersburg Electrotechnical University “LETI”, Saint Petersburg 197376, RussiaDepartment of Computer-Aided Design, Saint-Petersburg Electrotechnical University “LETI”, Saint Petersburg 197376, RussiaThe verification of the digital models of chaotic systems and processes is a valuable problem in many practical applications, such as nonlinear control and communications. In our study, we propose a hybrid technique for chaotic systems’ identification, based on the chaotic synchronization of digital and analog counterparts and a numerical optimization method used for the fine tuning of parameters. An analog circuit implementing the Rössler oscillator with digitally controlled parameters was chosen as an identification object, and the FPGA model was used as a digital counterpart for coupling and parameter retrieval. The synchronization between analog and digital chaotic models can be used to estimate the quality of an identification procedure. The results of this study clarify the practical bounds of digital and analog systems’ equivalence. They also contribute to the problem of designing technical systems possessing advantages of both analog and digital chaotic generators (e.g., a high accuracy and protection from quasi-chaotic oscillation modes).http://www.mdpi.com/2079-9292/7/7/123chaosnonlinear systemschaotic synchronizationsystem identificationbifurcation analysisFPGA |
| spellingShingle | Timur Karimov Denis Butusov Valery Andreev Artur Karimov Aleksandra Tutueva Accurate Synchronization of Digital and Analog Chaotic Systems by Parameters Re-Identification Electronics chaos nonlinear systems chaotic synchronization system identification bifurcation analysis FPGA |
| title | Accurate Synchronization of Digital and Analog Chaotic Systems by Parameters Re-Identification |
| title_full | Accurate Synchronization of Digital and Analog Chaotic Systems by Parameters Re-Identification |
| title_fullStr | Accurate Synchronization of Digital and Analog Chaotic Systems by Parameters Re-Identification |
| title_full_unstemmed | Accurate Synchronization of Digital and Analog Chaotic Systems by Parameters Re-Identification |
| title_short | Accurate Synchronization of Digital and Analog Chaotic Systems by Parameters Re-Identification |
| title_sort | accurate synchronization of digital and analog chaotic systems by parameters re identification |
| topic | chaos nonlinear systems chaotic synchronization system identification bifurcation analysis FPGA |
| url | http://www.mdpi.com/2079-9292/7/7/123 |
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