Dynamic Analysis and Robust Control of a Chaotic System with Hidden Attractor
In this paper, a 3D jerk chaotic system with hidden attractor was explored, and the dissipativity, equilibrium, and stability of this system were investigated. The attractor types, Lyapunov exponents, and Poincare section of the system under different parameters were analyzed. Additionally, a circui...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/8865522 |
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| _version_ | 1850226126377451520 |
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| author | Huaigu Tian Zhen Wang Peijun Zhang Mingshu Chen Yang Wang |
| author_facet | Huaigu Tian Zhen Wang Peijun Zhang Mingshu Chen Yang Wang |
| author_sort | Huaigu Tian |
| collection | DOAJ |
| description | In this paper, a 3D jerk chaotic system with hidden attractor was explored, and the dissipativity, equilibrium, and stability of this system were investigated. The attractor types, Lyapunov exponents, and Poincare section of the system under different parameters were analyzed. Additionally, a circuit was carried out, and a good similarity between the circuit experimental results and the theoretical analysis testifies the feasibility and practicality of the original system. Furthermore, a robust feedback controller was designed based on the finite-time stability theory, which guarantees the synchronization of 3D jerk master-slave system in finite time and asymptotically converges to the origin. Finally, we also give verification for the discussion in this paper by numerical simulation. |
| format | Article |
| id | doaj-art-5ebba1796c3c489c855203b4c2d4d41c |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-5ebba1796c3c489c855203b4c2d4d41c2025-08-20T02:05:10ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/88655228865522Dynamic Analysis and Robust Control of a Chaotic System with Hidden AttractorHuaigu Tian0Zhen Wang1Peijun Zhang2Mingshu Chen3Yang Wang4Shaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an 710123, ChinaSchool of Civil Engineering and Architecture, Xi’an University of Technology, Xi’an 710048, ChinaShaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an 710123, ChinaShaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an 710123, ChinaShaanxi Engineering Research Center of Controllable Neutron Source, School of Science, Xijing University, Xi’an 710123, ChinaIn this paper, a 3D jerk chaotic system with hidden attractor was explored, and the dissipativity, equilibrium, and stability of this system were investigated. The attractor types, Lyapunov exponents, and Poincare section of the system under different parameters were analyzed. Additionally, a circuit was carried out, and a good similarity between the circuit experimental results and the theoretical analysis testifies the feasibility and practicality of the original system. Furthermore, a robust feedback controller was designed based on the finite-time stability theory, which guarantees the synchronization of 3D jerk master-slave system in finite time and asymptotically converges to the origin. Finally, we also give verification for the discussion in this paper by numerical simulation.http://dx.doi.org/10.1155/2021/8865522 |
| spellingShingle | Huaigu Tian Zhen Wang Peijun Zhang Mingshu Chen Yang Wang Dynamic Analysis and Robust Control of a Chaotic System with Hidden Attractor Complexity |
| title | Dynamic Analysis and Robust Control of a Chaotic System with Hidden Attractor |
| title_full | Dynamic Analysis and Robust Control of a Chaotic System with Hidden Attractor |
| title_fullStr | Dynamic Analysis and Robust Control of a Chaotic System with Hidden Attractor |
| title_full_unstemmed | Dynamic Analysis and Robust Control of a Chaotic System with Hidden Attractor |
| title_short | Dynamic Analysis and Robust Control of a Chaotic System with Hidden Attractor |
| title_sort | dynamic analysis and robust control of a chaotic system with hidden attractor |
| url | http://dx.doi.org/10.1155/2021/8865522 |
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