Synchronization of Different Uncertain Fractional-Order Chaotic Systems with External Disturbances via T-S Fuzzy Model
This paper presents an adaptive fuzzy synchronization control strategy for a class of different uncertain fractional-order chaotic/hyperchaotic systems with unknown external disturbances via T-S fuzzy systems, where the parallel distributed compensation technology is provided to design adaptive cont...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/2793673 |
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| _version_ | 1832550765042860032 |
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| author | Lin Wang Jinbo Ni Chunzhi Yang |
| author_facet | Lin Wang Jinbo Ni Chunzhi Yang |
| author_sort | Lin Wang |
| collection | DOAJ |
| description | This paper presents an adaptive fuzzy synchronization control strategy for a class of different uncertain fractional-order chaotic/hyperchaotic systems with unknown external disturbances via T-S fuzzy systems, where the parallel distributed compensation technology is provided to design adaptive controller with fractional adaptation laws. T-S fuzzy models are employed to approximate the unknown nonlinear systems and tracking error signals are used to update the parametric estimates. The asymptotic stability of the closed-loop system and the boundedness of the states and parameters are guaranteed by fractional Lyapunov theory. This approach is also valid for synchronization of fractional-order chaotic systems with the same system structure. One constructive example is given to verify the feasibility and superiority of the proposed method. |
| format | Article |
| id | doaj-art-8fc782ef45344530af46959d9acf866d |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-8fc782ef45344530af46959d9acf866d2025-02-03T06:05:56ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/27936732793673Synchronization of Different Uncertain Fractional-Order Chaotic Systems with External Disturbances via T-S Fuzzy ModelLin Wang0Jinbo Ni1Chunzhi Yang2School of Mathematics and Big Date, Anhui University of Science and Technology, Huainan 232001, ChinaSchool of Mathematics and Big Date, Anhui University of Science and Technology, Huainan 232001, ChinaDepartment of Applied Mathematics, Huainan Normal University, Huainan 232038, ChinaThis paper presents an adaptive fuzzy synchronization control strategy for a class of different uncertain fractional-order chaotic/hyperchaotic systems with unknown external disturbances via T-S fuzzy systems, where the parallel distributed compensation technology is provided to design adaptive controller with fractional adaptation laws. T-S fuzzy models are employed to approximate the unknown nonlinear systems and tracking error signals are used to update the parametric estimates. The asymptotic stability of the closed-loop system and the boundedness of the states and parameters are guaranteed by fractional Lyapunov theory. This approach is also valid for synchronization of fractional-order chaotic systems with the same system structure. One constructive example is given to verify the feasibility and superiority of the proposed method.http://dx.doi.org/10.1155/2018/2793673 |
| spellingShingle | Lin Wang Jinbo Ni Chunzhi Yang Synchronization of Different Uncertain Fractional-Order Chaotic Systems with External Disturbances via T-S Fuzzy Model Journal of Function Spaces |
| title | Synchronization of Different Uncertain Fractional-Order Chaotic Systems with External Disturbances via T-S Fuzzy Model |
| title_full | Synchronization of Different Uncertain Fractional-Order Chaotic Systems with External Disturbances via T-S Fuzzy Model |
| title_fullStr | Synchronization of Different Uncertain Fractional-Order Chaotic Systems with External Disturbances via T-S Fuzzy Model |
| title_full_unstemmed | Synchronization of Different Uncertain Fractional-Order Chaotic Systems with External Disturbances via T-S Fuzzy Model |
| title_short | Synchronization of Different Uncertain Fractional-Order Chaotic Systems with External Disturbances via T-S Fuzzy Model |
| title_sort | synchronization of different uncertain fractional order chaotic systems with external disturbances via t s fuzzy model |
| url | http://dx.doi.org/10.1155/2018/2793673 |
| work_keys_str_mv | AT linwang synchronizationofdifferentuncertainfractionalorderchaoticsystemswithexternaldisturbancesviatsfuzzymodel AT jinboni synchronizationofdifferentuncertainfractionalorderchaoticsystemswithexternaldisturbancesviatsfuzzymodel AT chunzhiyang synchronizationofdifferentuncertainfractionalorderchaoticsystemswithexternaldisturbancesviatsfuzzymodel |