Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control
Backstepping control approach combined with sliding mode control (SMC) technique is utilized to realize synchronization of uncertain fractional-order strict-feedback chaotic system. A backstepping SMC method is presented to compensate the uncertainty which occurs in the slave system. Moreover, the n...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/732503 |
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| _version_ | 1832551731171426304 |
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| author | Zhen Wang |
| author_facet | Zhen Wang |
| author_sort | Zhen Wang |
| collection | DOAJ |
| description | Backstepping control approach combined with sliding mode control (SMC) technique is utilized to realize synchronization of uncertain fractional-order strict-feedback chaotic system. A backstepping SMC method is presented to compensate the uncertainty which occurs in the slave system. Moreover, the newly proposed control scheme is applied to implement synchronization of fractional-order Duffing-Holmes system. The simulation results demonstrate that the backstepping SMC method is robust against the modeling uncertainties and external disturbances. |
| format | Article |
| id | doaj-art-49941209762d495091c2c9e9cafdfbc3 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-49941209762d495091c2c9e9cafdfbc32025-02-03T06:00:44ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/732503732503Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode ControlZhen Wang0College of Information Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, ChinaBackstepping control approach combined with sliding mode control (SMC) technique is utilized to realize synchronization of uncertain fractional-order strict-feedback chaotic system. A backstepping SMC method is presented to compensate the uncertainty which occurs in the slave system. Moreover, the newly proposed control scheme is applied to implement synchronization of fractional-order Duffing-Holmes system. The simulation results demonstrate that the backstepping SMC method is robust against the modeling uncertainties and external disturbances.http://dx.doi.org/10.1155/2013/732503 |
| spellingShingle | Zhen Wang Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control Discrete Dynamics in Nature and Society |
| title | Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control |
| title_full | Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control |
| title_fullStr | Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control |
| title_full_unstemmed | Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control |
| title_short | Synchronization of an Uncertain Fractional-Order Chaotic System via Backstepping Sliding Mode Control |
| title_sort | synchronization of an uncertain fractional order chaotic system via backstepping sliding mode control |
| url | http://dx.doi.org/10.1155/2013/732503 |
| work_keys_str_mv | AT zhenwang synchronizationofanuncertainfractionalorderchaoticsystemviabacksteppingslidingmodecontrol |