Adaptive Fuzzy Backstepping Control of Fractional-Order Chaotic System Synchronization Using Event-Triggered Mechanism and Disturbance Observer
The synchronization of fractional-order chaotic systems is investigated using command-filtered adaptive fuzzy control with a disturbance observer, where an event-triggered mechanism and backstepping control technique are employed. In order to relieve the pressure of the continuous update of the cont...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/6/12/714 |
| _version_ | 1797458316873433088 |
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| author | Zhiye Bai Shenggang Li Heng Liu Xiulan Zhang |
| author_facet | Zhiye Bai Shenggang Li Heng Liu Xiulan Zhang |
| author_sort | Zhiye Bai |
| collection | DOAJ |
| description | The synchronization of fractional-order chaotic systems is investigated using command-filtered adaptive fuzzy control with a disturbance observer, where an event-triggered mechanism and backstepping control technique are employed. In order to relieve the pressure of the continuous update of the controller and improve the resource utilization, an event-triggered control strategy is constructed to reduce the amount of communication for the actuator. Under the framework of adaptive fuzzy backstepping recursive design, fuzzy logical systems and disturbance observers are proposed to estimate the unknown parametric uncertainties and external disturbances, respectively. Moreover, a tracking differentiator is introduced to eliminate the drawback of the explosion of complexity in traditional backstepping. By applying the fractional-order stability theory, all closed-loop signals are bounded and chaos synchronization is achieved. Finally, a simulation example is provided to confirm the effectiveness of the designed method. |
| first_indexed | 2024-03-09T16:35:19Z |
| format | Article |
| id | doaj.art-835d33b808a04e41a4f32dfcd6e060b7 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-09T16:35:19Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-835d33b808a04e41a4f32dfcd6e060b72023-11-24T14:57:24ZengMDPI AGFractal and Fractional2504-31102022-11-0161271410.3390/fractalfract6120714Adaptive Fuzzy Backstepping Control of Fractional-Order Chaotic System Synchronization Using Event-Triggered Mechanism and Disturbance ObserverZhiye Bai0Shenggang Li1Heng Liu2Xiulan Zhang3School of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, ChinaSchool of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, ChinaSchool of Mathematics and Physics, Guangxi Minzu University, Nanning 530006, ChinaSchool of Mathematics and Physics, Guangxi Minzu University, Nanning 530006, ChinaThe synchronization of fractional-order chaotic systems is investigated using command-filtered adaptive fuzzy control with a disturbance observer, where an event-triggered mechanism and backstepping control technique are employed. In order to relieve the pressure of the continuous update of the controller and improve the resource utilization, an event-triggered control strategy is constructed to reduce the amount of communication for the actuator. Under the framework of adaptive fuzzy backstepping recursive design, fuzzy logical systems and disturbance observers are proposed to estimate the unknown parametric uncertainties and external disturbances, respectively. Moreover, a tracking differentiator is introduced to eliminate the drawback of the explosion of complexity in traditional backstepping. By applying the fractional-order stability theory, all closed-loop signals are bounded and chaos synchronization is achieved. Finally, a simulation example is provided to confirm the effectiveness of the designed method.https://www.mdpi.com/2504-3110/6/12/714fractional-order chaotic system synchronizationcommand filterevent-triggered mechanismadaptive fuzzy control |
| spellingShingle | Zhiye Bai Shenggang Li Heng Liu Xiulan Zhang Adaptive Fuzzy Backstepping Control of Fractional-Order Chaotic System Synchronization Using Event-Triggered Mechanism and Disturbance Observer Fractal and Fractional fractional-order chaotic system synchronization command filter event-triggered mechanism adaptive fuzzy control |
| title | Adaptive Fuzzy Backstepping Control of Fractional-Order Chaotic System Synchronization Using Event-Triggered Mechanism and Disturbance Observer |
| title_full | Adaptive Fuzzy Backstepping Control of Fractional-Order Chaotic System Synchronization Using Event-Triggered Mechanism and Disturbance Observer |
| title_fullStr | Adaptive Fuzzy Backstepping Control of Fractional-Order Chaotic System Synchronization Using Event-Triggered Mechanism and Disturbance Observer |
| title_full_unstemmed | Adaptive Fuzzy Backstepping Control of Fractional-Order Chaotic System Synchronization Using Event-Triggered Mechanism and Disturbance Observer |
| title_short | Adaptive Fuzzy Backstepping Control of Fractional-Order Chaotic System Synchronization Using Event-Triggered Mechanism and Disturbance Observer |
| title_sort | adaptive fuzzy backstepping control of fractional order chaotic system synchronization using event triggered mechanism and disturbance observer |
| topic | fractional-order chaotic system synchronization command filter event-triggered mechanism adaptive fuzzy control |
| url | https://www.mdpi.com/2504-3110/6/12/714 |
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