New Predefined Time Sliding Mode Control Scheme for Multi-Switch Combination–Combination Synchronization of Fractional-Order Hyperchaotic Systems
A new predefined time sliding mode control theme is proposed and applies to the multi-switch combination–combination synchronization (MSCCS) of fractional-order (FO) hyperchaotic systems. Firstly, based on the Lyapunov stability theory, we demonstrate the effectiveness of our proposed predefined tim...
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MDPI AG
2025-02-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/9/3/147 |
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| author | Hailong Zhang Zhaojun Xi |
| author_facet | Hailong Zhang Zhaojun Xi |
| author_sort | Hailong Zhang |
| collection | DOAJ |
| description | A new predefined time sliding mode control theme is proposed and applies to the multi-switch combination–combination synchronization (MSCCS) of fractional-order (FO) hyperchaotic systems. Firstly, based on the Lyapunov stability theory, we demonstrate the effectiveness of our proposed predefined time sliding mode control theme. Meanwhile, based on the new predefined time control strategy, we propose new sliding mode surfaces and controllers to achieve the MSCCS of FO hyperchaotic systems. Considering the system’s external environment’s complexity in practical applications, the parameter uncertainties and external disturbances are added to the FO hyperchaotic system. Through the final numerical simulation, the predefined time slide mode controller proposed in this paper can make the drive–response systems reach the predefined time synchronization, thus proving the effectiveness of the control strategy and its robustness to some unfavorable factors, such as external perturbations. |
| format | Article |
| id | doaj-art-f0dddb6cb71d474d91dd2fda4a7042e0 |
| institution | OA Journals |
| issn | 2504-3110 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj-art-f0dddb6cb71d474d91dd2fda4a7042e02025-08-20T02:11:11ZengMDPI AGFractal and Fractional2504-31102025-02-019314710.3390/fractalfract9030147New Predefined Time Sliding Mode Control Scheme for Multi-Switch Combination–Combination Synchronization of Fractional-Order Hyperchaotic SystemsHailong Zhang0Zhaojun Xi1School of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Aerospace Engineering, Huazhong University of Science and Technology, Wuhan 430074, ChinaA new predefined time sliding mode control theme is proposed and applies to the multi-switch combination–combination synchronization (MSCCS) of fractional-order (FO) hyperchaotic systems. Firstly, based on the Lyapunov stability theory, we demonstrate the effectiveness of our proposed predefined time sliding mode control theme. Meanwhile, based on the new predefined time control strategy, we propose new sliding mode surfaces and controllers to achieve the MSCCS of FO hyperchaotic systems. Considering the system’s external environment’s complexity in practical applications, the parameter uncertainties and external disturbances are added to the FO hyperchaotic system. Through the final numerical simulation, the predefined time slide mode controller proposed in this paper can make the drive–response systems reach the predefined time synchronization, thus proving the effectiveness of the control strategy and its robustness to some unfavorable factors, such as external perturbations.https://www.mdpi.com/2504-3110/9/3/147fractional-order hyperchaotic systempredefined time synchronizationmulti-switch combination–combination synchronization |
| spellingShingle | Hailong Zhang Zhaojun Xi New Predefined Time Sliding Mode Control Scheme for Multi-Switch Combination–Combination Synchronization of Fractional-Order Hyperchaotic Systems Fractal and Fractional fractional-order hyperchaotic system predefined time synchronization multi-switch combination–combination synchronization |
| title | New Predefined Time Sliding Mode Control Scheme for Multi-Switch Combination–Combination Synchronization of Fractional-Order Hyperchaotic Systems |
| title_full | New Predefined Time Sliding Mode Control Scheme for Multi-Switch Combination–Combination Synchronization of Fractional-Order Hyperchaotic Systems |
| title_fullStr | New Predefined Time Sliding Mode Control Scheme for Multi-Switch Combination–Combination Synchronization of Fractional-Order Hyperchaotic Systems |
| title_full_unstemmed | New Predefined Time Sliding Mode Control Scheme for Multi-Switch Combination–Combination Synchronization of Fractional-Order Hyperchaotic Systems |
| title_short | New Predefined Time Sliding Mode Control Scheme for Multi-Switch Combination–Combination Synchronization of Fractional-Order Hyperchaotic Systems |
| title_sort | new predefined time sliding mode control scheme for multi switch combination combination synchronization of fractional order hyperchaotic systems |
| topic | fractional-order hyperchaotic system predefined time synchronization multi-switch combination–combination synchronization |
| url | https://www.mdpi.com/2504-3110/9/3/147 |
| work_keys_str_mv | AT hailongzhang newpredefinedtimeslidingmodecontrolschemeformultiswitchcombinationcombinationsynchronizationoffractionalorderhyperchaoticsystems AT zhaojunxi newpredefinedtimeslidingmodecontrolschemeformultiswitchcombinationcombinationsynchronizationoffractionalorderhyperchaoticsystems |