Norm-Based Adaptive Control with a Novel Practical Predefined-Time Sliding Mode for Chaotic System Synchronization
This paper proposes a novel, practical, predefined-time control theory for chaotic system synchronization under external disturbances and modeling uncertainties. Based on this theory, a robust sliding mode surface is designed to minimize chattering on a sliding surface, enhancing system stability. A...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/5/748 |
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| author | Huan Ding Jing Qian Danning Tian Yun Zeng |
| author_facet | Huan Ding Jing Qian Danning Tian Yun Zeng |
| author_sort | Huan Ding |
| collection | DOAJ |
| description | This paper proposes a novel, practical, predefined-time control theory for chaotic system synchronization under external disturbances and modeling uncertainties. Based on this theory, a robust sliding mode surface is designed to minimize chattering on a sliding surface, enhancing system stability. Additionally, a norm-based adaptive control strategy is developed to dynamically adjust control gains, ensuring system convergence to the equilibrium point within the predefined time. Theoretical analysis guarantees predefined-time stability using a Lyapunov framework. Numerical simulations on the Chen and multi-wing chaotic Lu systems demonstrate the proposed method’s superior convergence speed, precision, and robustness, highlighting its applicability to complex systems. |
| format | Article |
| id | doaj-art-ab4868d37eb24e22a55d84df5561af0f |
| institution | DOAJ |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-ab4868d37eb24e22a55d84df5561af0f2025-08-20T02:52:48ZengMDPI AGMathematics2227-73902025-02-0113574810.3390/math13050748Norm-Based Adaptive Control with a Novel Practical Predefined-Time Sliding Mode for Chaotic System SynchronizationHuan Ding0Jing Qian1Danning Tian2Yun Zeng3School of Metallurgy and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, ChinaSchool of Metallurgy and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, ChinaSchool of Global Public Health, New York University, New York, NY 10012, USASchool of Metallurgy and Energy Engineering, Kunming University of Science and Technology, Kunming 650093, ChinaThis paper proposes a novel, practical, predefined-time control theory for chaotic system synchronization under external disturbances and modeling uncertainties. Based on this theory, a robust sliding mode surface is designed to minimize chattering on a sliding surface, enhancing system stability. Additionally, a norm-based adaptive control strategy is developed to dynamically adjust control gains, ensuring system convergence to the equilibrium point within the predefined time. Theoretical analysis guarantees predefined-time stability using a Lyapunov framework. Numerical simulations on the Chen and multi-wing chaotic Lu systems demonstrate the proposed method’s superior convergence speed, precision, and robustness, highlighting its applicability to complex systems.https://www.mdpi.com/2227-7390/13/5/748practical predefined-time control schemechaos synchronizationsliding mode controlnorm-based adaptive rate |
| spellingShingle | Huan Ding Jing Qian Danning Tian Yun Zeng Norm-Based Adaptive Control with a Novel Practical Predefined-Time Sliding Mode for Chaotic System Synchronization Mathematics practical predefined-time control scheme chaos synchronization sliding mode control norm-based adaptive rate |
| title | Norm-Based Adaptive Control with a Novel Practical Predefined-Time Sliding Mode for Chaotic System Synchronization |
| title_full | Norm-Based Adaptive Control with a Novel Practical Predefined-Time Sliding Mode for Chaotic System Synchronization |
| title_fullStr | Norm-Based Adaptive Control with a Novel Practical Predefined-Time Sliding Mode for Chaotic System Synchronization |
| title_full_unstemmed | Norm-Based Adaptive Control with a Novel Practical Predefined-Time Sliding Mode for Chaotic System Synchronization |
| title_short | Norm-Based Adaptive Control with a Novel Practical Predefined-Time Sliding Mode for Chaotic System Synchronization |
| title_sort | norm based adaptive control with a novel practical predefined time sliding mode for chaotic system synchronization |
| topic | practical predefined-time control scheme chaos synchronization sliding mode control norm-based adaptive rate |
| url | https://www.mdpi.com/2227-7390/13/5/748 |
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