Adaptive finite-time stabilization of chaotic flow with a single unstable node using a nonlinear function-based global sliding mode

Mobayen, Saleh; Ma, Jun; Pujol-Vazquez, Gisela; Acho, Leonardo; Zhu, Quanmin

Abstract

© 2018, Shiraz University. This article presents a novel adaptive finite-time stabilization technique based on global sliding mode for disturbed chaotic flow with a single unstable node. The considered chaotic flow has unusual characteristics containing attractor merging, symmetry breaking, attracting tori and different forms of multi-stability. A nonlinear function is employed in the global sliding surface to modify damping ratio and improve the transient performance. The damping ratio of the closed-loop system is improved when the states converge to the origin. Using the new chattering-free controller, the reaching mode is removed and the sliding behavior is presented right from the first instant. The adaptive finite-time tuning law eliminates the requirement of the information about the disturbances’ bounds. Illustrative simulations are provided to display the efficiency of the proposed scheme.

Citation

Mobayen, S., Ma, J., Pujol-Vazquez, G., Acho, L., & Zhu, Q. (2019). Adaptive finite-time stabilization of chaotic flow with a single unstable node using a nonlinear function-based global sliding mode. Iranian Journal of Science and Technology Transactions of Electrical Engineering, 43(1), 339-347. https://doi.org/10.1007/s40998-018-0153-6

• Journal Article Type: Article
• Acceptance Date: Jul 2, 2018
• Online Publication Date: Oct 1, 2018
• Publication Date: Jul 1, 2019
• Deposit Date: Oct 2, 2018
• Publicly Available Date: Oct 2, 2019
• Journal: Iranian Journal of Science and Technology - Transactions of Electrical Engineering
• Print ISSN: 2228-6179
• Electronic ISSN: 2364-1827
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 43
• Issue: 1
• Pages: 339-347
• DOI: https://doi.org/10.1007/s40998-018-0153-6
• Keywords: global sliding mode, adaptive gain tuning, finite-time control, chaotic flow, unstable node
• Public URL: https://uwe-repository.worktribe.com/output/859500
• Publisher URL: https://doi.org/10.1007/s40998-018-0153-6
• Additional Information: Additional Information : The final publication is available at Springer via https://doi.org/10.1007/s40998-018-0153-6