Adaptive finite-time stabilization of chaotic flow with a single unstable node using a nonlinear function-based global sliding mode
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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
CitationMobayen, S., Ma, J., Pujol-Vazquez, G., Acho, L., Zhu, Q. 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", 2018, p. 1-9.
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