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Robust adaptive chatter-free finite-time control method for chaos control and (anti-)synchronization of uncertain (hyper)chaotic systems

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Abstract

This paper presents a novel robust adaptive chatter-free finite-time control (RACFFTC) strategy for chaos control and (anti-)synchronization of a class of uncertain (hyper)chaotic systems. First, nonsingular terminal sliding mode surfaces are introduced. Second, a RACFFTC controller with appropriate adaptive laws is designed to provide robustness, high control precision, and fast and finite-time convergence without requiring prior knowledge of the upper bounds of the uncertainties and external disturbances. Because the proposed RACFFTC controller consists of a discontinuous function under integral, the chattering effect is eliminated. The global finite-time stability of the closed-loop system is rigorously proven. Numerical simulations are presented to demonstrate the robustness, effectiveness and feasibility of the proposed strategy.

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Acknowledgments

This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education.

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  1. School of Electrical Engineering, University of Ulsan, 93 Daehakro, Nam-gu, Ulsan, 680-749, Korea

    Xuan-Toa Tran & Hee-Jun Kang

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  1. Xuan-Toa Tran
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Correspondence to Hee-Jun Kang.

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Tran, XT., Kang, HJ. Robust adaptive chatter-free finite-time control method for chaos control and (anti-)synchronization of uncertain (hyper)chaotic systems. Nonlinear Dyn 80, 637–651 (2015). https://doi.org/10.1007/s11071-015-1895-6

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