Robust sliding-mode backstepping design for synchronization control of cross-strict feedback hyperchaotic systems with unmatched uncertainties |
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| Affiliation: | 1. School of Computer Science, China University of Geosciences, Wuhan 430074, PR China;2. Hubei Key Laboratory of Intelligent Geo-Information Processing, China University of Geosciences, Wuhan 430074, PR China;3. Mechatronics, Embedded Systems and Automation Lab, University of California, Merced, CA 95343, USA;4. Department of Applied Mathematics, Donghua University, Shanghai 201620, PR China;1. Graduate School of Electrical Engineering, University of Ulsan, San 29, Muger 2 dong, Nam-gu, Ulsan 680-749, South Korea;2. School of Electrical Engineering, University of Ulsan, San 29, Muger 2 dong, Nam-gu, Ulsan 680-749, South Korea |
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| Abstract: | This paper is concerned with the synchronization problem for a class of hyperchaotic chaotic systems. Using sliding mode control approach and backstepping control, a robust control scheme is proposed to make most of the synchronization errors of the systems to zero for matched and unmatched uncertainties. And only one of the synchronization errors of the systems may not be zero, but it is bounded. Meanwhile, the chattering phenomenon is eliminated. The proposed methods can be applied to a variety of chaos systems which can be described by the so-called cross-strict feedback form. Numerical simulations are given to demonstrate the efficiency of the proposed control schemes. |
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