Abstract
The double integral sliding mode synchronization method is studied for a class of super chaotic systems. Both the unknown parameters and uncertain nonlinear functions are considered for the driven and response chaotic systems. It is worthy pointing out that a kind of input nonlinearity is took into consideration when the synchronization controller is designed. So the uncertainties are very complex in this situation and the steady state error can be compensated by the introducing of integrator in the sliding mode. Also, double integral sliding mode has the advantages of both PI controller and sliding mode controller. So it is a new kind of integral sliding mode and the numerical simulation proves the rightness of the proposed method.
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Acknowledgements
This paper is supported by National Nature Science Foundation of China 61174031 and 61004002.
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Wang, H., Yu, J., Lei, J. (2014). Synchronization of Super Chaotic System with Uncertain Functions and Input Nonlinearity. In: Zhong, S. (eds) Proceedings of the 2012 International Conference on Cybernetics and Informatics. Lecture Notes in Electrical Engineering, vol 163. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-3872-4_211
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DOI: https://doi.org/10.1007/978-1-4614-3872-4_211
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