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The synchronization between two discrete-time chaotic systems using active robust model predictive control

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Abstract

In this paper, we consider the synchronization of two discrete-time chaotic systems. A novel active robust model predictive strategy is proposed to guarantee the synchronization of two discrete-time systems in the presence of model uncertainty. The proposed approach reduces the synchronization to a convex optimization involving linear matrix inequalities. The numerical simulations illustrate the effectiveness of the proposed method.

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Acknowledgements

This work was supported by National Natural Science Foundation of China under Grants 60974051, 61273144, Natural Science Foundation of Beijing under Grant 4122071, Fundamental Research Funds for the Central Universities under Grant 12MS143, the Construction Project from Beijing Municipal Commission of Education, and the Beijing Foundation of supporting for the central University in Beijing.

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Authors and Affiliations

  1. Department of Mathematics and Physics, North China Electric Power University, Baoding, 071003, PR China

    Zhang Longge

  2. Department of Automation, North China Electric Power University, Beijing, 102206, PR China

    Liu Xiangjie

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  1. Zhang Longge
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  2. Liu Xiangjie
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Correspondence to Zhang Longge.

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Longge, Z., Xiangjie, L. The synchronization between two discrete-time chaotic systems using active robust model predictive control. Nonlinear Dyn 74, 905–910 (2013). https://doi.org/10.1007/s11071-013-1009-2

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