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The observer-based synchronization and parameter estimation of a class of chaotic system via a single output

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Abstract

Observer-based synchronization and parameter estimation of chaotic systems has been an interesting and important issue in theory and various fields of application. In this paper first we investigate the observer-based synchronization of a class of chaotic systems, and then discuss its parameter estimation via a single output. We assume that only the sum of the first and second state variables is available. By constructing a proper observer, some novel criteria for observer-based synchronization and parameter estimation are proposed via a scalar input. The Lü chaotic system is taken as an example to demonstrate the efficiency of the proposed approach.

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Acknowledgements

This work was jointly supported by the National Natural Science Foundation of China under Grant Nos 11761050 and 11361043, the Natural Science Foundation of Jiangxi Province under Grant No. 20161BAB201008 and The Graduate Innovative Foundation of Jiangxi Province under Grant No. YC2017-S059.

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Authors and Affiliations

  1. Department of Mathematics, Nanchang University, Nanchang, 330031, People’s Republic of China

    Haipeng Su, Runzi Luo & Yanhui Zeng

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  1. Haipeng Su
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  2. Runzi Luo
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  3. Yanhui Zeng
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Correspondence to Runzi Luo.

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Su, H., Luo, R. & Zeng, Y. The observer-based synchronization and parameter estimation of a class of chaotic system via a single output. Pramana - J Phys 89, 78 (2017). https://doi.org/10.1007/s12043-017-1476-y

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  • DOI: https://doi.org/10.1007/s12043-017-1476-y

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