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Frequency-domain criterion for the chaos synchronization of time-delay power systems under linear feedback control

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Abstract

This paper studies the global synchronization of non-autonomous, time-delay, chaotic power systems via linear state-error feedback control. The frequency domain criterion and the LMI criterion are proposed and applied to design the coupling matrix. Some algebraic criteria via a single-variable linear coupling are derived and formulated in simple algebraic inequalities. The effectiveness of the new criteria is illustrated with numerical examples.

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Acknowledgements

This work was supported by the National Nature Science Foundation of China under Grant Nos 61074012 and 11202239, by China Postdoctoral Science Foundation founded project under Grant No. 2012M521890 and by the Natural Science Foundation of Naval University of Engineering under Grant No. HGDYDJJ11010.

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Authors and Affiliations

  1. College of Electronic Engineering, Naval University of Engineering, Wuhan, 430033, People’s Republic of China

    QIAN LIN, XIAOFENG WU & YUN CHEN

  2. Guangzhou Naval Marine Academy, Guangzhou, 510430, People’s Republic of China

    XIAOFENG WU

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  1. QIAN LIN
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  2. XIAOFENG WU
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  3. YUN CHEN
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Correspondence to QIAN LIN.

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LIN, Q., WU, X. & CHEN, Y. Frequency-domain criterion for the chaos synchronization of time-delay power systems under linear feedback control. Pramana - J Phys 85, 1131–1142 (2015). https://doi.org/10.1007/s12043-015-0945-4

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  • DOI: https://doi.org/10.1007/s12043-015-0945-4

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