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Robust chaos synchronisation for a class of disturbed Rössler systems with multiple time-delays

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  • Yi-You Hou

Abstract

This paper investigates the robust synchronisation problem for a class of Rössler systems with multiple time delays. Based on the proportional-integral switching surface, a sliding mode control (SMC) is derived to not only guarantee synchronisation between the master and slave Rössler systems with multiple time delays but also have a H∞ noise perturbation attenuation performance. The parameter matrix necessary for constructing both PI switching surface and the SMC can be easily solved by linear matrix inequality optimisation technique. The simulations results are presented to show the effectiveness of the proposed method.

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  • Yi-You Hou, 2015. "Robust chaos synchronisation for a class of disturbed Rössler systems with multiple time-delays," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(11), pages 1909-1916, August.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:11:p:1909-1916
    DOI: 10.1080/00207721.2013.843212
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    References listed on IDEAS

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    1. Yau, Her-Terng & Chen, Chieh-Li, 2006. "Chattering-free fuzzy sliding-mode control strategy for uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 709-718.
    2. Chun-Fu Chuang & Wen-June Wang & Yeong-Jeu Sun & Ying-Jen Chen, 2013. "Convergence time guarantee for uncertain chaotic systems synchronisation," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(6), pages 1052-1060.
    3. Li, Ping & Cao, Jinde & Wang, Zidong, 2007. "Robust impulsive synchronization of coupled delayed neural networks with uncertainties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 261-272.
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