“Master-slave H-Infinity robust controller design for synchronization of chaotic systems”

Authors: Vojtech Vesely, Adrian Ilka, Ladislav Korosi and Martin Ernek,
Affiliation: Slovak University of Technology and Chalmers University of Technology
Reference: 2019, Vol 40, No 1, pp. 41-50.

Keywords: Chaotic systems, master-slave systems, H-Infinity robust controller, Synchronization of chaotic systems, L2 gain performance

Abstract: This paper is devoted to robust master-slave controller design for generalized chaotic systems synchronization. The closed-loop system is asymptotically stable when the robust stability conditions hold and while the H-Infinity norm of the closed-loop transfer function with respect to defined output and input is strictly less than gamma>0. In this paper a modified L2 gain approach is used and an original design procedure is proposed to decrease the conservativeness of the former method. The effectiveness of the proposed method is shown in numerical examples.

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DOI forward links to this article:
[1] Vojtech Vesely and Ladislav Korosi (2019), doi:10.1109/ACCS-PEIT48329.2019.9062893
[2] Yang Wang, Zhen Wang, Lingyun Kong and Hassan Zargarzadeh (2021), doi:10.1155/2021/8845553
[3] Min Zou, Yongchun Wang, Weibing Zhu, Yu Wang, Dou Xie, Chunyan Kong and Song Tang (2025), doi:10.1016/j.ymssp.2024.111820
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BibTeX:
@article{MIC-2019-1-4,
  title={{Master-slave H-Infinity robust controller design for synchronization of chaotic systems}},
  author={Vesely, Vojtech and Ilka, Adrian and Korosi, Ladislav and Ernek, Martin},
  journal={Modeling, Identification and Control},
  volume={40},
  number={1},
  pages={41--50},
  year={2019},
  doi={10.4173/mic.2019.1.4},
  publisher={Norwegian Society of Automatic Control}
};