Robust complete synchronization of electrical coupling neurons under uncertain heterogeneous disturbances using adaptive internal model

Xile Wei, Jiang Wang, Yanqiu Che, Bin Deng, Feng Dong

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

An adaptive internal model control strategy is introduced into the robust complete synchronization of two gap-junction coupled FizHugh-Nagumo (FHN) neurons under uncertain heterogeneous disturbances which satisfies some general immersion condition. The synchronization problem can be converted into a robust stabilization problem of an augmented system consisting of the original given plants and an internal model. An adaptive law is employed against uncertain disturbances to make the estimate of internal model to converge to the ideal one. Following a proper state-feedback stabilizer is designed to guarantee the asymptotic stability of the resulting closed-loop system achieved for some appointed initial condition in the state space and for all possible values of the uncertain parameter vector. Finally, the simulation results demonstrate the validity of the proposed method.

Original languageEnglish (US)
Title of host publicationProceedings of the 31st Annual International Conference of the IEEE Engineering in Medicine and Biology Society
Subtitle of host publicationEngineering the Future of Biomedicine, EMBC 2009
PublisherIEEE Computer Society
Pages3457-3460
Number of pages4
ISBN (Print)9781424432967
DOIs
Publication statusPublished - Jan 1 2009
Event31st Annual International Conference of the IEEE Engineering in Medicine and Biology Society: Engineering the Future of Biomedicine, EMBC 2009 - Minneapolis, MN, United States
Duration: Sep 2 2009Sep 6 2009

Publication series

NameProceedings of the 31st Annual International Conference of the IEEE Engineering in Medicine and Biology Society: Engineering the Future of Biomedicine, EMBC 2009

Other

Other31st Annual International Conference of the IEEE Engineering in Medicine and Biology Society: Engineering the Future of Biomedicine, EMBC 2009
CountryUnited States
CityMinneapolis, MN
Period9/2/099/6/09

    Fingerprint

All Science Journal Classification (ASJC) codes

  • Cell Biology
  • Developmental Biology
  • Biomedical Engineering
  • Medicine(all)

Cite this

Wei, X., Wang, J., Che, Y., Deng, B., & Dong, F. (2009). Robust complete synchronization of electrical coupling neurons under uncertain heterogeneous disturbances using adaptive internal model. In Proceedings of the 31st Annual International Conference of the IEEE Engineering in Medicine and Biology Society: Engineering the Future of Biomedicine, EMBC 2009 (pp. 3457-3460). [5334599] (Proceedings of the 31st Annual International Conference of the IEEE Engineering in Medicine and Biology Society: Engineering the Future of Biomedicine, EMBC 2009). IEEE Computer Society. https://doi.org/10.1109/IEMBS.2009.5334599