Synchronization of Ghostburster neurons using high order sliding mode control

Chun Xiao Han, Jiang Wang, Yanqiu Che, Si Si Zhou

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

Abstract

In this paper, high order sliding mode control is proposed to realize the synchronization of two Ghostburster neurons under external electrical stimulation. Being a motion on a discontinuity set of a dynamic system, the sliding mode is used to keep accurately a given constraint and features theoretically-infinite-frequency switching. As the high order sliding mode technique employed in this paper, it considers a fractional power of the absolute value of the tracking error coupled with the sign function. This structure provides several advantages such as the simplification of the control law, higher accuracy and chattering prevention. Firstly we analyze the periodic and chaotic dynamics of individual Ghostburster neuron under different external electrical stimulus, then high order sliding mode controller is designed to synchronize two Ghostburster neurons and drive the slave neuron to act as the master one. Asymptotic synchronization of the system can be obtained by proper choice of the control parameters. Simulation results demonstrate the effectiveness of the proposed control method.

Original languageEnglish (US)
Title of host publication2010 Chinese Control and Decision Conference, CCDC 2010
Pages4371-4376
Number of pages6
DOIs
StatePublished - Aug 13 2010
Event2010 Chinese Control and Decision Conference, CCDC 2010 - Xuzhou, China
Duration: May 26 2010May 28 2010

Publication series

Name2010 Chinese Control and Decision Conference, CCDC 2010

Other

Other2010 Chinese Control and Decision Conference, CCDC 2010
CountryChina
CityXuzhou
Period5/26/105/28/10

All Science Journal Classification (ASJC) codes

  • Decision Sciences (miscellaneous)
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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  • Cite this

    Han, C. X., Wang, J., Che, Y., & Zhou, S. S. (2010). Synchronization of Ghostburster neurons using high order sliding mode control. In 2010 Chinese Control and Decision Conference, CCDC 2010 (pp. 4371-4376). [5498358] (2010 Chinese Control and Decision Conference, CCDC 2010). https://doi.org/10.1109/CCDC.2010.5498358