Synchronization for Nonlinear Time-Delay Chaotic Diabetes Mellitus System via Sliding Mode Control

  • Nalini Prasad MohantyEmail author
  • Rajeeb Dey
  • Binoy Krishna Roy
Conference paper
Part of the Learning and Analytics in Intelligent Systems book series (LAIS, volume 12)


Recent studies revealed that chaotic behavior exists in some nonlinear model of diabetes mellitus due to the interaction of externally injected insulin and blood glucose. This work deals with the design of a sliding mode synchronization control technique for a nonlinear model based glucose-insulin regulatory system that takes into account the β-cell kinetics in the model. A sliding mode control technique is used for synchronization between master and slave system where the master system is the healthy diabetes mellitus system and the slave system is the diseased diabetes mellitus system. The simulation results of synchronization are presented to demonstrate the effectiveness of the derived results for curing diseases related to the diabetes mellitus.


Synchronization Nonlinear time-delay system Sliding mode control Diabetes mellitus 



Authors wish to thank Electrical Engineering Department, NIT Silchar and TEQIP-III for necessary support/funding for presenting this work.


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Nalini Prasad Mohanty
    • 1
    Email author
  • Rajeeb Dey
    • 1
  • Binoy Krishna Roy
    • 1
  1. 1.Department of Electrical EngineeringNational Institute of Technology SilcharSilcharIndia

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