Mathematics (Feb 2020)

Chaotic Synchronization Using a Self-Evolving Recurrent Interval Type-2 Petri Cerebellar Model Articulation Controller

  • Tien-Loc Le,
  • Tuan-Tu Huynh,
  • Vu-Quynh Nguyen,
  • Chih-Min Lin,
  • Sung-Kyung Hong

DOI
https://doi.org/10.3390/math8020219
Journal volume & issue
Vol. 8, no. 2
p. 219

Abstract

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In this manuscript, the synchronization of four-dimensional (4D) chaotic systems with uncertain parameters using a self-evolving recurrent interval type-2 Petri cerebellar model articulation controller is studied. The design of the synchronization control system is comprised of a recurrent interval type-2 Petri cerebellar model articulation controller and a fuzzy compensation controller. The proposed network structure can automatically generate new rules or delete unnecessary rules based on the self-evolving algorithm. Furthermore, the gradient-descent method is applied to adjust the proposed network parameters. Through Lyapunov stability analysis, bounded system stability is guaranteed. Finally, the effectiveness of the proposed controller is illustrated using numerical simulations of 4D chaotic systems.

Keywords