Adaptive interval type-2 FNN $H^\infty$ control for synchronization between two different time-delay chaotic systems

  • Tsung-Chih Lin
  • Mehdi Roopaei
  • Valentina Emilia Balas

Abstract

A new adaptive interval type-2 fuzzy neural network (FNN) control for chaos synchronization between two different time-delay chaotic systems is proposed to handle the training data corrupted by noise or rule uncertainties involving external disturbances. Based on the adaptive time-delay interval type-2 fuzzy logic systems, by adjusting weights, centers and widths the modeling errors and the synchronization error can be eliminated by a compensator. In the meantime, the $H^\infty $ tracking approach is incorporated to synchronize two different time-delay chaotic systems. The Laypunov stability theorem has been used to derive the sufficient conditions that ensure synchronization performance between two different time-delay chaotic systems. Moreover, the stability analysis of the proposed control scheme will be guaranteed in the sense that all the states and signals are uniformly bounded and arbitrary small attenuation level of the external disturbance on the synchronization errors can be achieved. The simulation example is included to confirm validity and performance of the advocated design methodology.
Published
2011-02-15
Section
Articles