Synchronization of uncertain multivariable chaotic systems using adaptive interval type-2 fuzzy sliding mode control

In this paper, an adaptive interval type-2 fuzzy neural network (FNN) controller is presented to synchronize multivariable chaotic systems with training data corrupted by noise or rule uncertainties. Adaptive interval type-2 FNN control scheme and sliding mode approach are incorporated to deal with the synchronization of two non-identical chaotic systems. In the meantime, based on the adaptive fuzzy sliding mode control, the Laypunov stability theorem has been used to testify the asymptotic stability of the chaotic systems. The simulation example is included to confirm validity and performance of the advocated design methodology.