Stable adaptive synchronization of a class of uncertain time-delay chaotic systems via H∞ type-2 FNN control

In this paper, a new direct adaptive interval type-2 fuzzy controller is proposed to synchronize between two different chaotic time-delay systems with noisy training data or rule uncertainties. Based on the adaptive time-delay interval type-2 fuzzy logic systems in which linguistic fuzzy control rules can be directly incorporated into the controller and by adjusting weights, centers and widths, the modeling and synchronization errors can be eliminated by using H^∞ tracking approach. It is shown that a master time-delay chaotic system with the desired system dynamics is used as a reference model for the output of slave time-delay chaotic system to track. The simulation example is included to confirm validity and performance of the advocated design methodology.