Interval type-2 fuzzy modeling and chaotic synchronization of two different memristor-based Lorenz circuits

Abstract

This paper considers the interval type-2 T-S fuzzy modeling and chaotic synchronization of two different memristor-based Lorenz circuits. In this paper, memristor-based Lorenz circuit is constructed by adding a flux-controlled memristor and phase portraits of the state variables are presented. In the meantime, an interval type-2 Takagi-Sugeno (T-S) fuzzy modeling of memristor-based Lorenz circuit proposed and the numerical simulations of the system's solution and the phase portraits are presented. Finally, the synchronization between two different memristor-based Lorenz circuits is achieved by using the proposed fuzzy controller.