Adaptive synchronization of complicated chaotic systems with uncertainties via fuzzy modeling-based control strategy

In this paper, adaptive control of complicated chaotic systems with unknown parameters is discussed via a set of fuzzy modeling-based adaptive strategy. The proposed fuzzy model theory aims to adjust the inner-weighting of each linear sub-equation, simplize the complicated modeling process, and to reveal the similar behaviors of complicated nonlinear dynamic system. Further, based on the modeling concept, a set of fuzzy model-based adaptive control scheme and its creative fuzzy update laws of parameters are proposed to achieve the goal of adaptive synchronization. Two identical complicated dynamic systems, Mathieu-Van der pol system (M-V system) with uncertainties, are designed and illustrated for numerical simulation example to show the effectiveness and feasibility of the proposed novel adaptive control strategy.