Fuzzy Modeling and Synchronization of Two Totally Different Chaotic Systems via Novel Fuzzy Model

In this paper, a new fuzzy model is presented to simulate and synchronize two totally different and complicated chaotic systems, namely, 1) quantum cellular neural networks nanosystem (Quantum-CNN system) and 2) Qi system. Through the new fuzzy model, the following three main advantages can be obtained: 1) only two linear subsystems are needed; 2) the numbers of fuzzy rules can be reduced from
$2^{ N }$
to
$2 \times N$
(comparing with the Takagi–Sugeno fuzzy model), where
$N$
is the number of nonlinear terms; 3) fuzzy synchronization of two different chaotic systems with different numbers of nonlinear terms can be achieved with only two sets of gain
$K$
. There are two examples in numerical simulation results to show the effectiveness and feasibility of our new model.