Fuzzy model of hyperchaotic laser systems with parameters perturbation

This paper investigates a problem of universal approximation and modeling, which is used for the Takagi-Sugeno fuzzy model of hyperchaotic laser systems with parameters perturbation. Firstly, hyperchaos dynamics in laser system with parameters perturbation is analyzed. Then, based on the typical modeling principle of Takagi-Sugeno (T-S) fuzzy systems, the universal approximation of laser hyperchaos Takagi-Sugeno fuzzy systems is studied. To achieve a T-S fuzzy model of hyperchaotic laser system, the key variables of nonlinearity, fuzzy membership function and fuzzy rules are identified according to the dynamics of hyperchaotic systems. Finally, the simulation results show that the proposed model can effectively approximate the hyperchaotic laser system with parameters perturbation.