Asymptotic suppression of a class of discrete-time hyperchaotic systems based on fuzzy control method

The chaotic suppression problem for a class of typical discrete-time hyperchaotic systems is investigated in this paper. A T-S fuzzy model-based control method is employed to eliminate hyperchaos in the considered discrete-time system. Firstly, the T-S fuzzy representation for the discrete-time hyperchaotic system is presented. Then, a state feedback controller is designed based on the parallel distributed compensation technique. According to the linear matrix inequality method and exact linearization technique, two kinds of approaches are given to solve the controller gain matrices. Finally, the validity of the proposed chaotic suppression method is illustrated by a numerical example.