Fuzzy control for hyperchaotic systems via nonuniform sampling approach

In this paper, the stabilization problem for the hyperchaotic Chen system is investigated via nonuniform sampling approach. First, the hyperchaotic Chen system is represented by the Takagi-Sugeno (T-S) fuzzy model via the sector nonlinearity approach. Second, utilizing the descriptor model transformation and the input delay approach, an equivalent continuous-time generalized form is obtained and sufficient conditions for the existence of state feedback controller are derived in terms of linear matrix inequities (LMIs), which guarantee the asymptotic stability for the controlled closed-loop system. Lastly, simulation results are given to show the validity of the present scheme.