Fuzzy modeling and impulsive control of hyperchaotic Lü system

This paper presents a novel approach to hyperchaos control ofhyperchaotic systems based on impulsive control and theTakagi--Sugeno (T--S) fuzzy model. In this study, the hyperchaoticLü system is exactly represented by the T--S fuzzy model and animpulsive control framework is proposed for stabilizing thehyperchaotic Lü system, which is also suitable for classes ofT--S fuzzy hyperchaotic systems, such as the hyperchaoticR?ssler, Chen, Chua systems and so on. Sufficient conditions forachieving stability in impulsive T--S fuzzy hyperchaoticsystems are derived by using Lyapunov stability theory in the formof the linear matrix inequality, and are less conservative incomparison with existing results. Numerical simulations aregiven to demonstrate the effectiveness of the proposed method.