Takagi-Sugeno fuzzy-model-based control of hyperchaotic Chen system with norm-bounded uncertainties

Abstract

In this paper, control of hyperchaotic Chen system is investigated under the existence of norm-bounded parameter uncertainties. A Takagi-Sugeno fuzzy model is employed to represent the hyperchaotic Chen system and the parallel distributed compensation technique is applied to design the time-delayed fuzzy state feedback controller. Based on Lyapunov stability theory, a sufficient delay-dependent or delay-independent stability criterion is given in term of linear matrix inequalities (LMIs) to guarantee the stability of the closed-loop system. The two sets of feedback gain matrices can be simultaneously obtained by solving a group of LMIs. Numerical simulation results demonstrate the effectiveness of the proposed method.