Robust fuzzy synchronization control for a class of hyperchaotic systems with parametric uncertainties

Abstract

In this paper, the robust synchronization of two identical Lu hyperchaotic systems with parametric uncertainties is investigated. The Lu hyperchaotic systems are represented by the T-S fuzzy models with a small number of fuzzy IF-THEN rules exactly. Then, based on the T-S fuzzy Lu hyperchaotic systems, a fuzzy controllers are designed via parallel distributed compensation (PDC) and exact linearization (EL) techniques to synchronize Lu hyperchaotic systems with uncertain parameters. The interval matrix theory is employed to deal with the parametric uncertainties. By applying Lyapunov stability theory, the sufficient conditions for the robust synchronization of two identical Lu hyperchaotic systems with uncertain parameters is derived. The validity of the proposed hyperchaotic synchronization scheme is demonstrated by the simulation results.