Using sampled-data feedback control and linear feedback synchronization in a new hyperchaotic system

This paper investigates control and synchronization of a new hyperchaotic system which was proposed by [Chen A, Lu J-A, Lü J, Yu S. Generating hyperchaotic Lü attractor via state feedback control. Physica A 2006;364:103–10]. Firstly, we give different sampled-data feedback control schemes with the variation of system parameter d. Specifically, we only use one controller to drive the system to the origin when d ∈ (−0.35, 0), and use two controllers if d ∈ [0, 1.3]. Next, we combine PC method with linear feedback approach to realize synchronization, and derive similar conclusions with varying d. Numerical simulations are also given to validate the proposed approaches.