Generalization on the chaos control of 4-D chaotic systems using recursive backstepping nonlinear controller

Abstract

Using recursive backstepping nonlinear technique generalized controllers are designed for chaos control of two 4-D chaotic systems, namely: the Lorenz–Stenflo (LS) system that models low-frequency short-wavelength gravity waves and a new 4-D chaotic system containing three cross products that was recently introduced by Qi et al. Using numerical simulation the designed controllers are shown to be effective in stabilizing the two systems at the origin as well as controlling them to track desired trajectories.