Chaos Control of 4-D Chaotic Systems using Recursive Backstepping Nonlinear Controller

This paper examines chaos control of two four dimensional chaotic systems namely: the Lorenz-Stenflo (LS) system that models low-frequency short-wavelength gravity waves and a new four-dimensional chaotic system (Qi systems), containing three cross products. The control analysis is based on recursive backstepping design technique and it is shown to be effective for the 4-D systems considered. Numerical simulations are also presented. PACS: 05.45.Pq; 05.45.Gg; 05.45.Ac Keywords: Chaos control; Lorenz-Stenflo System; Qi System; Backstepping design