Recursive Backstepping Nonlinear Control And Sliding Mode Control Of A Novel Hyperchaotic Finance System

In this paper, the recursive backstepping nonlinear control method is proposed. Based on the Lyapunov theory, the controllers are designed to achieve the new hyperchaotic system globally, asymptotically stabilized at the equilibrium point. Furthermore, a robust control method combining backstepping and sliding mode control techniques is used to control the system to another equilibrium point. Numerical simulation results show that the proposed control schemes are effective.