Feedback control methods for stabilizing unstable equilibrium points in a new chaotic system

This paper studies the stabilization of unstable equilibrium points in a new chaotic system. Three different methods, the dislocated feedback control method, the enhancing feedback control method and the speed feedback control method, are used to stabilize unstable equilibrium points in the new chaotic system. On the basis of the Routh–Hurwitz theorem and the linearization model of a system at the adjacent equilibrium point, the conditions of stabilization are discussed, and they are also proved theoretically. Numerical simulations show the effectiveness of the three different methods.