The recursive inversion of nonlinear control of a four-dimensional hyperchaotic system

With the expansion of the chaotic application fields, more control method have greater value and significance. In order to better expand the field of chaos control, A four-dimensional nonlinear dynamic system was constructed and its complex dynamic characteristics of chaotic was analysed, including the phase trajectory map, Lyapunov index, Poincaré map and so on, through the analysis of these characteristics proved that the chaotic system is a hyperchaotic system. Then it use the recursive non-linear inverse method to design a linear controller.And then, the hyperchaotic system reaches a steady state by using MATLAB simulation. The result shows that the recursive inversion control method can be very good in the chaos' control, it make the super-chaotic system achieve a steady state. It also demonstrates that there is a big potential application value in the field of chaos control by using the recursive inversion of control method.