Abstract: A chaotic system with exponential term has been proposed,which possesses two parameters.The basic characteristics of the system,such as symmetry,dissipativity,and stability of the equilibrium point have been analyzed in theory.The simulation study has been carried out by the dynamics tools of phase portrait,Lyapunov exponent spectrum and bifurcation diagram.The results show that the system can maintain robust chaotic state with constant Lyapunov exponent spectrum to one of the parameters,and the characteristic of position shift control has been revealed based on theoretical demonstration.As for another parameter,the system can keep robust chaotic state except for individual windows.Finally,with discretization via fourth-order Runge-Kutta algorithm,corresponding experimental verification of the system has been accomplished by microcontroller,and the experimental results have been obtained,which are in agreement with the simulation results.