Abstract: Due to ergotic property of orbits in the chaotic attractors, a optimal control is introduced to direct an orbit of the discrete-time chaotic dynamical system towards a pre-specified neighbourhood of the target, while an additional feedback correction to encounter noise. After entering the neighbourhood in which the local controller is effective, a controller made from the method of the discrete LQR Method is used to quickly stabilize the orbit in the system. By the numerical simulation of controlling a typical chaotic dynamical system-Hénon Map, the method recommended in the article is proved simple and effective so that the controlled system perform strong robustness.