New approach to controlling chaos in discrete-time nonlinear autonomous systems is proposed. We stabilize the desired unstable periodic orbit via small control, based on the prediction of the trajectory. The knowledge of the periodic orbit is not required, just its existence. The method is validated for one-dimensional as well as for multidimensional maps. Numerical simulation for logistic, tent, Henon maps demonstrates the effectiveness of the approach. The method is simple, but the main limitation for its use is the lack of noises and disturbances in the system description.