Practical stabilization of receding-horizon control

The purpose of this work is to propose a scheme to stabilize the predictive control systems in the practical stability sense. In the paper, the authors dealt with a general discrete predictive control system x(j+1 \t) = f(x(j \t),up(j \t)) by using the Lyapunov direct method combining with receding-horizon control technique, and presented a new condition to guarantee the practical stabilization of the systems, With the proposed results, one can design the optimal controllers easily to practically stabilize the predictive control systems.