This paper proposes a Model Predictive Control (MPC) for a High Voltage Direct Current (HVDC) inserted in an AC network, in order to improve the dynamic behavior performance under input and state non symmetrical constraints. It proposes to model the HVDC and investigates the MPC to improve regional performance and stability of HVDC systems with saturating actuators. More precisely, in this paper sufficient conditions based on Linear Matrix Inequalities (LMIs) are derived for stabilization, in the sense of the Lyapunov method. First, a MPC is designed to mitigate the adverse effects due to the state and control non symmetrical constraints. The proposed strategy is then compared with Linear Quadratic (LQ) control to show the effectiveness of the strategy and validations are performed using a MATLAB/Simulink software.