This paper proposes a robust control strategy for a High Voltage Direct Current (HVDC), in order to improve the dynamic behavior performance under a wide range of operating conditions, parameters uncertainties, input and state constraints. It proposes first to model the HVDC and investigates the robust control based on Model Recovery Anti-windup (MRAW) 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 robust stabilization, in the sense of Lyapunov method. First, a robust controller is designed to show a desirable nominal performance by ignoring states and control inputs constraints. Next, an additional compensator is designed to mitigate the adverse effects due to state and the control constraints. The proposed strategy validations are performed using a MATLAB/Simulink software.