A method for controlling the wastegate in a internal combustion engine turbocharged by means of a turbocharger; the control method comprises the steps of: determining an objective supercharging pressure (P obj); measuring an actual supercharging pressure; determining a closed loop contribution (WG CL1) of an objective position (WG obj) of a controlling actuator of the wastegate; determining an adaptive contribution (WG A) of the objective position (WG obj) of the controlling actuator of the wastegate; calculating the objective position (WG obj) of the controlling actuator of the wastegate by adding the two said contributions (WG OL, WG CL1); and controlling the controlling actuator of the wastegate, so as to pursue the objective position (WG obj) of the controlling actuator of the wastegate; the control method is characterized in comprising the further steps of: determining, during a design phase, a control law which provides an objective opening of the controlling actuator of the wastegate according to the supercharging pressure; determining an open loop contribution (WG OL) of the objective position (WG obj) of the controlling actuator of the wastegate through the control law and according to the objective supercharging pressure (P obj); and calculating the objective position (WG obj) of the controlling actuator of the wastegate by adding the three said contributions (WG OL, WG CL1, WG A). determining an objective supercharging pressure (P obj); measuring an actual supercharging pressure; determining a closed loop contribution (WG CL1) of an objective position (WG obj) of a controlling actuator of the wastegate; determining an adaptive contribution (WG A) of the objective position (WG obj) of the controlling actuator of the wastegate; calculating the objective position (WG obj) of the controlling actuator of the wastegate by adding the two said contributions (WG OL, WG CL1); and controlling the controlling actuator of the wastegate, so as to pursue the objective position (WG obj) of the controlling actuator of the wastegate; the control method is characterized in comprising the further steps of: determining, during a design phase, a control law which provides an objective opening of the controlling actuator of the wastegate according to the supercharging pressure; determining an open loop contribution (WG OL) of the objective position (WG obj) of the controlling actuator of the wastegate through the control law and according to the objective supercharging pressure (P obj); and calculating the objective position (WG obj) of the controlling actuator of the wastegate by adding the three said contributions (WG OL, WG CL1, WG A). determining, during a design phase, a control law which provides an objective opening of the controlling actuator of the wastegate according to the supercharging pressure; determining an open loop contribution (WG OL) of the objective position (WG obj) of the controlling actuator of the wastegate through the control law and according to the objective supercharging pressure (P obj); and calculating the objective position (WG obj) of the controlling actuator of the wastegate by adding the three said contributions (WG OL, WG CL1, WG A).