This work deals with the passivity based control and with its adaptive version for control of power electronics devices. First, after some theoretical discussions, power electronics converter's spécial properties are issued from gênerai Euler-Lagrange models. One of thèse properties allows a straightforward passivity based control implementation. Next, several converters which take into account a large family of applications are selected and the passivity based control is then tested. For this, several tuning models, from averaged model to generalised averaged one, are used. Finally, some practical results concerning the Static Reactive Power Compensator (STATCOM) control are showed. This way, passivity based control's real implementation rurns to be possible.