In this paper a control strategy based on Energy Shaping is designed for the nonlinear boost DC-AC converter with no-resistive load. This approach does not need to use any reference signal. A Phase-Locked Loop is added to the control law in order to achieve synchronization between the two parts of the circuit, which is necessary to obtain the desired output voltage. It is also shown that this idea is also valid for synchronization with the network. The resultant control laws are tested by means of simulations.