The method of controlling a pulley of a transmission system for a vehicle comprising an internal combustion engine and at least one electric engine/generator, each comprising a respective pulley configured to cooperate with an endless transmission element to transmit torque between the said internal combustion engine and at least one electric engine/generator, at least said pulley of said internal combustion engine comprising a hub configured to be fixed to a shaft rotating around an axis, a crown mounted coaxial and rotationally free on said hub, a plurality of elastic groups arranged circumferentially with respect to said hub and said crown and interposed, each, between a pair of first elements integral to said hub and between a pair of second elements integral to said crown, said first elements including at least two spokes, carried by an actuator, said actuator including a coupling portion carried by said hub and an actuator portion defining said spokes carried by said crown, said pulley including coupling means configured to allow a selective coupling of said coupling portions and actuator portion to define a first configuration in which they cooperate so that said crown is operationally connected to said hub and a second configuration in which they are operationally separated so that said crown is operationally disconnected from said hub,
- in which said endless element is not in motion to transfer torque between said elements of said system, said method comprising the steps of:
- receiving a request to decouple said crown to said hub;
- checking said motor-generator to provide an oscillating torque value in a predetermined torque range;
- checking said actuating means to decouple or couple said crown to said hub while said motor-generator provides said oscillating torque value.