Hybrid transmission with offset electric machine and method for controlling gear changes

A method for controlling gear changes on a hybrid transmission for a motor vehicle including an internal combustion engine, a first electric machine using three-position coupling devices, two concentric primary shafts including a solid primary shaft and a hollow primary shaft and connected to a crankshaft of the internal combustion engine and to the first electric machine without a disconnect clutch, a secondary shaft connected to wheels of the vehicle by a differential, and a transfer shaft configured to transfer motion from at least one of the solid primary shafts to the secondary shaft and couple the primary shafts, the first electric machine being located at an opposite end of the primary shafts relative to the internal combustion engine, and the three-position coupling device including a three-position coupling device of the solid primary shaft, a three-position coupling device of the secondary shaft, and a three-position coupling device of the transfer shaft, the method comprising:

• controlling the three-position coupling devices by a three-position electric gear shift group and by a five-position combustion engine gear shift functional group.