Controlled adaptive device for a coupling between an engine and a gearbox in a motor vehicle, this device comprising a clutch, an actuator for controlling the clutch and means for controlling the actuator, characterised in that it is divided into a plurality of control modules which are intended to compensate in a cascading manner for the dispersions of the various components of the transmission of the vehicle and which comprise: - a module for supervising the transmission, using strategies for controlling the driving comfort which control the clutch in terms of torque and/or the engine of the vehicle in terms of speed and/or in terms of torque and which are intended to compensate for the variability of the dynamic behaviour of the engine, the gearbox and the remainder of the vehicle, - a module for controlling the clutch in terms of torque, which determines a reference value of a physical control variable for the clutch in order to obtain a desired transmissible torque in the clutch in accordance with a reference of torque to be transmitted, supplied by the module for supervising the transmission and various signals of physical variables, state or control which are measured on the engine, on the gearbox and on the remainder of the vehicle, - and a module for controlling the actuator of the clutch, which controls the actuator in order to obtain a physical control variable of the clutch in accordance with a reference provided by the module for controlling the clutch in terms of torque and various signals of physical variables, state or control which are measured on the engine, on the gearbox and on the remainder of the vehicle, - the module for controlling the clutch in terms of torque comprises a control circuit which receives the reference signal of the torque which can be transmitted by the clutch and a measurement or an estimation of the torque which is actually transmitted by the clutch and which generates a deviation signal which is applied to a correction circuit, and the device comprises in parallel with the control circuit an open-loop shaping circuit which receives the reference signal for torque which can be transmitted, this shaping circuit comprising scaling means, for example, for a standardisation of the reference signal for torque which can be transmitted compared with a maximum engine torque and optionally a numerical filter for the amplification or the reduction of some frequencies and the adaptation of the control in terms of torque to a coupling/decoupling strategy of the engine and the gearbox. - a module for supervising the transmission, using strategies for controlling the driving comfort which control the clutch in terms of torque and/or the engine of the vehicle in terms of speed and/or in terms of torque and which are intended to compensate for the variability of the dynamic behaviour of the engine, the gearbox and the remainder of the vehicle, - a module for controlling the clutch in terms of torque, which determines a reference value of a physical control variable for the clutch in order to obtain a desired transmissible torque in the clutch in accordance with a reference of torque to be transmitted, supplied by the module for supervising the transmission and various signals of physical variables, state or control which are measured on the engine, on the gearbox and on the remainder of the vehicle, - and a module for controlling the actuator of the clutch, which controls the actuator in order to obtain a physical control variable of the clutch in accordance with a reference provided by the module for controlling the clutch in terms of torque and various signals of physical variables, state or control which are measured on the engine, on the gearbox and on the remainder of the vehicle, - the module for controlling the clutch in terms of torque comprises a control circuit which receives the reference signal of the torque which can be transmitted by the clutch and a measurement or an estimation of the torque which is actually transmitted by the clutch and which generates a deviation signal which is applied to a correction circuit, and