A control device for an air-conditioning system of a vehicle comprises an evaporator, a compressor with externally controlled variable displacement, and an expansion valve. The control device comprises a control block that receives a reference temperature indicating a desired temperature of the air downstream of the evaporator, and an effective temperature of the air present downstream of the evaporator. The control device-supplies a control signal for the compressor to bring the effective temperature substantially equal to the reference temperature. An observer module receives the control signal and supplies a temperature disturbance indicating an estimate of the oscillatory effect generated by an expansion valve on the temperature of air downstream of the evaporator when a compressor is driven by the control signal. An adder block removes from the effective temperature the temperature disturbance so as to eliminate the oscillatory effect on the effective temperature downstream of the evaporator.