A system and method of operating a vehicle air conditioning system having an engine driven, fixed capacity refrigerant compressor and a compressor clutch is disclosed. The method may comprises setting a preliminary evaporator air temperature target; charging a cold storage apparatus in the vehicle air conditioning system; determining if the cold storage apparatus has reached a predetermined threshold; if the cold storage apparatus has reached a predetermined threshold, determining a new evaporator air temperature target by: determining a maximum allowable dewpoint evaporator air temperature for maintaining a passenger compartment humidity below a predetermined value; determining a maximum allowable mode evaporator air temperature based on a mode to which the vehicle air conditioning system is set; and setting the evaporator air temperature target to the lower of the dewpoint evaporator air temperature and the mode evaporator air temperature. The compressor clutch is controlled to achieve the evaporator air temperature target.