A control system for a refrigeration system with dual evaporators is provided. In one embodiment, a control system for a dual evaporator refrigeration system is provided where the evaporators are operated simultaneously to provide for improved temperature and humidity control in a refrigerator appliance. In another embodiment, the control system can also use a linear model that is designed to minimize or remove excess enthalpy from one or more compartments and/or features of the appliance. The control system can also be configured with at least one variable speed compressor that is operated at a speed that will remove excess enthalpy within a desired time period while also operating at an optimized speed for energy efficiency.