A control system for a fuel cell stack that controls the relative humidity of the cathode outlet gas during stack power transients to provide better cathode outlet gas relative humidity control by reducing the dynamic pressure range and thus the dynamic cathode outlet gas relative humidity range. In one embodiment, the control system uses a first narrower cathode pressure range based on stack current density during stack power transients to provide better cathode outlet gas relative humidity control, and uses a second wider cathode pressure range based on stack current density during low current density and steady-state current density to improve system efficiency by decreasing compressor parasitics.