A fuel cell system for a vehicle includes a fuel cell arrangement that is coupleable to a vehicle drive as a primary load, and to a plurality of secondary loads. A control apparatus which controls the primary load and the secondary loads includes a monitoring circuit that is operable in a special operating mode of the fuel cell system, with the secondary loads being switched on and/or off as a manipulated variable in order to maintain the output voltage, as a reference variable, at a low voltage value that is formed by a cell voltage of the fuel cells of less than 0.45 V on average.