A stratospheric airship includes a nonrigid balloon equipped with a solar generator arranged on the upper part of the nonrigid balloon intended to be illuminated in flight by the sun, the airship comprising: at least one device for managing the position of the centre of gravity of the airship; at least one device for stabilizing the attitude of the airship; and a module for the coupled control of the devices, configured to control the airship, when the speed of travel of the airship with respect to the surrounding air is below a first threshold (S1) and/or the temperature of the solar generator is above a second threshold (S2), in such a way that it rotates by substantially half a turn about its longitudinal axis (AL), so as to protect the solar generator from illumination by the sun.