  The Karlsruhe Tritium Neutrino Experiment (KATRIN) measures the effective
electron anti-neutrino mass with an unprecedented design sensitivity of 0.2 eV
(90 % C.L.). In this experiment, the energy spectrum of beta electrons near the
tritium decay endpoint is analyzed with a highly accurate spectrometer. To
reach the KATRIN sensitivity target, the retarding voltage of this spectrometer
must be stable to the ppm level and well known on various time scales ($\mu s$
up to months), for values around -18.6 kV. A custom-designed high-voltage
regulation system mitigates the impact of interference sources in the absence
of a closed electric shield around the large spectrometer vessel. In this
article, we describe the regulation system and its integration into the KATRIN
setup. Independent monitoring methods demonstrate a stability within 2 ppm,
exceeding KATRIN's specifications.
