A feeding system for feeding animals, in particular cows, comprises a feed supply system with feed for the animals. The feed comprises one or more feed types. An autonomous feeding device is configured to automatically feed the animals with feed from the feed supply system. A feed supply observation system measures the quantity of feed of each feed type in the feed supply system, while a feed consumption observation system observes the consumption of feed of each feed type from the feed supply system. A control system is connected to the feed supply observation system in order to receive values of the observed quantity of feed of each feed type in the feed supply system. The control system is further connected to the feed consumption observation system in order to receive values of the observed consumption of feed of each feed type from the feed supply system. Said received values of the observed consumption of feed are stored as historical data in a memory of the control system. The control system is configured to predict the future consumption of feed of each feed type from the feed supply system on the basis of the historical data. The control system is further configured to determine for each feed type of the feed supply system, on the basis of the values of the observed quantity of feed of said feed type in the feed supply system and the predicted future consumption of feed of said feed type from the feed supply system, an expected period of time until the feed of said feed type in the feed supply system runs low.L'invention concerne un système d'alimentation pour alimenter des animaux, en particulier des vaches, comprenant un système d'alimentation en nourriture avec aliments pour les animaux. La nourriture comprend un ou plusieurs type(s) d'aliments. Un dispositif d'alimentation autonome est configuré pour alimenter automatiquement les animaux en aliments provenant du système d'alimentation en nourriture. Un système d'observation d'alimentation mesure la quan