Control system for work machine, work machine, and management system for work machine

A control system for a work machine, comprising:

• a position detecting device that detects a position of a work machine that runs on a running path;
• a non-contact sensor that detects, in a non-contact manner, an object at a side of the running path on which the work machine runs;
• a map data generating unit that generates map data that indicates a map of a work site based on detection data from the position detecting device and detection data from the non-contact sensor;
• a first storage unit that stores past map data generated in the map data generating unit based on the detection data from the position detecting device and the detection data from the non-contact sensor acquired in a predetermined period in a past;
• a second storage unit that stores current map data generated in the map data generating unit based on the detection data from the position detecting device and the detection data from the non-contact sensor;
• an integrated map data calculation unit that calculates integrated map data by integrating the past map data stored in the first storage unit and the current map data stored in the second storage unit;
• and
• a position calculation unit that by matching the integrated map data calculated by the integrated map data calculation unit and the detection data from the non-contact sensor, calculates the position of the work machine.