1. A robot control system comprising: a force control unit configured to output a correction value of a target track of a robot on the basis of sensor information acquired from a force sensor; a target-value output unit configured to apply correction processing based on the correction value to the target track to calculate a target value and output the calculated target value; and a robot control unit configured to perform feedback control of the robot on the basis of the target value, wherein the force control unit includes a digital filter unit, the force control unit applies digital filter processing by the digital filter unit to the sensor information to calculate a solution of an ordinary differential equation in force control and outputs the correction value on the basis of the calculated solution.