1. A robot control system having a robot, a portable operating device that is actuated by a rechargeable secondary battery and used to operate the robot, a robot control device that is capable of wirelessly communicating with the portable operating device and performs automatic operation of the robot based on teaching data input by the portable operating device, and emergency stop means that causes an emergency stop of the robot when wireless communication between the portable operating device and the robot control device is interrupted, the robot control system comprising: charging means for charging the secondary battery by electrically connecting the portable operating device to the robot control device; connection monitoring means for monitoring whether an electric connection between the portable operating device and the robot control device through the charging means is established; and an automatic operation continuing section, wherein if the connection monitoring means detects that the electric connection is not established when the robot is in automatic operation, the automatic operation continuing section ends wireless communication without causing an emergency stop of the robot and continues automatic operation of the robot with the portable operating device disconnected from the robot control system.