The arm (2) has multiple limbs e.g. robot hand (7) arranged by joints, where the limbs are arranged to each other. An electronic dataset is provided for causing a mathematical robot model of the robotic arm by a computational program. The electronic dataset is stored in a data carrier (13) of the robotic arm, and the limbs are arranged in the data carrier. The robot model is selected from one of a kinematic model, a dynamics model and/or an absolute-precise model of the robotic arm. The computation program is stored in a control device (9) by the electronic dataset of the robot model. Independent claims are also included for the following: (1) an industrial robot comprising a control device (2) a method for constructing a mathematical robot model of a robotic arm of an industrial robot.
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