A method for controlling a redundant robot arm includes the steps of selecting an application for performing a robotic process on a workpiece with the arm and defining at least one constraint on motion of the arm. Then an instruction set is generated based upon the selected application representing a path for a robot tool attached to the arm by operating the arm in one of a teaching mode and a programmed mode to perform the robotic process on the workpiece and movement of the arm is controlled during the robotic process. A constraint algorithm is generated to maintain a predetermined point on the arm to at least one of be on, be near and avoid a specified constraint in a robot envelope during movement of the arm, and a singularity algorithm is generated to avoid a singularity encountered during the movement of the arm.