A New Probabilistic Method for the Performance Evaluation of Manipulators: Part II — Application to Task Placement
Abstract A probabilistic method for optimal placement of a prescribed task space in the workspace of a robotic manipulator is presented. Velocity and force transmission (alone and in combination) are used as optimality criteria. Complex task space and manipulator workspace geometries are readily handled. The distribution of the tasks within the task space, and the velocity and force transmission requirements may assume any arbitrary form. The method is extremely simple, does not require inverse calculations, is numerical in nature, and is readily implemented on computers. In many cases, the best location of the task space within the manipulator workspace can be visually ascertained. Minimal analytical formulations are required. Several examples are presented.