Calculation of the Boundaries and Barriers of the Workspace of a Redundant Serial-parallel Robot using the Inverse Kinematics
A. Peidro, O. Reinoso, A. Gil, J.MĒ Marin, L. Paya, Y. Berenguer
13th International Conference on Informatics in Control, Automation and Robotics  (Lisbon, Portugal, 29-31 July 2016)
Ed. Insticc  ISBN:978-989-758-198-4  - Volume 2, pp. 412-420


This paper presents the workspace analysis of a redundant serial-parallel robot. Due to the complexity of therobot, the complex constraints (joint limits and no-interference between the legs of the robot), and the globally serial structure of the robot, a discretization method based on the forward kinematics would be most appropriate to compute the workspace. However, this widely used method can only obtain the external boundaries of the workspace, missing the internal barriers that hinder the motion of the robot, which may exist inside the boundaries. To avoid missing these barriers, we use a discretization method that uses the solution of the inverse kinematic problem of the robot. By studying the feasibility of attaining a desired position and orientation by the different branches of the solution to the inverse kinematics, the proposed discretization method is able to obtain both the external boundaries and the internal barriers of the workspace. Some examples are presented to show the importance of these internal barriers in the motions of the robot inside the workspace.