Controlling the motion of robot manipulators on constrained surfaces

We present a methodology to steer the end effector of a robotic manipulator, which is constrained in terms of joint rates, on the surface within the workspace, to perform surface tasks. We develop smooth controllers for stabilizing the end effector to a point, and for tracking a trajectory on this surface, while respecting the input constraints, and the same time applying a specific force on it. We show that the resulting closed loop system is uniformly asymptotically stable and we verify our analytical development with computer simulations.

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