Kinematic design of redundant robotic manipulators that are optimally fault tolerant
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It is common practice to design a robot's kinematics from the desired properties that are locally specified by a manipulator Jacobian. Conversely, one can determine a manipulator that possesses certain desirable kinematic properties by specifying the required Jacobian. For the case of optimality with respect to fault tolerance, one common definition is that the post-failure Jacobian possesses the largest possible minimum singular value over all possible locked-joint failures. This work considers Jacobians that have been designed to be optimally fault tolerant for 3R and 4R planar manipulators. ...