2002 · 14 citations · 5 references
EngineeringMechanical EngineeringRobotics EngineeringRobot DynamicsRobot KinematicsRoboticsInverse KinematicsManipulator DesignRedundancy ResolutionRobot Configuration SpaceRobot ManipulatorsSingularity AnalysisConfiguration Space SingularityKinematic SingularityRedundant Robot Configuration SpaceSelf-motion AnalysisSingular Configuration ClassificationSingularities
The goal of this paper is to study the behavior of general redundant manipulators near singular configurations, and investigate the escapability of redundant manipulators at a singularity. Escapability means that the manipulator can actually reconfigure itself from a singular posture to a nonsingular posture via self-motion. Criteria for the classifications of escapable and inescapable singularities are established. Examples are given to demonstrate the use of these criteria.
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Catastrophe Theory and Its Applications
Timothy Poston, Ian Stewart, Raymond H. Plaut · Journal of Applied Mechanics · 1979 · 2.1K citations · Full text
Linear algebra and its applications
Mathematics and Computers in Simulation · 1989 · 2K citations