Journal of Robotic Systems · 1991 · 48 citations · 14 references
EngineeringMechanical EngineeringRobotics EngineeringMotion PlanningRobot KinematicsRoboticsKinematic ConstraintsKinematicsRedundancy ResolutionRobot ManipulationRobot ManipulatorsRobot Motion PlanningJoint Limit AvoidanceKinematic Redundancy ResolutionLocal OptimizationManipulability AnalysisManipulability MeasuresTrajectory PlanningUnderconstrained SystemsWorkspace Singularity
Abstract A review of local optimization methods for resolving joint configurations in underconstrained manipulation tasks is conducted. A new approach is developed for observing joint limits and avoiding obstacles during the trajectory planning. The methodology is used in a four‐link arm example to avoid a workspace singularity and is compared with results using the extended Moore‐Penrose technique. An alternative measure of arm “manipulability” based directly on the rank of the Jacobian is also introduced.
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Optimization by Vector Space Methods
Students Quarterly Journal · 1970 · 6.1K citations
Natural Sciences, Industrial Engineering, Design Optimization +6