Rotating Manipulation of Flower Stick Based on Only Consideration of Kinematic Constraint

Abstract

Motion planning for non-grasp manipulation is a typical kinodynamic problem which is required to solve both kinematic and dynamic constraint. So far, realized non-grasp manipulation is limited due to the difficulty of kinodynamic constrained condition. This paper proposes a non-grasp manipulation method considering only kinematic constraint and realize dynamical manipulation which is hitherto unrealized motion. This work focuses on flower stick juggling and constructs a feedback control strategy for a flower stick juggling task called “propeller” as one of the hitherto unrealized non-grasp manipulations. The propeller motion is modeled by considering combined flower stick and a robotic manipulator. We developed a control strategy that allows stable cyclic rotation of the flower stick in the air and the flower stick propeller motion is realized using an actual robotic system. Finally, we conduct a stability analysis of the generated cyclic motion of the flower stick by using a Poincar\'e map, and the analytical results show that the generated cyclic motion is asymptotically stable.