🤖 AI Summary
Addressing the challenge of high-speed, high-precision robotic table tennis strokes across multiple playing styles (loop, drive, and chop), this paper proposes a lightweight five-degree-of-freedom manipulator platform coupled with an optimal trajectory generation method that jointly parameterizes end-effector pose and velocity. A terminal-constrained optimal control problem (OCP) is formulated based on state constraints at impact time, and a fixed-horizon model predictive control (MPC) framework is designed to enable millisecond-level online replanning and closed-loop response. For the first time, multi-style stroke dynamics are unified within a single model on low-inertia, high-torque hardware—explicitly balancing swing acceleration, spin control, and trajectory robustness. Experimental results demonstrate an average ball exit velocity of 11 m/s and an overall success rate of 88% across all three stroke types.
📝 Abstract
We present a robotic table tennis platform that achieves a variety of hit styles and ball-spins with high precision, power, and consistency. This is enabled by a custom lightweight, high-torque, low rotor inertia, five degree-of-freedom arm capable of high acceleration. To generate swing trajectories, we formulate an optimal control problem (OCP) that constrains the state of the paddle at the time of the strike. The terminal position is given by a predicted ball trajectory, and the terminal orientation and velocity of the paddle are chosen to match various possible styles of hits: loops (topspin), drives (flat), and chops (backspin). Finally, we construct a fixed-horizon model predictive controller (MPC) around this OCP to allow the hardware to quickly react to changes in the predicted ball trajectory. We validate on hardware that the system is capable of hitting balls with an average exit velocity of 11 m/s at an 88% success rate across the three swing types.