Periodic Steady-State Control of a Handkerchief-Spinning Task Using a Parallel Anti-Parallelogram Tendon-driven Wrist
Lei Liu, Haonan Zhang, Huahang Xu, Zefan Zhang, Lulu Chang, Lei Lv, Andrew Ross McIntosh, Kai Sun, Zhenshan Bing, Jiahong Dong, Fuchun Sun

TL;DR
This paper presents a novel tendon-driven wrist design and control framework for precise, steady-state spinning of flexible objects like handkerchiefs, validated through hardware experiments achieving high accuracy and robustness.
Contribution
It introduces a new dexterous wrist structure and a control strategy for stable, high-dynamic manipulation of flexible objects, validated by experimental results.
Findings
Achieved approximately 99% unfolding ratio in experiments.
Fingertip tracking error of RMSE = 2.88 mm during high-speed spinning.
Validated the effectiveness of the control framework with hardware experiments.
Abstract
Spinning flexible objects, exemplified by traditional Chinese handkerchief performances, demands periodic steady-state motions under nonlinear dynamics with frictional contacts and boundary constraints. To address these challenges, we first design an intuitive dexterous wrist based on a parallel anti-parallelogram tendon-driven structure, which achieves 90 degrees omnidirectional rotation with low inertia and decoupled roll-pitch sensing, and implement a high-low level hierarchical control scheme. We then develop a particle-spring model of the handkerchief for control-oriented abstraction and strategy evaluation. Hardware experiments validate this framework, achieving an unfolding ratio of approximately 99% and fingertip tracking error of RMSE = 2.88 mm in high-dynamic spinning. These results demonstrate that integrating control-oriented modeling with a task-tailored dexterous wrist…
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