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This paper introduces a novel motion retargeting framework, Kilohertz-Safe, that reformulates nonlinear dexterous hand teleoperation as a convex quadratic program in joint differential space. By linearizing heterogeneous constraints and integrating control barrier functions, the framework achieves both high-frequency performance and formal safety guarantees. Experiments on the Wuji Hand platform demonstrate that Kilohertz-Safe outperforms existing methods, achieving 9.05 ms latency and satisfying safety criteria in over 95% of retargeted frames.
Get kilohertz-level dexterous hand teleoperation *with* formal safety guarantees, thanks to a new convex optimization approach.
Dexterous hand teleoperation requires motion re-targeting methods that simultaneously achieve high-frequency real-time performance and enforcement of heterogeneous kinematic and safety constraints. Existing nonlinear optimization-based approaches often incur prohibitive computational cost, limiting their applicability to kilohertz-level control, while learning-based methods typically lack formal safety guarantees. This paper proposes a scalable motion retargeting framework that reformulates the nonlinear retargeting problem into a convex quadratic program in joint differential space. Heterogeneous constraints, including kinematic limits and collision avoidance, are incorporated through systematic linearization, resulting in improved computational efficiency and numerical stability. Control barrier functions are further integrated to provide formal safety guarantees during the retargeting process. The proposed framework is validated through simulations and hardware experiments on the Wuji Hand platform, outperforming state-of-the-art methods such as Dex-Retargeting and GeoRT. The framework achieves high-frequency operation with an average latency of 9.05 ms, while over 95% of retargeted frames satisfy the safety criteria, effectively mitigating self-collision and penetration during complex manipulation tasks.
