This paper introduces a novel framework for improving human-to-robot manipulability transfer and tracking in Learning by Demonstration. Our approach addresses key challenges, including manipulability ellipsoid (ME) domain adaptation between different kinematic structures, ME-IK feasibility checks and optimization across trajectories accounting for the robot's redundancy, and introducing a manipulability-aware control strategy. Leveraging a unified quadratic programming control with vector-field inequalities, our method enables robust tracking and optimization of manipulability, accommodating multiple demonstrations and the inherent variability in task execution. Experimental results demonstrate superior performance in precise tracking and force generation compared to traditional methods, highlighting the advantages of incorporating human implicit information for more effective robot control.

This paper introduces a comprehensive user-guided planning framework designed for robots operating in dynamic, human-centered environments – where the ability to execute sequential tasks flexibly and adaptively is paramount. Our planner enables robots to (i) encode object-centric constraints and user preferences via multiple demonstrations, (ii) transfer geometric features and implicit relaxations to novel scenarios while reacting to unforeseen events, and (iii) adapt to changing task conditions in real-time, including the real-time replanning and tracking of moving targets. Our approach relies on C1screw linear interpolation, which generates smooth paths satisfying the underlying geometric constraints that characterize the task. The prescribed path is combined with a hierarchical quadratic programming-based controller which explores the user demonstrations's stochastic variability to relax task constraints while ensuring real-time whole-body collision avoidance. Our framework continuously checks for dynamic changes in task targets, ensuring appropriate planning or control actions, and tending to the prescribed screw path. This comprehensive approach is deployed in different task conditions which are available at https://youtu.be/F0cMr1n1D9k.