Kernelized Movement Primitives

Imitation learning has been studied widely due to its convenient transfer of human experiences to robots. This learning approach models human demonstrations by extracting relevant motion patterns as well as adaptation to different situations. In order to address unpredicted situations such as obstacles and external perturbations, motor skills adaptation is crucial and non-trivial, particularly in dynamic or unstructured environments. In this paper, we propose to tackle this problem using a novel kernelized movement primitive (KMP) adaptation, which not only allows the robot to adapt its motor skills and meet a variety of additional task constraints arising over the course of the task, but also renders fewer open parameters unlike methods built on basis functions. Moreover, we extend our approach by introducing the concept of local frames, which represent coordinate systems of interest for tasks and could be modulated in accordance with external task parameters, endowing KMP with reliable extrapolation abilities in a broader domain. Several examples of trajectory modulations and extrapolations verify the effectiveness of our method.