I. Introduction
Robotic manipulators have played an important role in engineering applications, such as master-slave teleoperation systems [1], construction automation [2], space engineering [3], to name a few. When the human is restricted by the physical limitation or when operating in a harsh environment is required, the robot manipulators can handle strenuous and dangerous work that is difficult or impossible for human operators. However, robot manipulators cannot completely replace the human because of robots' lack of high-level of learning and inference ability. Therefore, the interaction between the human and the robot could take the best of human and robot capabilities. Successful applications of human-robot interaction (HRI) system designs include physiotherapy [4], human amplifier [5], assistive haptic device [6]. In this paper, we employ the two-level design framework [7] for the HRI systems with novel outer-loop and inner-loop designs to obviate the requirement of velocity measurement and the complete knowledge of system dynamics.