Controllability Analysis and Stable Control for Planar Non-One Passive Joint Underactuated Robot with Bi-Directional Approach

In this paper, we consider the controllability and stability control problem for planar underactuated robots with non-one passive joints. The dynamic constraints of the robot are mainly caused by nonholonomic constraints. Firstly, we establish the dynamic model of this system and analyze its controllability. Then, based on location and number of passive joints, we divide the system into different configurations. Next, we propose a stable control method based on bi-directional approach to achieve the stable control of different systems. At last, the numerical simulation conclusion illuminate the feasibility of this method.