Stabilization mechanisms may include at least one gripper mounted to a powerline-crawling robot, which may be configured to grasp a powerline supporting the powerline-crawling robot. At least one controller may be configured to control a lateral position of the at least one gripper. At least one inertial measurement unit may be configured to sense at least one of lateral movement and axial rotation of the powerline-crawling robot. The controller may control the lateral position of the gripper based on data from the inertial measurement unit. Various other related systems, devices, mechanisms, and methods are also disclosed.