3D Optimal Control Using an Intraoperative Motion Planner for a Curvature-Controllable Steerable Bevel-Tip Needle

Robotic needle steering has become a topic of interest in intervention surgery. Yet, this surgical procedure poses challenges due to external disturbances and tissue movement. To address these challenges, several novel steering algorithms have been developed to guide the needle precisely from the entry point to the target point. However, some of these algorithms may cause additional trauma to patients. In this paper, we present a 3D optimal control algorithm for a curvature-controllable steerable (CCS) needle, aiming to achieve effective operations with minimal trauma. We derive a kinematics without duty cycle control strategy (needle shaft spin), propose a novel intraoperative motion planner for path replanning, and design a full-state feedback controller for accurate path tracking. A dynamic environment was simulated, and the optimal controller showed a better result (0.01 ± 0.01 mm) than the case (3.86 ± 1.32 mm) using a full-state feedback controller. The demonstration indicates that the optimal control system can safely, effectively, and accurately steer the needle to the target point in a dynamic environment.