Motion modelling and error compensation of a cable‐driven continuum robot for applications to minimally invasive surgery

The continuum robot is widely used in minimally invasive surgery (MIS) because of its flexibility, dexterity and safety. However, because of the friction in the transmission system, backlash, and shape error from nominal kinematics, the tracking accuracy of the continuum robot is low, which may damage the tissues and organs during surgery. A novel error compensation method is presented to improve control.

[1]  H. G. Howell.  35—The Friction of a Fibre Round a Cylinder and its Dependence upon Cylinder Radius , 1954 .

[2]  Youxian Sun,et al.  Consensus Control of Nonlinear Multiagent Systems With Time-Varying State Constraints , 2017, IEEE Transactions on Cybernetics.

[3]  Kai Xu,et al.  Actuation compensation for flexible surgical snake-like robots with redundant remote actuation , 2006, Proceedings 2006 IEEE International Conference on Robotics and Automation, 2006. ICRA 2006..

[4]  Wenjun Xu,et al.  Motion compensated controller for a tendon‐sheath‐driven flexible endoscopic robot , 2017, The international journal of medical robotics + computer assisted surgery : MRCAS.

[6]  Lippincott Williams Wilkins,et al.  Grossman’s Cardiac Catheterization, Angiography, and Intervention, 6th ed , 2001 .

[7]  Nabil Simaan,et al.  Configuration and joint feedback for enhanced performance of multi-segment continuum robots , 2011, 2011 IEEE International Conference on Robotics and Automation.

[8]  Kai Xu,et al.  Design, modeling and analysis of continuum robots as surgical assistants with intrinsic sensory capabilities , 2009 .

[9]  Rajarshi Roy,et al.  Modeling and Estimation of Friction, Extension, and Coupling Effects in Multisegment Continuum Robots , 2017, IEEE/ASME Transactions on Mechatronics.

[10]  Pinhas Ben-Tzvi,et al.  Continuum Robot Dynamics Utilizing the Principle of Virtual Power , 2014, IEEE Transactions on Robotics.

[11]  H. G. Howell.  24—THE GENERAL CASE OF FRICTION OF A STRING ROUND A CYLINDER , 1953 .

[12]  Bin Yao,et al.  Control of cable actuated devices using smooth backlash inverse , 2010, 2010 IEEE International Conference on Robotics and Automation.

[13]  Peter Kazanzides,et al.  Design and Integration of a Telerobotic System for Minimally Invasive Surgery of the Throat , 2009, Int. J. Robotics Res..

[14]  Paolo Dario,et al.  Tendon sheath analysis for estimation of distal end force and elongation , 2009, 2009 IEEE/ASME International Conference on Advanced Intelligent Mechatronics.

[15]  Liping Wang,et al.  An improved Capstan equation including power-law friction and bending rigidity for high performance yarn , 2015 .

[16]  Ian D. Walker,et al.  Analysis and experiments with an elephant's trunk robot , 2001, Adv. Robotics.

[17]  Robert D. Howe,et al.  Position Control of Motion Compensation Cardiac Catheters , 2011, IEEE Transactions on Robotics.

[18]  Han Yuan,et al.  Workspace analysis of cable-driven continuum manipulators based on static model , 2018 .

[19]  R. S. Rengasamy,et al.  A study on dynamic friction of different spun yarns , 2008 .

[20]  John M. Hollerbach,et al.  An investigation of the transmission system of a tendon driven robot hand , 1994, Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS'94).

[21]  Youxian Sun,et al.  Distributed Control of Nonlinear Multiagent Systems With Asymptotic Consensus , 2017, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[22]  Robert J. Webster,et al.  Design and Kinematic Modeling of Constant Curvature Continuum Robots: A Review , 2010, Int. J. Robotics Res..

[23]  Renfeng Xue,et al.  A cable-pulley system modeling based position compensation control for a laparoscope surgical robot , 2017 .