Microscale Precision Control of a Computer-Assisted Transoral Laser Microsurgery System

In a recent advance in surgery, a computer-assisted laser microsurgery system has demonstrated its suitability for transoral operations. Thanks to its motorized micromanipulator setup, surgeons can perform delicate operations on lesions in the larynx using an intuitive user interface. The major hurdle to ensure surgical quality is to guarantee <inline-formula><tex-math notation="LaTeX">$\mu$</tex-math></inline-formula>m-scale precision in the control of the laser beam (spot diameter 110–250 <inline-formula><tex-math notation="LaTeX">$\mu$</tex-math></inline-formula>m), because the mechanism includes inherent discontinuous nonlinearities such as Coulomb friction and stiction and unavoidable modeling uncertainties. To this end, in this article, a precise position controller directly creating a voltage command is newly proposed by amalgamating two robust control concepts—a generalized super-twisting algorithm (GSTA) and a model-free compensation method called time-delay estimation (TDE). Fast convergence in finite time is proved in the Lyapunov sense. The experimental results verify that the proposed controller can satisfy the precision requirement of 55 <inline-formula><tex-math notation="LaTeX">$\mu$</tex-math></inline-formula>m, while the efficacy is validated by comparisons with respective GSTA- and TDE-based controllers. As a practical performance–safety guideline for users, we benchmark the tracking precision of the proposed controller with respect to operation speeds.

[1]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[2]  Joseph Francis Giallo A Medical Robotic System for Laser Phonomicrosurgery , 2008 .

[3]  Chih-Hung Chang,et al.  Precision Motion Control of Permanent Magnet Linear Synchronous Motors Using Adaptive Fuzzy Fractional-Order Sliding-Mode Control , 2019, IEEE/ASME Transactions on Mechatronics.

[4]  M. Hirano Morphological structure of the vocal cord as a vibrator and its variations. , 1974, Folia phoniatrica.

[5]  Leonid M. Fridman,et al.  Analysis of chattering in continuous sliding-mode controllers , 2005, IEEE Transactions on Automatic Control.

[6]  Nikhil Deshpande,et al.  A novel computerized surgeon–machine interface for robot‐assisted laser phonomicrosurgery , 2014, The Laryngoscope.

[7]  C.-K. Lin,et al.  Nonsingular Terminal Sliding Mode Control of Robot Manipulators Using Fuzzy Wavelet Networks , 2006, IEEE Transactions on Fuzzy Systems.

[8]  Cheng Siong Chin,et al.  Robust Genetic Algorithm and Fuzzy Inference Mechanism Embedded in a Sliding-Mode Controller for an Uncertain Underwater Robot , 2018, IEEE/ASME Transactions on Mechatronics.

[9]  Kamal Youcef-Toumi,et al.  A Time Delay Controller for Systems with Unknown Dynamics , 1988, 1988 American Control Conference.

[10]  Christopher G. Atkeson,et al.  Experimental evaluation of feedforward and computed torque control , 1987, IEEE Trans. Robotics Autom..

[11]  Leonid M. Fridman,et al.  Super-Twisting Algorithm in presence of time and state dependent perturbations , 2018, Int. J. Control.

[12]  J. Jacko,et al.  The human-computer interaction handbook: fundamentals, evolving technologies and emerging applications , 2002 .

[13]  Jinoh Lee,et al.  An experimental study on time delay control of actuation system of tilt rotor unmanned aerial vehicle , 2012 .

[14]  M. Strong,et al.  Laser Surgery in the Larynx Early Clinical Experience with Continuous Co2 Laser , 1972, The Annals of otology, rhinology, and laryngology.

[15]  Pyung Hun Chang,et al.  On improving time-delay control under certain hard nonlinearities , 2003 .

[16]  Maolin Jin,et al.  Robust Control of Robot Manipulators Using Inclusive and Enhanced Time Delay Control , 2017, IEEE/ASME Transactions on Mechatronics.

[17]  Maolin Jin,et al.  Continuous Nonsingular Terminal Sliding-Mode Control of Shape Memory Alloy Actuators Using Time Delay Estimation , 2015, IEEE/ASME Transactions on Mechatronics.

[18]  A. Levant Sliding order and sliding accuracy in sliding mode control , 1993 .

[19]  Darwin G. Caldwell,et al.  Design and Study of a Next-Generation Computer-Assisted System for Transoral Laser Microsurgery , 2018, OTO open.

[20]  Leonid M. Fridman,et al.  Design of super-twisting control gains: A describing function based methodology , 2019, Autom..

[21]  Darwin G. Caldwell,et al.  New motorized micromanipulator for robot-assisted laser phonomicrosurgery , 2015, 2015 IEEE International Conference on Robotics and Automation (ICRA).

[22]  Denham L. Phipps The human–computer interaction handbook: fundamentals, evolving technologies and emerging applications (3rd ed) , 2013 .

[23]  Yoshiki Uchikawa,et al.  A neural network compensator for uncertainties of robotics manipulators , 1992, IEEE Trans. Ind. Electron..

[24]  Jinoh Lee,et al.  A New Continuous-Time Stability Perspective of Time-Delay Control: Introducing a State-Dependent Upper Bound Structure , 2019, IEEE Control Systems Letters.

[25]  M. Strome,et al.  Transoral Robot‐Assisted CO2 Laser Supraglottic Laryngectomy: Experimental and Clinical Data , 2007, The Laryngoscope.

[26]  Alexander S. Poznyak,et al.  Reaching Time Estimation for “Super-Twisting” Second Order Sliding Mode Controller via Lyapunov Function Designing , 2009, IEEE Transactions on Automatic Control.

[27]  Hwee Choo Liaw,et al.  Neural Network Motion Tracking Control of Piezo-Actuated Flexure-Based Mechanisms for Micro-/Nanomanipulation , 2009, IEEE/ASME Transactions on Mechatronics.

[28]  Vadim I. Utkin,et al.  On Convergence Time and Disturbance Rejection of Super-Twisting Control , 2013, IEEE Transactions on Automatic Control.

[29]  David Kerr,et al.  A methodology for design and appraisal of surgical robotic systems , 2009, Robotica.

[30]  T.C.S. Hsia,et al.  A new technique for robust control of servo systems , 1989 .

[31]  Jean-Jacques E. Slotine,et al.  The Robust Control of Robot Manipulators , 1985 .

[32]  Seul Jung,et al.  Force tracking impedance control of robot manipulators under unknown environment , 2004, IEEE Transactions on Control Systems Technology.

[33]  Jaime A. Moreno,et al.  A linear framework for the robust stability analysis of a Generalized Super-Twisting Algorithm , 2009, 2009 6th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE).

[34]  Nikolaos G. Tsagarakis,et al.  Robust and adaptive dynamic controller for fully-actuated robots in operational space under uncertainties , 2019, Auton. Robots.

[35]  Chintae Choi,et al.  Practical Nonsingular Terminal Sliding-Mode Control of Robot Manipulators for High-Accuracy Tracking Control , 2009, IEEE Transactions on Industrial Electronics.

[36]  Tomas Salgado-Jimenez,et al.  Control of ROVs using a Model-free 2nd-Order Sliding Mode Approach , 2011 .