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와이어로 구동하는 적층형 다관절 구조를 지닌 수술 로봇의 구동 속도를 고려한 기구학적 제어기의 게인 최적화

Gain Optimization of Kinematic Control for Wire-driven Surgical Robot with Layered Joint Structure Considering Actuation Velocity Bound

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초록

This paper deals with a strategy of gain optimization for the kinematic control algorithm of a wire-driven surgical robot. The proposed controller consists of the closed-loop inverse kinematics with the back-calculation method. The closed-loop inverse kinematics has 18 PID control gains, and the back-calculation method has 6 gains. An efficient strategy is designed to optimize 18 values first and then the remaining 6 values. The optimal gain sets are searched under the step input with performance indices. In this gain optimization, the objective function is defined as the minimum value of signal-to-noise ratio of the performance indices for 6 DoF (Degree-of-Freedom) motion that is based on the Taguchi method, and the constraints are applied to obtain stable responses for each motion evenly. The gain sets obtained are verified by simulations using the test trajectories. In comparative results, the optimal gain value based on the performance index combined with ISE (integral of square error) and settling time showed the best control performance.

Abstract

This paper deals with a strategy of gain optimization for the kinematic control algorithm of a wire-driven surgical robot. The proposed controller consists of the closed-loop inverse kinematics with the back-calculation method. The closed-loop inverse kinematics has 18 PID control gains, and the back-calculation method has 6 gains. An efficient strategy is designed to optimize 18 values first and then the remaining 6 values. The optimal gain sets are searched under the step input with performance indices. In this gain optimization, the objective function is defined as the minimum value of signal-to-noise ratio of the performance indices for 6 DoF (Degree-of-Freedom) motion that is based on the Taguchi method, and the constraints are applied to obtain stable responses for each motion evenly. The gain sets obtained are verified by simulations using the test trajectories. In comparative results, the optimal gain value based on the performance index combined with ISE (integral of square error) and settling time showed the best control performance.

참고문헌 (12)

  1. C. Bergeles, "From passive tool holders to microsurgeons : safer, smaller, smarter surgical robots", IEEE Transactions on Biomedical Engineering, 61(5), pp.1565~1576 (2014)[DOI]
  2. 윤현수, "스프링 구조를 이용한 4자유도 연속체 로봇의 개발", 로봇학회 논문지, 3(4), pp.323~330 (2008), 한국로봇학회
  3. F. Jelínek, "Classification of joints used in steerable instruments for minimally invasive surgery-a review of the state of the art", Journal of Medical Devices, 9(1) (2015)[DOI]
  4. R. J. Webster, "Design and kinematic modeling of constant curvature continuum robots : a review", The International Journal of Robotics Research, 29(13), pp.1661~1683 (2010)[DOI]
  5. P. Berthet-Rayne, "Inverse kinematics control methods for redundant snake-like robot teleoperation during minimally invasive surgery", IEEE Robotics and Automation Letters, 3(3), pp.2501~2508 (2018)[DOI]
  6. S. Jin, "Kinematic Model and Real-Time Path Generator for a Wire-Driven Surgical Robot Arm with Articulated Joint Structure", Applied Sciences, 9(19), pp.4114~ (2019)[DOI]
  7. M. W. Spong, "Robot Modeling and Control, ch. 4", pp.113~130 (2006), John Wiley & Sons Inc
  8. P. Falco, "On the stability of closed-loop inverse kinematics algorithms for redundant robots", IEEE Transactions on Robotics, 27(4), pp.780~784 (2011)[DOI]
  9. A. Colomé, "Closed-loop inverse kinematics for redundant robots : comparative assessment and two enhancements", IEEE, 2015, pp.20(2), 944~955
  10. 박정애, "틸팅하는 추진기를 지닌 수중로봇의 추력벡터 분해와 구동범위 제한알고리즘으로 구성된 제어기의 제어 이득 최적화", 한국정밀공학회지, 36(11), pp.1025~1031 (2019), 한국정밀공학회[DOI]
  11. Stanley M. Shinners, "Modern Control System Theory and Design, ch. 5, sec. 5.6", pp.290~292 (1998), John Wiley & Sons Inc.
  12. G. S. Peace, "Taguchi Methods: A Hands-on Approach, ch.17", pp.273~291 (1993), Addison-Wesley

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