Abstract
Due to the inherent deformability of continuum robots (CRs), closed-loop control strategies of CRs come with some challenges, including sensor integration within a limited dimension and uncertainties with the CR system. In this paper, to obtain the spatial shape information and tip position of a cable-driven CR, a draw tower grating (DTG) sensor is integrated. A shape sensing algorithm is proposed to reconstruct the shape of the CR based on the relation between the DTG sensor and the CR centerline. Then, with the feedback information of the DTG sensor, a damped least-squares (DLS)-based closed-loop controller is implemented to improve the trajectory tracking performance of the CR. To verify the effectiveness of the proposed scheme, comparative experiments are performed.
Issue Section:
Research Papers
References
1.
Robinson
, G.
, and Davies
, J.
, 1999
, “Continuum Robots—A State of the Art
,” Proceedings of IEEE International Conference on Robotics and Automation
, Detroit, MI
, May 10–15
, pp. 2849
–2854
. http://dx.oi.org/10.1109/ROBOT.1999.7740292.
Thomas
, T. L.
, Venkiteswaran
, V. K.
, Ananthasuresh
, G. K.
, and Misra
, S.
, 2021
, “Surgical Applications of Compliant Mechanisms: A Review
,” ASME J. Mech. Rob.
, 13
(2
), p. 020801
. 3.
Wang
, C.
, Frazelle
, C. G.
, Wagner
, J. R.
, and Walker
, I. D.
, 2021
, “Dynamic Control of Multisection Three-Dimensional Continuum Manipulators Based on Virtual Discrete-Jointed Robot Models
,” IEEE/ASME Trans. Mechatron.
, 26
(2
), pp. 777
–788
. 4.
Li
, S.
, and Hao
, G.
, 2021
, “Current Trends and Prospects in Compliant Continuum Robots: A Survey
,” Actuators
, 10
(7
), pp. 1
–26
.5.
Li
, M.
, Kang
, R.
, Branson
, D. T.
, and Dai
, J. S.
, 2018
, “Model-Free Control for Continuum Robots Based on an Adaptive Kalman Filter
,” IEEE/ASME Trans. Mechatron.
, 23
(1
), pp. 286
–297
. 6.
Zhou
, B.
, Yang
, L.
, Wang
, C.
, Chen
, Y.
, and Chen
, K.
, 2020
, “Inverse Jacobian Adaptive Tracking Control of Robot Manipulators With Kinematic, Dynamic, and Actuator Uncertainties
,” Complexity
, 2020
, Art. no. 5070354
.7.
Hannan
, M. W.
, and Walker
, I. D.
, 2003
, “Kinematics and the Implementation of an Elephant’s Trunk Manipulator and Other Continuum Style Robots
,” J. Robot. Syst.
, 20
(2
), pp. 45
–63
. 8.
Webster
, R. J.
, and Jone
, B. A.
, 2010
, “Design and Kinematic Modeling of Constant Curvature Continuum Robots: A Review
,” Int. J. Robot. Res.
, 29
(13
), pp. 1661
–1683
. 9.
Buss
, S. R.
, and Kim
, J.-S.
, 2004
, “Selectively Damped Least Squares for Inverse Kinematics
,” J. Graph. Tools
, 10
(3
), pp. 37
–49
. 10.
Liu
, T.
, Jackson
, R.
, Franson
, D.
, Poirot
, N. L.
, Criss
, R. K.
, Seiberlich
, N.
, Griswold
, M. A.
, and Çavuşoǧlu
, M. C.
, 2017
, “Iterative Jacobian-Based Inverse Kinematics and Open-Loop Control of an MRI-Guided Magnetically Actuated Steerable Catheter System
,” IEEE/ASME Trans. Mechatron.
, 22
(4
), pp. 1765
–1776
. 11.
Li
, M.
, Kang
, R.
, Geng
, S.
, and Guglielmino
, E.
, 2018
, “Design and Control of a Tendon-Driven Continuum Robot
,” Trans. Inst. Meas. Control
, 40
(11
), pp. 3263
–3272
. 12.
Colomé
, A.
, and Torras
, C.
, 2015
, “Closed-Loop Inverse Kinematics for Redundant Robots: Comparative Assessment and Two Enhancements
,” IEEE/ASME Trans. Mechatron.
, 20
(2
), pp. 944
–955
. 13.
Shapiro
, Y.
, Kosa
, G.
, and Wolf
, A.
, 2014
, “Shape Tracking of Planar Hyper-Flexible Beams Via Embedded PVDF Deflection Sensors
,” IEEE/ASME Trans. Mechatron.
, 19
(4
), pp. 1260
–1267
. 14.
Franz
, A. M.
, Haidegger
, T.
, Birkfellner
, W.
, Cleary
, K.
, Peters
, T. M.
, and Maier-Hein
, L.
, 2014
, “Electromagnetic Tracking in Medicine—A Review of Technology, Validation, and Applications
,” IEEE Trans. Med. Imag.
, 33
(8
), pp. 1702
–1725
. 15.
Song
, S.
, Li
, Z.
, Yu
, H.
, and Ren
, H.
, 2015
, “Electromagnetic Positioning for Tip Tracking and Shape Sensing of Flexible Robots
,” IEEE Sensors J.
, 15
(8
), pp. 4565
–4575
. 16.
Zhang
, C.
, Lu
, Y.
, Qiu
, X.
, Song
, S.
, Liu
, L.
, and Meng
, M. Q.-H.
, 2017
, “Preliminary Study on Magnetic Tracking Based Navigation for Wire-Driven Flexible Robot
,” Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems
, Vancouver, Canada
, Sept. 24–28
, pp. 2517
–2523
.17.
Liu
, H.
, Farvardin
, A.
, Grupp
, R.
, Murphy
, R. J.
, Taylor
, R. H.
, Iordachita
, I.
, and Armand
, M.
, 2015
, “Shape Tracking of a Dexterous Continuum Manipulator Utilizing Two Large Deflection Shape Sensors
,” IEEE Sensors J.
, 15
(10
), pp. 5494
–5503
. 18.
Wang
, H.
, Zhang
, R.
, Chen
, W.
, Liang
, X.
, and Pfeifer
, R.
, 2016
, “Shape Detection Algorithm for Soft Manipulator Based on Fiber Bragg Gratings
,” IEEE/ASME Trans. Mechatron.
, 21
(6
), pp. 2977
–2982
. 19.
Al-Ahmad
, O.
, Ourak
, M.
, Van Roosbroeck
, J.
, Vlekken
, J.
, and Poorten
, E. V.
, 2020
, “Improved FBG-Based Shape Sensing Methods for Vascular Catheterization Treatment
,” IEEE Robot. Autom. Lett.
, 5
(3
), pp. 4687
–4694
.20.
Van Hoe
, B.
, Van Roosbroeck
, J.
, Voigtlander
, C.
, Vlekken
, J.
, and Lindner
, E.
, 2016
, “Distributed Strain and Curvature Measurements Based on Tailored Draw Tower Gratings
,” Proceedigns of the IEEE Avionics and Vehicle Fiber-Optics and Photonics Conference (AVFOP)
, Long Beach, CA
, Oct. 31–Nov. 3
, pp. 285
–286
.21.
Shi
, C.
, Luo
, X.
, Qi
, P.
, Li
, T.
, Song
, S.
, Najdovski
, Z.
, Fukuda
, T.
, and Ren
, H.
, 2017
, “Shape Sensing Techniques for Continuum Robots in Minimally Invasive Surgery: A Survey
,” IEEE Trans. Biomed. Eng.
, 64
(8
), pp. 1665
–1678
. 22.
Khan
, F.
, Denasi
, A.
, Barrera
, D.
, Madrigal
, J.
, Sales
, S.
, and Misra
, S.
, 2019
, “Multi-core Optical Fibers With Bragg Gratings as Shape Sensor for Flexible Medical Instruments
,” IEEE Sensors J.
, 19
(14
), pp. 5878
–5884
. 23.
Roesthuis
, R. J.
, Kemp
, M.
, and Misra
, S.
, 2014
, “Three-Dimensional Needle Shape Reconstruction Using an Array of Fiber Bragg Grating Sensors
,” IEEE/ASME Trans. Mechatron.
, 19
(4
), pp. 1115
–1126
. 24.
Carrol
, D.
, Kose
, E.
, and Sterling
, I.
, 2013
, “Improving Frenet’s Frame Using Bishop’s Frame
,” J. Math. Res.
, 5
(4
), pp. 97
–106
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