Robust Trajectory Tracking for a Flexible Probe in the Presence of Uncertainties and Disturbance
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Authors
S. Zamiri
- Electrical Engineering Department, Gonabad Branch, Islamic Azad University, Gonabad, Iran
A. Vahidian Kamyad
- Electrical Engineering Department, Ferdowsi University of Mashhad. Mashhad, Iran
Abstract
This paper investigates the trajectory tracking of a bio-inspired flexible probe in medical where there exist of uncertainty and disturbance in the system. In the first approach, a sliding mode controller is designed to deal with the uncertainties and output disturbances in the system. In this case, it is assumed that the upper band of uncertainty in the system is known, but in practice this may not be really possible. Therefore, in the next section, the sliding mode controller has been extended to a robust – adaptive controller in such a way that even if there is no information on the uncertainty upper bond, the system is still stable and the probe continues to track the desired trajectory. In this case, an adaptive rule has been designed to estimate the upper bound of the uncertainty and disturbance. A numerical simulation shows the effectiveness of the proposed methodologies.
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ISRP Style
S. Zamiri, A. Vahidian Kamyad, Robust Trajectory Tracking for a Flexible Probe in the Presence of Uncertainties and Disturbance, Journal of Mathematics and Computer Science, 14 (2015), no. 2, 108-123
AMA Style
Zamiri S., Kamyad A. Vahidian, Robust Trajectory Tracking for a Flexible Probe in the Presence of Uncertainties and Disturbance. J Math Comput SCI-JM. (2015); 14(2):108-123
Chicago/Turabian Style
Zamiri, S., Kamyad, A. Vahidian. "Robust Trajectory Tracking for a Flexible Probe in the Presence of Uncertainties and Disturbance." Journal of Mathematics and Computer Science, 14, no. 2 (2015): 108-123
Keywords
- Bio-inspired flexible probe
- Sliding mode control
- Robust-adaptive control.
MSC
References
-
[1]
N. Abolhassani, R. Patel, M. Moallem , Needle insertion into soft tissue, e: A survey, Medical Engineering & Physics , 29 (2007), 413–431
-
[2]
B. Davies, Medical robotics a bright future, The Lancet , 368 (2006), S53–S54.
-
[3]
G. Dogangil, B. L. Davies, F. Rodriguez Baena , A review of medical robotics for minimally invasive soft tissue surgery, Proceedings of the Institution of Mechanical, (2008)
-
[4]
G. Fichtinger, T. DeWeese, A. Patriciu et. al., System for robotically assisted prostate biopsy and therapy with intraoperative CT guidance, Acad Radiol, 9(1) (2004), 60–74.
-
[5]
R. Alterovitz, J. Pouliot, R. Taschereau, I. Hsu, K. Goldberg, Simulating needle insertion and radioactive seed implantation for prostate brachytherapy, Stud. in Health Tech. and Informat., (2003), 19– 25.
-
[6]
N. Abolhassani, R. Patel, M. Moallem, Needle insertion into soft tissue: A survey, Med. Eng. and Phys., 29(4) (2009), 413–431.
-
[7]
R. Webster, J. Kim, N. Cowan, G. Chirikjian, A. Okamura, Nonholonomic modeling of needle steering, The Intl. J. of Rob. Res, 25(5-6) (2006), 509
-
[8]
S. Misra, K. Reed, A. Douglas, K. Ramesh, A. Okamura, Needletissue interaction forces for bevel-tip steerable needles, in Proc. IEEE Int. Conf. on Biomed. Rob. and Biomechat., (2008), 224–231.
-
[9]
S. P. DiMaio, S. E. Salcudean, Needle insertion modeling and simulation, IEEE Trans. on Rob. and Auto., 19(5) (2005), 864– 875.
-
[10]
C. Duriez, C. Guébert, M. Marchal, S. Cotin, L. Grisoni, Interactive simulation of flexible needle insertions based on constraint models, in Proc. of MICCAI, (2009), 291–299.
-
[11]
R. Alterovitz, K. Goldberg, A. Okamura, Planning for steerable bevel-tip needle insertion through 2d soft tissue with obstacles, in Proc. of ICRA, (2007), 1640–1645.
-
[12]
S. P. DiMaio, S. E. Salcudean, Needle steering and model-based trajectory planning, MICCAI, (2006), 33–40.
-
[13]
V. Duindam, R. Alterovitz, S. Sastry, K. Goldberg, Screw-based motion planning for bevel-tip flexible needles in 3d environments with obstacles, ICRA, (2009), 2483–2488.
-
[14]
D. Glozman, M. Shoham, Flexible needle steering and optimal trajectory planning for percutaneous therapies, MICCAI, (2004), 137–144.
-
[15]
L. Frasson, S. Y. Ko, A. Turner, T. Parittotokkaporn, J. F. Vincent, F. Rodriguez y Baena, STING, A soft-tissue intervention and neurosurgical guide to access deep brain lesions through curved trajectories, Proceedings of the Institution of Mechanical Engineers-Part H: Journal of Engineering in Medicine , 224 (2010), 775–788.
-
[16]
S. Y. Ko, L. Frasson, B. L. Davies, F. Rodriguez y Baena , Software and hardware integration of a biomimetic flexible probe within the ROBOCAST neurosurgical robotic suite, Hamlyn Symposium on Medical Robotics, London, UK (2010)
-
[17]
G. Fichtinger, T. DeWeese, A. Patriciu et. al., System forrobotically assisted prostate biopsy and therapy with intraoperativeCT guidance, Acad Radiol, 9(1) (2002), 60–74.
-
[18]
N. Abolhassani, R. Patel, M. Moallem, Needle insertion into softtissue: A survey, Med. Eng. and Phys., 9(4) (2007), 413–431.
-
[19]
D. Glozman, M. Shoham, Flexible needle steering and optimal trajectory planning for percutaneous therapies, in Proc. of MICCAI, (2004), 137–144.
-
[20]
N. Abolhassani, R. Patel, F. Ayazi, Minimization of needle deflection in robot-assisted percutaneous therapy, Int. J. of Med.Robot. and Comp. Assis. Surg., 3(2) (2007), 140–148.
-
[21]
S. Misra, K. Reed, A. Douglas, K. Ramesh, A. Okamura, Needletissue interaction forces for bevel-tip steerable needles, in Proc. IEEE Int. Conf. on Biomed. Rob. and Biomechat., (2008), 224–231.
-
[22]
S. P. DiMaio, S. E. Salcudean, Needle insertion modeling and simulation, IEEE Trans. on Rob. and Auto., 19(5) (2003), 864-875.
-
[23]
C. Duriez, C. Guebert, M. Marchal, S. Cotin, L. Grisoni, Interactive simulation of flexible needle insertions based on constraintmodels, in Proc. of MICCAI, (2009), 291–299.
-
[24]
R. Alterovitz, K. Goldberg, A. Okamura, Planning for steerable bevel-tip needle insertion through 2d soft tissue with obstacles, inProc. of ICRA, (2005), 1640–1645.
-
[25]
S. P. DiMaio, S. E. Salcudean, Needle steering and model-based trajectory planning, in Proc. of MICCAI, (2003), 33–40.
-
[26]
V. Duindam, R. Alterovitz, S. Sastry, K. Goldberg, Screw-based motion planning for bevel-tip flexible needles in 3d environments with obstacles, Proc. of ICRA, (2008), 2483–2488.
-
[27]
S. Y. Ko, B. L. Davies, F. Rodriguez y Baena, Two-dimensional needle steering with a ‘‘programmable bevel’’ inspired by nature: modeling preliminaries, IEEE/RSJ International Conference on Intelligent Robots and Systems Taipei, Taiwan, (2010), 2319–2324
-
[28]
S. Y. Ko, L. Frasson, F. Rodriguez y Baena, Closed-loop planar motion control of a steerable probe with a ‘‘programmable bevel’’ inspired by nature, IEEE Transactions on Robotics, 27 (2011), 970–983.
-
[29]
R. J. Webster, J. S. Kim, N. J. Cowan, G. S. Chirikjian, A. M. Okamura , Nonholonomic Modeling of Needle Steering, The International Journal of Robotics Research, 25 (2007), 509-525.
-
[30]
R. Alterovitz, M. Branicky, K. Goldberg , Motion Planning Under Uncertainty for Image-guided Medical Needle Steering, The International Journal of Robotics Research, 27 (2009), 1361-1374.
-
[31]
T. R. Wedlick, A. M. Okamura, Characterization of pre-curved needles for steering in tissue, in Proc. Annu. Int. Conf. IEEE Eng. Med. Biol.Soc., Sep., (2009), 1200–1203.
-
[32]
P. J. Swaney, J. Burgner, H. B. Gilbert, R. J. Webster, A flexure based steerable needle: High curvature with reduced tissue damage, IEEE Trans. Biomed. Eng., 60(4) (2013), 906–909
-
[33]
S. Okazawa, R. Ebrahimi, J. Chuang, S. E. Salcudean, R. Rohling, Hand-held steerable needle device, IEEE/ASME Trans. Mechatronics, 10(3) (2005), 285–296
-
[34]
S. Y. Ko, L. Frasson, F. R. y Baena, Closed-loop planar motion control of a steerable probe with a programmable bevel inspired by nature, IEEE Trans. Robot., 27(5) (2011), 970–983
-
[35]
K. B. Reed, A. M. Okamura, N. J. Cowan , Modeling and Control of Needles with Torsional Friction, IEEE Transactions on Biomedical Engineering, 56 (2009), 2905-2916
-
[36]
D. Glozman, M. Shoham , Flexible Needle Steering and Optimal Trajectory Planning for Percutaneous Therapies, Lecture Notes in Computer Science, 3217 (2005), 137-144
-
[37]
D. Glozman, M. Shoham, Image-Guided Robotic Flexible Needle Steering, IEEE transactions on robotics, 23 (2008), 459-467.
-
[38]
S. Young Ko, F. Rodriguez y Baena, Trajectory following for a flexible probe with state/input constraints: An approach based on model predictive control, Robotics and Autonomous Systems, 60 (2012), 509–521.
-
[39]
D. S. Minhas, J. A. Engh, M. M. Fenske, C. N. Riviere, Modeling of Needle Steering via Duty-Cycled Spinning, in the 29th Annual International Conference of the IEEE EMBS, Lyon, France, (2007), 2756-2759.
-
[40]
D. Minhas, J. A. Engh, C. N. Riviere, Testing of Neurosurgical Needle Steering via Duty-Cycled Spinning in Brain Tissue in Vitro, in IEEE EMBS, Minneapolis, Minnesota, USA, (2009), 258-261.
-
[41]
N. A. Wood, K. Shahrour, M. C. Ost, C. N. Riviere , Needle Steering System using Duty-Cycled Rotation for Percutaneous Kidney Access, in International Conference of the IEEE EMBS, Buenos Aires, Argentina, (2010), 5432-5435.
-
[42]
D. Glozman, M. Shoham , Image-Guided Robotic Flexible Needle Steering, IEEE Transactions on Robotics, 23 (2007), 459-467.