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The shape control of tentacle arms

Published online by Cambridge University Press:  09 April 2014

Mircea Ivanescu ,
Nirvana Popescu  and
Decebal Popescu
Mircea Ivanescu*
Affiliation:
Department of Mechatronics, University of Craiova, Craiova, Romania
Nirvana Popescu
Affiliation:
Department of Computer Science, University Politehnica Bucharest, Bucharest, Romania
Decebal Popescu
Affiliation:
Department of Computer Science, University Politehnica Bucharest, Bucharest, Romania
*
*Corresponding author. Email: [email protected]
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Summary

The paper discusses the shape control problem related to a class of hyper-redundant robot arms with continuum elements, i.e. tentacle arms. A spatial weighted technique for sensor measurements is used in order to facilitate the parameter estimation. The paper focuses on the shape control by using the curvature gradient a constant parameter along the segment arm. The conditions that ensure a constant curvature gradient for a class of tentacle arms characterized by elastic backbone are determined. A sensor network distributed along the robot arm is used for the shape control. The main parameters of the arm shape, curvature and curvature gradient or “shape” Jacobian for the control problem are estimated. Two measuring systems are used: a) a distributed angle sensor network and b) a curvature sensor placed at the end of the arm segment. The stability analysis and the resulting controllers are obtained using the concept of boundary geometric control and the weighted state control methods. The shape control algorithms for dynamic models with uncertain components are proposed. Numerical simulations and experimental results illustrate the effectiveness of the above mentioned algorithms.

Keywords

Redundant manipulatorsRobot dynamicsControl of robotic systemsMechatronic systemsSensor or actuator design
Type
Articles
Information
Robotica , Volume 33 , Issue 3 , March 2015 , pp. 684 - 703
Copyright
Copyright © Cambridge University Press 2014 

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References

1.Robinson, G. and Davies, J. B. C., “Continuum Robots – A State of the Art,” Proceedings of the IEEE International Conference on Robotics and Automation, Detroit, May 1999, pp. 2849–2854.Google Scholar
2.Chirikjian, G. S. and Burdick, J. W., “Design and Experiments with a 30 DOF Robot,” Proceedings of the IEEE International Conference on Robotics and Automation (1993) pp. 113–119.Google Scholar
3.Chirikjian, G. S. and Burdick, J. W., “Kinematics of Hyper-Redundant Robot Locomotion with Applications to Grasping,” Proceedings of the IEEE International Conference Robotics and Automation (1991) pp. 720–725Google Scholar
4.Chirikjian, G. S. and Burdick, J. W., “An Obstacle Avoidance Algorithm for Hyper-Redundant Manipulators,” Proceedings of the IEEE International Conference on Robotics and Automation, Cincinnati, Ohio (May 1990) pp. 625–631.Google Scholar
5.Chirikjian, G. S., “Hyper-redundant manipulator dynamics: A continuum approximation,” Adv. Robot. 9 (3), 217–243 (1995).Google Scholar
6.Gravagne, I. A. and Walker, Ian D., “On the Kinematics of Remotely - Actuated Continuum Robots,” Proceedings of the IEEE International Conference on Robotics and Automation, San Francisco, (April 2000), pp. 2544–2550.Google Scholar
7.Gravagne, I. A. and Walker, Ian D., “Uniform Regulation of a Multi-Section Continuum Manipulators,” Proceedings of the IEEE International Conference on Robotics and Automation, Washington DC, (May 2002), pp. 1519–1525.Google Scholar
8.Mochiyama, H. and Kobayashi, H., “The Shape Jacobian of a Manipulator with Hyper Degrees of Freedom,” Proceedings of the IEEE International Conference on Robotics and Automation, Detroit, (May 1999), pp. 2837–2842Google Scholar
9.Braganza, D., Dawson, D. M., Walker, I. D. and Nath, N., “A neural network controller for continuum robots,” IEEE Trans. Robot. 23 (6), 1270–1277 (Dec. 2007).Google Scholar
10.Walker, I. and Hannan, M., “A novel elephant's trunk robot,” Proceedings of IEEE/ASME International on Advanced Intelligent Mechatronics1999, Atlanta, USA, (Sep. 19–23, 1999) pp. 410–415.CrossRefGoogle Scholar
11.Jones, B. and Walker, I. D., “Practical kinematics for real-time implementation of continuum robots,” IEEE Trans. Robot. 22 (6), 1087–1099 (Dec. 2006).Google Scholar
12.Kapadia, A., Walker, I. and Dawson, D., “A Model – Based Sliding Mode Controller for Extensible Continuum Robots,” Recent Advances in Signal Processing, Robotics and Automation, ISPRA Conf. (2009), pp. 103–120.Google Scholar
13.Rucker, D. C., Webster, R. J. III, Chirikjian, G. S. and Cowan, N. J., “Equilibrium Conformations of Concentric-Tube Continuum Robots,” Int. J. Robot. Res. 29 (10), 1263–1280 (2010).CrossRefGoogle ScholarPubMed
14.Gravagne, I. and Walker, I. D., “Manipulability and Force Ellipsoids for Continuum Robot Manipulators,” IEEE/RSJ International Conference on Intelligent Robors and Systems, Maui, Hawaii, (Oct 29–31, 2001), pp. 304–310Google Scholar
15.Ivanescu, M., Bizdoaca, N., Florescu, M., Popescu, N. and Popescu, D., “Frequency Criteria for the Grasping Control of a Hyper-redundant Robot,” Proceedings of the IEEE International Conference on Robotics and Automation, Anchorage, Alaska (ICRA 2010), (May 3–8, 2010), pp. 1542–1549.Google Scholar
16.Ivanescu, M., Cojocaru, D., Bizdoaca, N., Florescu, M., Popescu, N., Popescu, D. and Dumitru, S., “Boundary control by boundary observer for hyper-redundant robots,” Int. J. Comput. Commun. Control 755–767 (2010).Google Scholar
17.La Spina, G., Sfakiotakis, M., Tsakiris, D., Memciassi, A. and Dario, P., “Polychaete-Like undulatory robotic locomotion in unstructured substrates,” IEEE Trans Robot. 23 (6), 1200–1212 (Feb 2007).Google Scholar
18.Ning, Ke Jun and Worgotter, F., “A novel concept for building a hyper-redundant chain robot,” IEEE Trans Robot. 25 (6), 1237–1248 (Dec 2009).CrossRefGoogle Scholar
19.Rucker, D. C., Jones, B. A. and Webster, R. J. III, “A geometrically exact model for externally loaded concentric-tube continuum robots,” IEEE Trans Robot. 26 (5), 769–780 (Oct 2010).Google Scholar
20.Bailly, Y., Amirat, Y. and Fried, G., “Modeling and control of a continuum style microrobot for endovascular surgery,” IEEE Trans Robot. 27 (5), 1024–1030 (Oct 2011).Google Scholar
21.Bajo, A., Simaan, N., “Kinematics-based detection and localization of contacts along multisegment continuum robots,” IEEE Trans Robot. 28 (2), 291–302 (April 2012).Google Scholar
22.Trivedi, D., Rahn, C. D., Kier, W. M. and Walker, I. D., “Soft robotics; Biological inspiration, state of art and future research,” Appl. Bionics Biomechan. 5 (3), 99–117 (2008).Google Scholar
23.Hirose, S., Biologically Inspired Robots: Snake-Like Locomotors and Manipulators (Oxford University Press, Oxford, UK, 1993).Google Scholar
24.Choset, H., Lynch, K. M., Hutchinson, S., Kantor, G., Burgard, W., Kavraki, L. E. and Thrun, S., Principles of Robot Motion, Theory, Algorithms and Implementations (MIT Press, Boston, 2005).Google Scholar
25.Ma, Shugen, Tadokoro, Naoki, and Inoue, Kousuke, “Influence of gradient of a slope to optimal locomotion curves of a snake-like robot,” Int. J. Adv. Robot. 20–4, 413–428 (2006).CrossRefGoogle Scholar
26.Jones, B. A. and Walker, I. D., “Kinematics for multisection continuum robots,” IEEE Trans. Robot. 22 (1), 43–51 (Feb. 2006).CrossRefGoogle Scholar
27.Fareh, R., Saad, M. and Saad, M., “Workspace Tracking Trajectory for 7-DOF ANAT Robot using a Hierarchical Control Strategy,” 20thMediterranean Conference on Control & Automation (MED), Barcelona, Spain, (July 3–6, 2012), 122–128.Google Scholar
28.Shang, H., Forbes, J. F. and Guay, M., “Feedback Control of Hyperbolic Distributed Parameter Systems,” Chem. Eng. Sci. 60, 969–980 (2005).Google Scholar
29.Maidi, A., Corriou, J. P., “Boundary Control of Nonlinear Distributed Parameter Systems by Input-Output Linearization,” 18th IFAC Congress, Milano, (Aug. 228–30), 10910–10916.Google Scholar
30.Fahimi, F., Ashrafiuon, H. and Nataraj, C., “An improved inverse kinematic and velocity solution for spatial hyper-redundant robots,” IEEE Trans. Robot. Automat. 18 (1), 103–107 (Feb. 2002).Google Scholar
31.Hirose, S., and Umetani, Y., “Kinematic Control of Active Cord Mechanism With Tactile Sensors,” Proceedings of the 2nd Int CISM-IFT Symp. On Theory and Practice of Robots and Manipulators (1976), pp. 241–252.Google Scholar
32.Kapadia, A., Walker, I. and Dawson, D., “A Model – Based Sliding Mode Controller for Extensible Continuum Robots,” Recent Advances in Signal Processing, Robotics and Automation, ISPRA Conf., (2009), pp. 103–120.Google Scholar
33.Webster, R. J. and Jones, B. A., “Design and kinematic modelling of constant curvature continuum robots: A review,” Int. J. Robot. Res. 29 (13), 1661–1683 (2010).Google Scholar
34.Hannan, M. W., “Real-time estimation for continuum robots using vision,” Robotica 23 (05), 645–661 (Sept. 2005).Google Scholar
35.Camarillo, D. and Milne, C., “Mechanics modeling of tendon – driven continuum manipulators,” IEEE Trans. Robot. 24 (6), 1262–1273 (December 2008).Google Scholar
36.Sareh, S., Rossiter, J., Conn, A., Drescher, K. and Goldstein, R., Swimming like algae:biomimetics soft artificial cilia,” J.R. Soc. Intrface, 621–634 (2012).Google Scholar
37.Orlov, Y., Pissano, A. and Usai, E., “Exponential stabilization of the uncertain wave equation via distributed dynamic input extension,” IEEE Trans. Aut. Control 56 (1), 212–218 (2011).Google Scholar
38.Beer, F. P. and Johnston, E. R. Jr, Mechanics of Materials (McGraw-Hill, New York, 1981).Google Scholar
39.Schilling, R., Fundamental of Robotics (Prentice Hall, 1990).Google Scholar