Macro-continuous computed torque algorithm for a three-dimensional eel-like robot

IEEE Transactions on Robotics

Volumn 22, Issue 4, 2006, Pages 763-775

  Boyer, Frédéric ^a   Porez, Mathieu ^a   Khalil, Wisama ^a  

^a ECOLE DES MINES DE NANTES   (France)

Author keywords

Biomimetic; Eel like robot; Hyper redundant robot; Lie groups; Locomotion; Newton Euler algorithms

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; CONTROL SYSTEM SYNTHESIS; DEFORMATION; MATHEMATICAL MODELS; TORQUE;

BIOMIMETIC; EEL-LIKE ROBOT; HYPER-REDUNDANT ROBOT; LIE GROUPS; NEWTON-EULER ALGORITHMS;

ROBOTICS;

EID: 33747625642     PISSN: 15523098     EISSN: None     Source Type: Journal    
DOI: 10.1109/TRO.2006.875492     Document Type: Article

References (34)

1. M. S. Triantafyllou, G. S. Triantafyllou, and R. Gopalkrishnan, "Optimal thrust development in oscillating foils with application to fish propulsion," J. Fluids Struct., vol. 7, pp. 205-224, 1993.
2. R. Mason and J. W. Burdick, "Experiments in caranguiform robotic fish locomotion," in Proc. IEEE Int. Conf. Robot. Autom., San Francisco, CA, 2000, pp. 428-435.
3. K. A. Morgansen, P. A. Vela, and J. W. Burdick, "Trajectory stabilization for a planar caranguiform robot fish," in Proc. IEEE Int. Conf. Robot. Autom., Washington, DC, 2002, pp. 756-762.
4. K. A. McIsaac and J. P. Ostrowski, "A geometric approach to anguilliform locomotion modeling of an underwater eel robot," in Proc. IEEE Int. Conf. Robot. Autom., Detroit, MI, 1999, pp. 2843-2848.
5. N. Kato and T. Inaba, "Guidance and control of fish robot with apparatus of pectoral fin motion," in Proc. IEEE Int. Conf. Robot. Autom., Leuven, Belgium, 1998, pp. 446-451.
6. G. S. Chirikjian and J. W. Burdick, "An obstacle avoidance for hyper-redundant manipulators," in Proc. IEEE Int. Conf. Robot. Autom., Cincinnati, OH, 1990, pp. 14-17.
7. G. S. Chirikjian and J. W. Burdick, "The kinematics of hyper-redundant robot locomotion," IEEE Trans. Robot. Autom., vol. 11, no. 6, pp. 781-793, Dec. 1995.
8. H. Choset and W. Henning, "A follow-the-leader approach to serpentine robot motion planning," ASCE J. Aerosp. Eng., vol. 12, no. 2, pp. 65-73, 1999.
9. J. C. Simo, "A finite strain beam formulation. The three-dimensional dynamic problem. Part I: Formulation and optimal parametrization," Comp. Meth. Appl. Mech. Eng., vol. 72, pp. 267-304, 1989.
10. J. C. Simo and L. Vu-Quoc, "A three-dimensional finite-strain rod model. Part II: Computational aspects," Comp. Meth. Appl. Mech. Eng., vol. 58, pp. 79-116, 1986.
11. J. C. Simo and L. Vu-Quoc, "On the dynamics in space of rods undergoing large motions - A geometrically exact approach," Comp. Meth. Appl. Mech. Eng., vol. 66, pp. 125-161, 1988.
12. J. P. Ostrowski and J. W. Burdick, "The geometric mechanics of undulatory robotics locomotion," Int. J. Robot. Res., vol. 17, no. 7, pp. 683-701, 1998.
13. J. P. Ostrowski et al., "The mechanics of undulatory locomotion: The mixed kinematic and dynamic case," in Proc. IEEE Int. Conf. Robot. Autom., Nagoya, Japan, 1995, vol. 2, pp. 1945-1951.
14. D. K. Kelly and R. M. Murray, "Geometric phases and robotic locomotion," J. Robot. Syst., vol. 12, no. 6, pp. 417-431, 1995.
15. J. Y. S. Luh, M. W. Walker, and R. C. P. Paul, "On-line computational scheme for mechanical manipulator," Trans. ASME, J. Dyn. Syst., Meas., Control, vol. 102, no. 2, pp. 69-76, 1980.
16. W. Khalil and E. Dombre, Modeling, Identification and Control of Robots. London, U.K.: Penton-Sciences, 2002.
17. R. Featherstone, "The calculation of robot dynamics using articulated-body inertias," Int. J. Robot. Res., vol. 2, no. 1, pp. 13-30, 1983.
18. J. Katz and A. Plotkin, Low Speed Aerodynamics, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 2002.
19. J. Lighthill, Mathematical Biofluid-Dynamics. Philadelphia, PA: SIAM, 1973.
20. J. J. Burgess, "Bending stiffness in a simulation of undersea cable deployment," Int. J. Offshore Polar Eng., vol. 3, no. 3, 1993.
21. E. and F. Cosserat, Théorie des corps déformables (in French). Paris, France: Hermann, 1909.
22. E. Reissner, "On a one-dimensional large displacement finite-strain theory," Stud. Appl. Math., vol. 52, pp. 87-95, 1973.
23. J. P. Merlet, Parallel Robots. Boston, MA: Kluwer, 2000.
24. S. P. Timoshenko, Théorie Elémentaire et Problèmes (in French). Paris, France: Dunod, 1968.
25. F. Boyer and D. Primault, "Finite element of slender beams in finite transformations - A geometrically exact approach," Int. J. Numer. Methods Eng., vol. 59, no. 5, pp. 669-702, 2004.
26. J. R. Morison M. P. O'Brien J. W. Johnson S. A. Schaaf, "The force exerted by surface waves on piles," Trans. AIME, vol. 189, pp. 149-154, 1950.
27. A. H. Techet and M. S. Triantafyllou, "Fluid forces on bodies," in Lecture Course for Ocean Engineering. Cambridge, MA: MIT Press, 2004.
28. G. Susbielles and C. Bratu, Vagues et Ouvrages Pétroliers en Mer. (in French). Paris, France: Editions Technip, 1981.
29. A. Cardona and M. Géradin, "A beam finite element non-linear theory with finite rotations," Int. J. Numer. Methods Eng., vol. 26, pp. 2403-2438, 1988.
30. H. Goldstein, Classical Mechanics. Reading, MA: Addison-Wesley, 1980.
31. L. Meirovitch, Dynamics and Control of Structures. New York: Wiley, 1990.
32. R. Comolet, Mécanique Expérimentale des Fluides (in French) Paris, France: Masson, 1994.
33. G. B. Gillis, "Environmental effects on undulatory locomotion in the American eel anguilla rostrata: Kinematics in water and on land," J. Exp. Biol., vol. 201, pp. 949-961, 1998.
34. U. K. Müller et al., "How body contributes to the wake in undulatory fish swimming: Flow fields of swimming eel (Anguilla Anguilla)" J. Exp. Biol., vol. 204, pp. 2751-2762, 2001.