Optimal motion of an articulated body in a perfect fluid

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 2511-2516

  Kanso, Eva ^a   Marsden, Jerrold E ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICULATED BODIES; NONLINEAR OPTIMIZATION PROBLEM; OPTIMAL MOTION;

BIPED LOCOMOTION; MOTION PLANNING; OPTIMIZATION; PROBLEM SOLVING;

BODY FLUIDS;

EID: 33751195844     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582540     Document Type: Conference Paper

References (23)

1. Ambrose, W. and I.M. Singer [1953], A theorem on holonomy, Trans. AMS, 75, 428-453.
2. Cortés, J., S. Martínez, J. P. Ostrowski and K. A. McIsaac [2001], Optimal gaits for dynamic robotic locomotion Intern. J. of Robotics Research, 20, 707-728.
3. Childress, S. [1981], Mechanics of swimming and flying, Cambridge University Press, NY.
4. Chow, W.L. [1939], Über systeme van linearen partiellen differential-gleichungen erster ordnung, Math. Ann, 117, 98-105.
5. Junge, O., Marsden, J.E. and Ober-Blöbaum, S. [2005], Discrete optimal control, Proc. IFAC Conf., Prague.
6. Kanso, E., J.E. Marsden, C.W. Rowley and J. Melli-Huber [2005], Locomotion of articulated bodies in a perfect fluid, J. Nonlinear Science, 15:255-289.
7. Kelly, S. D. [1998], The Mechanics and Control of Robotic Locomotion with Applications to Aquatic Vehicles, PhD thesis, California Institute of Technology.
8. Lamb, H. [1932], Hydrodynamics. Dover, NY, sixth edition.
9. Liao, J.C., D.N. Beal, G.V. Lauder and M.S. Triantafyllou [2003], Fish exploiting vortices decrease muscle activity Science, 302, 1566-1569.
10. Lighthill, J. [1975], Mathematical Biofluiddynamics. Society for Industrial and Applied Mathematics, PA.
11. Melli-Huber, J.B., D. Rufat, C.W. Rowley [2005], Motion Planning for an Articulated Body in a Perfect Fluid, (in preparation).
12. Montgomery, R. [1990], Isoholonomic Problems and Some Applications, Commun. Math. Phys. 128: 565-592.
13. Morgansen K. A., V. Duindam, R. J. Mason, J. W. Burdick and R. M. Murray [2001] Nonlinear control methods for planar carangiform robot fish locomotion, In Proc. IEEE International Conference on Robotics and Automation, pp. 427-434.
14. Müller, U. K. [2003], Fish'n Flag, Science 302, pp. 1511-1512.
15. Newman, J. N [1977], Marine Hydrodynamics. MIT press, Cambridge, Ma.
16. Ostrowski J. P., J. P. Desai and V. Kumar [2000], Optimal gait selection for nonholonomic locomotion systems Intern. J. of Robotics Research, 19, 225-237.
17. Radford, J. and J. Burdick [1998], Local motion planning for non-holonomic control systems evolving on principal bundles, In Proc. Mathematical Theory of Networks and Systems.
18. Radford, J. [2003], Symmetry, Reduction and Swimming in a Perfect Fluid, PhD thesis, California Institute of Technology.
19. Stoer, J. and R. Bulirsch [2002], Introduction to numerical analysis, Springer, New York, 12 xvi+744.
20. von Stryk, O. [1993], Numerical solution of optimal control problems by direct collocation, Optimal control (Freiburg, 1991), Int. Ser. Numer. Math., Birkhäuser, Basel, 129-143.
21. Taylor, G.I. [1952], Analysis of the swimming of long and narrow animals, Proc. Roy. Soc. London A, 214(1117): 158-183.
22. Webb, P.W. [1991], Composition and mechanics of routine swimming of rainbow trout, Oncorhynchus mykiss. Can. J. Fish. Aquat. Sci. 48, 583-590.
23. Wu, T.Y. [1971], Hydrodynamics of swimming fishes and cetaceans, Adv. appl. math. 11, 1-63.