Dynamics and control of the system of a 2-D rigid circular cylinder and point vortices

Proceedings of the American Control Conference

Volumn 2006, Issue , 2006, Pages 4927-4932

  Zhanhua, Ma ^a   Shashikanth, Banavara N ^b  

^a Princeton University   (United States)

^b New Mexico State Univ   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUTONOMOUS UNDERWATER VEHICLES; CIRCULAR CYLINDERS; COMPUTER SIMULATION; HAMILTONIANS; OPTIMAL CONTROL SYSTEMS;

COUPLED SOLID FLUID SYSTEMS; POINT VORTICES; THEORETICAL ANALYSIS; TIME OPTIMAL CONTROL;

CONTROL SYSTEM ANALYSIS;

EID: 34047220037     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (18)

1. A. V. Borisov, I. S. Mamaev and S. M. Ramodanov [2003], Motion of a circular cylinder and n point vortices in a perfect fluid, Reg. Chaotic Dyn., 8(4), 449-462.
2. A. V. Borisov and I. S. Mamaev [2003], An integrability of the problem on motion of cylinder and vortex in the ideal fluid, Reg. Chaotic Dyn., 8(2), 163-166.
3. Chang, D., A. M. Bloch, N. Leonard, J. E. Marsden and C. Woolsey [2002], The equivalence of controlled Lagrangian and controlled Hamiltonian systems, Control and the Caluclus of Variations (special issue dedicated to J. L. Lions), 8, 393-422
4. Chyba, M., N. E. Leonard and E. D. Sontag, Time-Optimal Control for Underwater Vehicles [2000], Proc. of the IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control.
5. Chyba, M., N. E. Leonard and E. D. Sontag [2003], Singular Trajectories in Multi-Input Time-Optimal Problems: Application to Controlled Mechanical Systems, Journal of Dynamical and Control Systems, 9 (1), 73-88.
6. Föppl, L., [1913] Wirbelbewegung hinter einem Kreiszylinder, Sitz. K. Bäyr Akad. Wiss, 1, 7-18. (Also: Vortex motion behind a circular cylinder, NASA TM 77015).
7. Lin C. C. [1941], On the motion of vortices in two dimensions-I and II, Proc. Nat. Acad. Sci., 27, 570-577.
8. Marsden, J. E. and T. S. Ratiu [1999], Introduction to Mechanics and Symmetry, Texts in Applied Mathematics, 17, Springer-Verlag; Second Edition.
9. Milne-Thomson, L. M. [1996], Theoretical Hydrodynamics (fifth edition), Dover, New York.
10. Newton, P. K. [2001], The N-Vortex Problem: Analytical Techniques, Applied Mathematical Sciences, 145, Springer.
11. Nijmeijer, H. and A. Van Der Schaft [1990], Nonlinear Dynamical Control Systems, Springer-Verlag; Third Edition.
12. Pontryagin, L. S., V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mishchenko [1964], The Mathematical Theory of Optimal Processes (translated by D. E. Brown), Macmillan Company.
13. Ramodanov, S. M. [2002], Motion of a circular cylinder and N point vortices in a perfect fluid , Reg. Chaotic Dyn., 7, 291-298.
14. Shapere, A. and F. Wilczek [1989], Geometry of self-propulsion at low Reynolds number, J. Fluid Mech., 198, 557-585.
15. Shashikanth, B. N. [2005], Poisson brackets for the dynamically interacting system of a 2-D rigid cylinder and N point vortices: The case of arbitrary smooth cylinder shapes, Reg. Chaotic Dyn., 10 (1), 1-14.
16. Shashikanth, B. N., J. E. Marsden, J. W. Burdick and S. D. Kelly [2002], The Hamiltonian structure of a 2-D rigid circular cylinder interacting dynamically with N point vortices, Phys. of Fluids , 14 (3), 1214-1227.
17. Sontag, E. D. and H. J. Sussmann [1986], Time-optimal control of manipulators, Proc. IEEE Int. Conf. on Robotics and Automation, 1692-1697.
18. Triantayfyllou, M. S and G. S. Triantayfyllou [1995], An efficient swimming machine, Scientific American, 272, 64-70.