Controlling three dimensional swarms of robots

Proceedings - IEEE International Conference on Robotics and Automation

Volumn 2006, Issue , 2006, Pages 964-969

  Michael, Nathan ^a   Belta, Calin ^b   Kumar, Vijay ^a  

^a UNIVERSITY OF PENNSYLVANIA   (United States)

^b Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EUCLIDEAN GROUPS; ROBOT CONTROL LAWS; ROBOT PERMUTATIONS;

COMPUTER SIMULATION; PROBLEM SOLVING; THREE DIMENSIONAL;

INTELLIGENT ROBOTS;

EID: 33845672710     PISSN: 10504729     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ROBOT.2006.1641834     Document Type: Conference Paper

References (20)

1. C. Belta and V. Kumar. Abstraction and control for groups of robots. IEEE Trans. on Robotics, 20(5):865-875, 2004.
2. C. Belta and V. Kumar. Optimal motion generation for groups of robots: a geometric approach. Journal of Mechanical Design, 126:63-70, 2004.
3. J. P. Desai, J. P. Ostrowsky, and V. Kumar. Controlling formations of multiple mobile robots. In Proc. IEEE Int. Conf. Robot. Autom., p. 2864-2869, Leuven, Belgium, 1998.
4. M. Egerstedt and X. Hu. Formation constrained multi-agent control. In IEEE Trans, on Robotics and Autom., 17(6):947-951, 2001.
5. T. Eren, P. N. Belhumeur, and A. S. Morse. Closing ranks in vehicle formations based rigidity. In IEEE Conference on Decision and Control, 3:2959-2964, Las Vegas, NV, 2002.
6. V. Gazi and K. M. Passino. Stability analysis of swarms. IEEE Transactions on Automatic Control, 48(4):692-696, 2003.
7. A. Guichardet. On rotation and vibration motions of molecules. Ann. Inst. H. Poincare, 40(3):329-342, 1984.
8. A. Jadbabaie, J. Lin, and A. S. Morse. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Transactions on Automatic Control, 48(6):988-1001, 2003.
9. W. Kang, N. Xi, and A. Sparks. Formation control of autonomous agents in 3D workspace In Proc. IEEE Int. Conf. on Robotics and Autom., 2:1755-1760, San Francisco, CA, 2000.
10. S. P. Keating and C. Alden Mead. J. Chem. Phys, 82(5102), 1985.
11. R. G. Littlejohn and M. Reinsch. Internal or shape coordinates in the n-body problem. Phys. Rev. A, 52(3):2035-2051, 1995.
12. R. Murray, Z. Li, and S. S. Sastry. A Mathematical Introduction to Robotic Manipulation. CRC Press, 1993.
13. M. S. Narasimhan and T. R. Ramadas. Commun. Math. Phys., 67(121), 1979.
14. P. Ogren, E. Fiorelli, and N. E. Leonard. Formations with a mission: stable coordination of vehicle group maneuvers. In Proc. Symp. on Math. Theory of Networks and Sys., Notre Dame, IN, August 2002.
15. R. Olfati-Saber and R. M. Murray. Distributed cooperative control of multiple vehicle formations using structural potential functions. In IFAC World Congress, Barcelona, Spain, July 2002.
16. C. Reynolds. Flocks, birds, and schools: a distributed behavioral model. Computer Graphics, 21:25-34, 1987.
17. T. Sugar and V. Kumar. Decentralized control of cooperating mobile manipulators. IEEE Trans. on Robotics and Autom., 18(1):94-103, 2002.
18. P. Tabuada, G. J. Pappas, and P. Lima. Feasible formations of multi-agent systems. In American Control Conf., Arlington, VA, June 2001.
19. H. Tanner, G. J. Pappas, and V. Kumar. Input-state stability in teams of robots. In Proc. IEEE Conf. on Dec. and Control, 3:2439-2444, 2002.
20. F. Zhang, M. Goldgeier, and P. S. Krishnaprasad. Control of small formations using shape coordinates. In Proc. IEEE Int. Conf. on Robotics and Autom., 2:2510-2515, Taipei, Taiwan, 2003.