Geometric cooperative control of particle formations

IEEE Transactions on Automatic Control

Volumn 55, Issue 3, 2010, Pages 800-804

  Zhang, Fumin ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Cooperative control; Formation control; Geometric control

Indexed keywords

CO-OPERATIVE CONTROL; CONSENSUS ALGORITHMS; CONTROLLED LAGRANGIAN SYSTEMS; FORMATION CONTROL; FORMATION DYNAMICS; GEOMETRIC APPROACHES; GEOMETRIC CONTROL; NEWTONIANS; PARTICLE FORMATIONS; SHAPE DYNAMICS; SHAPE SPACE; SHAPE VARIABLE;

CONVERGENCE OF NUMERICAL METHODS;

GEOMETRY;

EID: 77949425002     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2040508     Document Type: Article

References (17)

1. R. Olfati-Saber, J. A. Fax, and R. M. Murray, "Consensus and cooperation in networked multi-agent systems," Proc. IEEE, vol.95, no.1, pp. 215-233, Jan. 2007.
2. W. Ren and R. W. Beard, Distributed Consensus in Multi-Vehicle Cooperative Control. New York: Springer-Verlag, 2008.
3. A. Jadbabaie, J. Lin, and A. S. Morse, "Coordination of groups of mobile agents using nearest neighbor rules," IEEE Trans. Autom. Control, vol.48, no.6, pp. 988-1001, Jun. 2003.
4. R. Olfati-Saber and R. M. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Trans. Autom. Control, vol.49, no.9, pp. 1520-1533, Sep. 2004.
5. L. Moreau, "Stability of multiagent systems with time-dependent communication links," IEEE Trans. Autom. Control, vol.50, no.2, pp. 169-182, Feb. 2005.
6. J. Cortés, S. Martínez, and F. Bullo, "Robust rendezvous for mobile autonomous agents via proximity graphs in arbitrary dimensions," IEEE Trans. Autom. Control, vol.51, no.8, pp. 1289-1298, Aug. 2006.
7. R. Littlejohn and M. Reinsch, "Gauge fields in the separation of rotation and internal motions in the n-body problem," Rev. Modern Phys., vol.69, no.1, pp. 213-275, 1997.
8. F. Zhang, M. Goldgeier, and P. S. Krishnaprasad, "Control of small formations using shape coordinates," in Proc. IEEE Int. Conf. Robot. Autom., Taipei, Taiwan, 2003, pp. 2510-2515.
9. F. Zhang, "Cooperative shape control of particle formations," in Proc. 46th IEEE Conf. Decision Control, New Orleans, LA, 2007, pp. 2516-2521.
10. C. Belta and V. Kumar, "Abstraction and control for groups of robots," IEEE Trans. Robotics, vol.20, no.5, pp. 865-875, May 2004.
11. J. Derenick and J. Spletzer, "Convex optimization strategies for coordinating large-scale robot formations," IEEE Trans. Robotics, vol.23, no.6, pp. 1252-1259, Jun. 2007.
12. A. Bloch, J. Baillieul, P. Crouch, and J. E. Marsden, Nonholonomic Mechanics and Control. New York: Springer, 2003.
13. R. Abraham and J. Marsden, Foundations of Mechanics, 2nd ed. Boston, MA: Addison-Wesley, 1978.
14. L.-S. Wang, "Geometry, Dynamics and Control of Coupled Systems," Ph.D. dissertation, Univ. Maryland, College Park, 1990.
15. L.-S. Wang and P. S. Krishnaprasad, "Gyroscopic control and stabilization," J. Nonlin. Sci., vol.2, pp. 367-415, 1992.
16. S. S. Antman, Nonlinear Problems of Elasticity. NewYork: Springer- Verlag, 1995.
17. H. Goldstein, C. Poole, and J. Safko, Classical Mechanics, 3rd ed. Boston, MA: Addison-Wesley, 2002.