Bounded controllers for formation stabilization of mobile agents with limited sensing ranges

IEEE Transactions on Automatic Control

Volumn 52, Issue 3, 2007, Pages 569-576

  Do, K D ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

Bounded control; Bump function; Formation stabilization and tracking; Potential function

Indexed keywords

BARBALAT'S LEMMA; BOUNDED CONTROLLERS; BOUNDED CONTROLS; CONSTRUCTIVE METHODS; FORMATION STABILIZATION; FORMATION TRACKING; POTENTIAL FUNCTION; SENSING RANGES;

CLOSED LOOP SYSTEMS; CONTROLLERS; STABILIZATION;

MOBILE AGENTS;

EID: 37549012620     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2007.892382     Document Type: Conference Paper

References (19)

1. A. K. Das, R. Fierro, V. Kumar, J. P. Ostrowski, J. Spletzer, and C. J. Taylor, "A vision based formation control framework," IEEE Trans. Robot. Automat., vol. 18, no. 5, pp. 813-825, Oct. 2002.
2. N. E. Leonard and E. Fiorelli, "Virtual leaders, artificial potentials and coordinated control of groups," in Proc. IEEE Conf. Decision Control, Orlando, FL, 2001, pp. 2968-2973.
3. R. T. Jonathan, R. W. Beard, and B. J. Young, "A decentralized approach to formation maneuvers," IEEE Trans. Robot. Automat., vol. 19, no. 6, pp. 933-941, Dec, 2003.
4. T. Balch and R. C. Arkin, "Behavior-based formation control for multirobot teams," IEEE Trans. Robot. Automat., vol. 14, no. 6, pp. 926-939, Dec. 1998. (Pubitemid 128743571)
5. M. A. Lewis and K.-H. Tan, "High precision formation control of mobile robots using virtual structures," Auton. Robot., vol. 4, pp. 387-403, 1997. (Pubitemid 127508784)
6. R. Skjetne, S. Moi, and T. I. Fossen, "Nonlinear formation control of marine craft," in Proc. IEEE Conf. Decision Control, Las Vegas, NV, 2002, pp. 1699-1704.
7. D. M. Stipanovica, G. Inalhana, R. Teo, and C. J. Tomlina, "Decentralized overlapping control of a formation of unmanned aerial vehicles," Automatica, vol. 40, pp. 1285-1296, 2004.
8. H. G. Tanner and A. Kumar, "Towards decentralization of multi-robot navigation functions," in Proc. IEEE Int. Conf. Robot. Automat., Barcelona, Spain, 2005, pp. 4143-4148.
9. -, "Formation stabilization of multiple agents using decentralized navigation functions," in Robotics: Science and Systems IS. Thrun, G. Sukhatme, S. Schaal, and O. Brock, Eds. Cambridge, MA: MIT Press, 2005, p. 4956.
10. E. Rimon and D. E. Koditschek, "Robot navigation functions on manifolds with boundary," Adv. Appl. Math., vol. 11, pp. 412-442, 1990.
11. V. Gazi and K. M. Passino, "A class of attraction/repulsion functions for stable swarm aggregations," Int. J. Control, vol. 77, pp. 1567-1579, 2004. (Pubitemid 40056052)
12. H. G. Tanner, A. Jadbabaie, and G. J. Pappas, "Stable flocking of mobile agents - Part II: Dynamics topology," in Proc. IEEE Conf. Decision Control, Honolulu, HI, 2003, pp. 2016-2021.
13. S. S. Ge and Y. J. Cui, "New potential functions for mobile robot path planning," IEEE Trans. Robot. Automat., vol. 16, no. 5, pp. 615-620, Oct. 2000.
14. P. Ogren, M. Egerstedt, and X. Hu, "A control Lyapunov function approach to multi-agent coordination," IEEE Trans. Robot. Automat., vol. 18, no. 5, pp. 847-851, Oct. 2002.
15. P. Ogren, E. Fiorelli, and N. E. Leonard, "Cooperative control of mobile sensor networks: Adaptive gradient climbing in a distributed environment," IEEE Trans. Autom. Control, vol. 49, no. 8, pp. 1292-1302, Aug. 2004.
16. J. Cortés, S. Martínez, T. Karatas, and F. Bullo, "Coverage control for mobile sensing networks," IEEE Trans. Robot. Automat., vol. 20, no. 2, pp. 243-255, Mar. 2004.
17. H. Khalil, Nonlinear Systems. Upper Saddle River, NJ: Prentice-Hall, 2002.
18. A.Wells, Theory and Problems of Lagrangian Dynamics. New York: Springer-Verlag, 1967.
19. K. D. Do, Z. P. Jiang, and J. Pan, "Universal controllers for stabilization and tracking of underactuated ships," Syst. Control Lett., vol. 47, pp. 299-317, 2002. (Pubitemid 35152359)