A feedback control scheme for multiple independent dynamic non-point agents

International Journal of Control

Volumn 79, Issue 12, 2006, Pages 1613-1623

  Dimarogonas, Dimos V ^a   Kyriakopoulos, Kostas J ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

COLLISION AVOIDANCE; COMPUTER SIMULATION; CONSTRAINT THEORY; MATHEMATICAL MODELS; MOTION CONTROL; MULTI AGENT SYSTEMS; ROBOTICS;

FEEDBACK STABILIZATION; GLOBAL CONVERGENCE; METHODOLOGY; MULTIPLE NONHOLONOMIC AGENTS;

FEEDBACK CONTROL;

EID: 33747626286     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170600867123     Document Type: Article

References (29)

1. F. Ceragioli, "Discontinuous ordinary differential equations and stabilization". PhD thesis, Department of Mathematics, Universita di Firenze (1999).
2. F. Clarke. Optimization and Nonsmooth Analysis, Reading: Addison-Wesley, 1983.
3. J. Cortes, S. Martinez and F. Bullo, "Robust rendezvous for mobile autonomous agents via proximity graphs in arbitrary dimensions", IEEE Trans. Autom. Cont., to appear, 2006.
4. D.V. Dimarogonas, MM. Zavlanos, S.G. Loizou and K.J. Kyriakopoulos, "Decentralized motion control of multiple holonomic agents under input constraints", in 42nd IEEE Conf. Deci. Cont., 2003, pp. 3390-3395.
5. D.V. Dimarogonas and K.J. Kyriakopoulos, "Decentralized stabilization and collision avoidance of multiple air vehicles with limited sensing capabilities", in 2005 American Control Conference, 2005, pp. 4667-4772.
6. D.V. Dimarogonas, S.G. Loizou, K.J. Kyriakopoulos and M.M. Zavlanos, "A feedback stabilization and collision avoidance scheme for multiple independent non-point agents", Automatica, 42, pp. 229-243, 2006.
7. D.V. Dimarogonas and K.J. Kyriakopoulos, "A feedback stabilization and collision avoidance scheme for multiple independent nonholonomic non-point agents", in Joint International Symposium on Intelligent Control & 13th Mediterranean Conference on Control and Automation, 2005a, pp. 820-825.
8. D.V. Dimarogonas and K.J. Kyriakopoulos, "Decentralized motion control of multiple agents with double integrator dynamics", in 16th IFAC World Congress, 2005b.
9. A. Filippov, Differential Equations with Discontinuous Right-hand Sides, Dordrecht: Kluwer Academic Publishers, 1988.
10. V. Gazi and K.M. Passino, "Stability analysis of swarms", IEEE Trans. Autom. Cont., 48, pp. 692-696, 2003.
11. M. Ji and M. Egerstedt, "Connectedness preserving distibuted coordination control over dynamic graphs", in 2005 American Control Conference, 2005, pp. 93-98.
12. D.E. Koditschek and E. Rimon, "Robot navigation functions on manifolds with boundary", Adv. Appl. Math., 11, pp. 412-442, 1990.
13. G. Lafferriere, A. Williams, J. Caughman and J.J.P. Veerman, "Decentralized control of vehicle formations", Sys. Cont. Lett., 54, pp. 899-910, 2005.
14. J. Lin, A.S. Morse and B.D.O. Anderson, "The multi-agent rendezvous problem", in 42st IEEE Conf Decision and Control, 2003, pp. 1508-1513.
15. Z. Lin, B. Francis and M. Maggiore, "Necessary and sufficient graphical conditions for formation control of unicycles", IEEE Trans. Autom. Cont., 50, pp. 121-127, 2005.
16. S.G. Loizou and K.J. Kyriakopoulos, "Closed loop navigation for multiple holonomic vehicles", in Proc. of IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, 2002, pp. 2861-2866.
17. S.G. Loizou, D.V. Dimarogonas and K.J. Kyriakopoulos, "Decentralized feedback stabilization of multiple nonholonomic agents", in 2004 IEEE Int. Conf. on Robotics and Autom., 2004, pp. 3012-3017.
18. S.G. Loizou and K.J. Kyriakopoulos, "Closed loop navigation for multiple non-holonomic vehicles", IEEE Int. Conf. on Robotics and Autom., pp. 420-425, 2003.
19. J. Milnor, Morse Theory, Annals of Mathematics Studies, Princeton, NJ: Princeton University Press, 1963.
20. L. Moreau, "Stability of continuous-time distributed consensus algorithms", in 43rd IEEE Conf. Decision and Control, 2004, pp. 3998-4003.
21. R. Olfati-Saber, "Flocking for multi-agent dynamic systems: algorithms and theory", IEEE Trans. Autom. Cont., 51(3), pp. 401-420, 2006.
22. L. Pallottino, V.G. Scordio, E. Frazzoli and A. Bicchi, "Probabilistic verification of a decentralized policy for conflict resolution in multiagent systems", in IEEE Intern. Conf. Robotics and Automation, 2006.
23. W. Ren and R. Beard, "Consensus seeking in multiagent systems under dynamically changing interaction topologies", IEEE Trans. Autom. Cont., 50, pp. 655-661, 2005.
24. D. Shevitz and B. Paden, "Lyapunov stability theory of nonsmooth systems", IEEE Trans. Autom. Cont., 49, pp. 1910-1914, 1994.
25. H.G. Tanner and K.J. Kyriakopoulos, "Nonholonomic motion planning for mobile manipulators", in Proc of IEEE Int. Conf. on Robotics and Automation, 2000, pp. 1233-1238.
26. H.G. Tanner, S.G. Loizou and K.J. Kyriakopoulos, "Nonholonomic navigation and control of cooperating mobile manipulators", IEEE Trans. Rob. Automat., 19, pp. 53-64, 2003.
27. H.G. Tanner, A. Jadbabaie and G.J. Pappas, "Stable flocking of mobile agents", in 42st IEEE Conf. Decision and Control, 2003.
28. H.G. Tanner and A. Kumar, "Formation stabilization of multiple agents using decentralized navigation functions", Rob.: Sci. Sys., S. Thrun, et al. (eds) Cambridge, MA: MIT Press, pp. 49-56, 2005.
29. M.M. Zavlanos and K.J. Kyriakopoulos, "Decentralized motion control of multiple mobile agents", in Proceedings of the 11th Mediterranean Conference on Control and Automation, 2003.