Output synchronization of nonlinear systems with time delay in communication

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2006, Pages 4986-4992

  Chopra, Nikhil ^a   Spong, Mark W ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL NONLINEARITIES; MULTI AGENT SYSTEMS; PROBLEM SOLVING; SYNCHRONIZATION; TIME DELAY;

LINEAR COUPLING; NONLINEAR COUPLING; OUTPUT SYNCHRONIZATION; POSITIVE DEFINITE STORAGE FUNCTIONS;

NONLINEAR CONTROL SYSTEMS;

EID: 39549108360     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2006.377258     Document Type: Conference Paper

References (42)

1. R. J. Anderson and M. W. Spong, "Bilateral control of teleoperators with time delay," IEEE Transactions on Automatic Control, Vol. 34, No. 5, pp. 494-501, May 1989.
2. D. Angeli and P.-A. Bliman, "Stability of leaderless multi-agent systems. extension of a result by Moreau,". preprint:math.OC/0411338, (http://arxiv.org/list/math.oc/0411).
3. M. Arcak, "Passivity as a design tool for group coordination," Proceedings of the American Control Conference, 2006.
4. V. D. Blondel, J. M. Hendrickx, A. Olshevsky, and J. N. Tsitsiklis, "Convergence in multiagent coordination, consensus, and flocking," IEEE Conference on Decision and Control, Spain, Dec. 2005.
5. C. I. Byrnes, A. Isidori and J. C. Willems, "Passivity, feedback equivalence, and global stabilization of minimum phase nonlinear systems," IEEE Transactions on Automatic Control, Vol. 36, No. 11, pp. 1228-1240, 1991.
6. N. Chopra, "Output synchronization of networked passive systems," Ph.D. Thesis, University of Illinois at Urbana-Champaign, 2006.
7. N. Chopra and M. W. Spong, "On output synchronization of networked passive systems," preprint, 2006.
8. N. Chopra and M. W. Spong, "On synchronization of networked passive systems with time delays and application to bilateral teleoperation," In Annual Conference of Society of Instrument and Control Engineers of Japan, Okayama, Japan, Aug. 6-10, 2005.
9. N. Chopra and M. W. Spong, "On synchronization of Kuramoto oscillators," IEEE Conference on Decision and Control, pp. 3916-3922, Spain, Dec. 2005.
10. J. Cortés, S. Martínez, T. Karatas, and F. Bullo, "Coverage control for mobile sensing networks," IEEE Transactions on Robotics and Automation, Vol. 20, No. 2, pp. 243-255, April 2004.
11. J. A. Fax and R. M. Murray, "Information flow and cooperative control of vehicle formations," IEEE Transactions on Automatic Control, Vol. 49, No. 9, pp. 1465-1476, 2004.
12. C. Godsil and G. Royle, Algebraic Graph Theory, Springer Graduate Texts in Mathematics No. 207, New York, 2001.
13. J. K. Hale and S. M. Verduyn, Introduction to Functional Differential Equations, Applied Mathematical Sciences, Springer-Verlag, New York, 1993.
14. D. J. Hill and P. J. Moylan, "The stability of nonlinear dissipative systems," IEEE Transactions on Automatic Control, Vol. 21, pp. 708-711, 1976.
15. A. Jadbabaie, J. Lin, and A. S. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Transactions on Automatic Control, Vol. 48, pp. 988-1001, June 2003.
16. E. W. Justh and P. S. Krishnaprasad, "A simple control law for UAV formation flying," Technical Report 2002-38, Institute for Systems Research, 2002.
17. H. K. Khalil, Nonlinear Systems, Prentice Hall, Upper Saddle River, New Jersey, 2002.
18. Y. Kuramoto, In International Symposium on Mathematical Problems in Theoretical Physics, Lecture Notes in Physics, Vol. 39, Springer, New York, 1975.
19. D. J. Lee and M. W. Spong, "Stable flocking of multiple inertial agents on balanced graphs," IEEE Transactions on Automatic Control, Accepted.
20. N. E. Leonard and E. Fiorelli, "Virtual leaders, artificial potentials and coordinated control of groups," IEEE Conference on Decision and Control, pp. 2968-2973, Orlando, Florida, 2001.
21. R. Lozano, N. Chopra and M. W. Spong, "Passivation of force reflecting bilateral teleoperators with time varying delay," Meehatronics'02, Entschede, Netherlands, 2002.
22. J. A. Marshall, M. E. Broucke, and B. A. Francis, "Formation of vehicles in cyclic pursuit," IEEE Transactions on Automatic Control, Vol. 49, No. 11, pp. 1963-1974, Nov. 2004.
23. T. Matiakis, S. Hirche, and M. Buss, "The scattering transformation for networked control systems," IEEE Conference on Control Applications, pp. 705-710, Toronto, CA, Aug. 2005.
24. L. Moreau, "Stability of multi-agent systems with time-dependent communication links," IEEE Transactions on Automatic Control, Vol. 50, No. 2, pp. 169-182, Feb. 2005.
25. P. J. Moylan, "Implications of passivity for a class of nonlinear systems," IEEE Transactions on Automatic Control, Vol. 19, pp. 373-381, Aug. 1974.
26. G. Niemeyer and J.J.-E., Slotine, "Stable adaptive teleoperation," IEEE Journal of Oceanic Engineering, Vol. 16, No. 1, pp. 152-162, Jan. 1991.
27. H. Nijmeijer, "A dynamical control view on synchronization," Physica D, 154, 219-228, 2001.
28. R. Ortega and M. W. Spong, "Adaptive motion control of rigid robots: a tutorial," IEEE Conference on Decision and Control, Vol. 2, pp. 1575-1584, San Antonio, TX, Dec. 1988.
29. A. Yu. Pogromsky, "Passivity based design of synchronizing systems", Int. J. Bifurcat. Chaos, Vol. 8, No. 2, pp. 295-319, 1998.
30. W. Ren and R. W. Beard, "Consensus seeking in multi-agent systems using dynamically changing interaction topologies," IEEE Transactions on Automatic Control, Vol. 5, No. 5, pp. 655-661, May 2005.
31. C. W. Reynolds, "Flocks, herds, and schools: A distributed behavioural model," Computer Graphics, 21 (4), 25-34, 1987.
32. R. Olfati-Saber and R. M. Murray, "Consensus problems in networks of dynamic agents with switching topology and time-delays," IEEE Transactions on Automatic Control, Vol. 49, pp. 1520-1533, Sept. 2004.
33. R. Sepulchre, D. Paley, and N. Leonard, "Collection motion and oscillator synchronization," Cooperative Control, Lecture Notes in Control and Information Sciences, Vol. 309, Springer Verlag, 2004.
34. R. Sepulchre, M. Jankovic, and P. V. Kokotović, Constructive Nonlinear Control, Springer Verlag, 1997.
35. J.-J. E. Slotine and W. Wang, "A study of synchronization and group cooperation using partial contraction theory," Cooperative Control, Lecture Notes in Control and Information Sciences, Vol. 309, Springer Verlag, 2004.
36. M. W. Spong, S. Hutchinson, and M. Vidyasagar, Robot Modeling and Control, John Wiley & Sons, Inc., New York, 2006.
37. H. G. Tanner, G. J. Pappas, and V. Kumar, "Leader-to-formation stability," IEEE Transactions on Robotics and Automation, Vol. 20, No. 3, pp. 443-455, 2004.
38. J. N. Tsitsiklis, D. P. Bertsekas and M. Athans, "Distributed Asynchronous Deterministic and Stochastic Gradient Optimization Algorithms," IEEE Transactions on Automatic Control, Vol. 31, No. 9, pp. 803-812, 1986.
39. T. Vicsek, A. Czirck, E. Ben-Jacob, I. Cohen, and O. Schochet, "Novel type of phase transitions in a system of self-driven particles," Physical Review Letters, Vol. 75, No. 6, pp. 1226-1229, Aug. 1995.
40. W. Wang and J.-J. E. Slotine, "Contraction analysis of time-delayed communications and group cooperation," IEEE Transactions on Automatic Control, Vol. 51, No. 4, pp. 712-717, April 2006.
41. J. C. Willems, "Dissipative dynamical systems, part 1: general theoery; part 2: linear systems with quadratic supply rates," Archive for Rational Mechanics and Analysis, Vol. 45, pp. 321-393, 1972.
42. S. Yanchuk, "Discretization of frequencies in delay coupled oscillators," Physical Review, E, 72, 036205 2005.