Passivity as a design tool for group coordination

IEEE Transactions on Automatic Control

Volumn 52, Issue 8, 2007, Pages 1380-1390

  Arcak, Murat ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Cooperative systems; Distributed control; Lyapunov methods; Passivity

Indexed keywords

CLOSED LOOP SYSTEMS; DISTRIBUTED PARAMETER CONTROL SYSTEMS; FEEDBACK; LYAPUNOV FUNCTIONS; ROBUSTNESS (CONTROL SYSTEMS); TOPOLOGY;

COOPERATIVE SYSTEMS; GROUP COORDINATION; TIME VARYING COMMUNICATION;

GROUPWARE;

EID: 34548265220     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2007.902733     Document Type: Article

References (33)

1. P. Ögren, E. Fiorelli, and N. Leonard, "Cooperative control of mobile sensor networks: Adaptive gradient climbing in a distributed network," IEEE Trans. Autom. Control, vol. 49, no. 8, pp. 1292-1302, 2004.
2. H. Tanner, A. Jadbabaie, and G. Pappas, "Stable flocking of mobile agents, Part I: Fixed topology," in Proc. 42nd Conf. Decision Control, Maui, HI, 2003, pp. 2010-2015.
3. V. Gazi and K. Passino, "Stability analysis of social foraging swarms," IEEE Trans. Syst., Man, Cybern. - Part B: Cybern., vol. 34, no. 1, pp. 539-557, 2004.
4. A. Jadbabaie, J. Lin, and A. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Autom. Control, vol. 48, pp. 988-1001, 2003.
5. R. Olfati-Saber and R. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1520-1533, 2004.
6. L. Moreau, "Stability of multiagent systems with time-dependent communication links," IEEE Trans. Autom. Control, vol. 50, pp. 169-182, 2005.
7. S. Roy, A. Saberi, and K. Herlugson, "A control-theoretic perspective on the design of distributed agreement protocols," in Proc. Amer. Control Conf., Portland, OR, 2005, pp. 1672-1679.
8. Z. Lin, B. Francis, and M. Maggiore, "On the state agreement problem for multiple nonlinear dynamical systems," in Preprints 16th IFAC World Congress, Prague, Czech Republic, 2005.
9. C. Reynolds, "Flocks, herds, and schools: A distributed behavioral model," Comput. Graph., vol. 21, pp. 25-34, 1987.
10. L. Xiao and S. Boyd, "Fast linear iterations for distributed averaging," Syst. Control Lett., vol. 53, pp. 65-78, 2004.
11. D. Casbeer, D. Kingston, R. Beard, T. McLain, S.-M. Li, and R. Mehra, "Cooperative forest fire surveillance using a team of small unmanned air vehicles," Int. J. Syst. Sci., to appear in.
12. Y. Lin, E. Sontag, and Y. Wang, "A smooth converse Lyapunov theorem for robust stability," SIAM J. Contr. Optim., vol. 34, pp. 124-160, 1996.
13. A. Teel and L. Praly, "A smooth Lyapunov function from a class-KL estimate involving two positive semidefinite functions," ESAIM: Control, Optim. Calculus of Variations, vol. 5, pp. 313-367, Jun. 2000.
14. N. Biggs, Algebraic Graph Theory, 2nd ed. Cambridge, U.K.: Cambridge Univ. Press, 1993.
15. 2-gain and Passivity Techniques in Nonlinear Control, 2nd ed. New York: Springer-Verlag, 2000.
16. N. Leonard and E. Fiorelli, "Virtual leaders, artificial potentials and coordinated control of groups," in Proc. 40th IEEE Conf. Decision Control, Orlando, FL, 2001, pp. 2968-2973.
17. M. Pai, Energy Function Analysis for Power System Stability. Boston, MA: Kluwer Academic, 1989.
18. J. Willems, "Direct methods for transient stability studies in power system analysis," IEEE Trans. Autom. Control, vol. 16, no. 4, pp. 332-341, 1971.
19. R. Olfati-Saber and R. Murray, "Consensus protocols for networks of dynamic agents," in Proc. Amer. Control Conf., Denver, CO, 2003, pp. 951-956.
20. J.-J. E. Slotine and W. Wang, "A study of synchronization and group coordination using partial contraction theory," in Cooperative Control, V. Kumar, N. Leonard, and A. Morse, Eds. New York: Springer-Verlag, 2005, vol. 309, pp. 207-228.
21. C. Wu, "Synchronization in arrays of coupled nonlinear systems: Passivity, circle criterion, and observer design," IEEE Trans. Circuits Syst. I, Fundam. Theory Applicat., vol. 48, no. 10, pp. 1257-1261, 2001.
22. W. Ren, R. Beard, and E. Atkins, "A survey of consensus problems in multi-agent coordination," in Proc. Amer. Contr. Conf., Portland, OR, 2005, pp. 1859-1864.
23. K. Das, "An improved upper bound for Laplacian graph eigenvalues," Linear Algebra Its Applicat., vol. 368, pp. 269-278, 2003.
24. G. Szegö, "On the absolute stability of sampled-data control systems," Proc. Nat. Acad. Sci. USA, vol. 49, pp. 558-560, 1963.
25. Y. Z. Tsypkin, "Absolute stability of a class of nonlinear automatic sampled data systems," Automat. Remote Contr., vol. 25, pp. 918-923, 1965, translated from Avtomatika i Telemekhanika, 25:1030-1036, 1964.
26. E. Jury and B. Lee, "On the stability of a certain class of nonlinear sampled-data systems," IEEE Trans. Autom. Control, vol. 9, pp. 51-61, 1964.
27. H. Khalil, Nonlinear Systems, 3rd ed. Upper Saddle River, NJ: Prentice-Hall, 2002.
28. D. Luenberger, Linear and Nonlinear Programming, 2nd ed. Reading, MA: Addison-Wesley, 1984.
29. A. Loría, E. Panteley, D. Popović, and A. Teel, "A nested Matrosov theorem and persistency of excitation for uniform convergence in stable nonautonomous systems," IEEE Trans. Autom. Control, vol. 50, no. 2, pp. 183-198, 2005.
30. P. Kokotović and M. Arcak, "Constructive nonlinear control: A historical perspective," Automatica, vol. 37, no. 5, pp. 637-662, 2001.
31. J. Fax and R. Murray, "Information flow and cooperative control of vehicle formations," IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1465-1476, 2004.
32. H. Tanner, G. Pappas, and V. Kumar, "Leader-to-formation stability," IEEE Trans. Robot. Autom., vol. 20, no. 3, pp. 443-455, 2004.
33. J. Marshall, M. Broucke, and B. Francis, "Formation of vehicles in cyclic pursuit," IEEE Trans. Autom. Control, vol. 49, no. 11, pp. 1963-1974, 2004.