Lyapunov, adaptive, and optimal design techniques for cooperative systems on directed communication graphs

IEEE Transactions on Industrial Electronics

Volumn 59, Issue 7, 2012, Pages 3026-3041

  Zhang, Hongwei ^a   Lewis, Frank L ^b   Qu, Zhihua ^c  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

^c University of Central Florida   (United States)

Author keywords

Consensus; cooperative control; Laplacian potential; multiagent system; neural adaptive control; optimal control

Indexed keywords

ADAPTIVE CONTROL; CO-OPERATIVE CONTROL; CONSENSUS; LAPLACIAN POTENTIALS; OPTIMAL CONTROLS;

ADAPTIVE CONTROL SYSTEMS; CONTROL; DESIGN; DIRECTED GRAPHS; DYNAMICS; ELECTRIC SHIP EQUIPMENT; LINEAR SYSTEMS; LYAPUNOV FUNCTIONS; MULTI AGENT SYSTEMS; NAVIGATION; NONLINEAR SYSTEMS; OPTIMAL SYSTEMS; TOPOLOGY;

COOPERATIVE COMMUNICATION;

EID: 84863116533     PISSN: 02780046     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIE.2011.2160140     Document Type: Article

References (45)

1. M. Defoort, T. Floquet, A. Kokosy, andW. Perruquetti, "Sliding-mode formation control for cooperative autonomous mobile robots," IEEE Trans. Ind. Electron., vol. 55, no. 11, pp. 3944-3953, Nov. 2008.
2. D. Cruz, J. McClintock, B. Perteet, O. Orqueda, Y. Cao, and R. Fierro, "Decentralized cooperative control-A multivehicle platform for research in networked embedded systems," IEEE Control Syst. Mag., vol. 27, no. 3, pp. 58-78, Jun. 2007. (Pubitemid 46864827)
3. X. Wang, V. Yadav, and S. Balakrishnan, "Cooperative UAV formation flying with obstacle/collision avoidance," IEEE Trans. Control Syst. Technol., vol. 15, no. 4, pp. 672-679, Jul. 2007. (Pubitemid 47062005)
4. J. Chen, X. Cao, P. Cheng, Y. Xiao, and Y. Sun, "Distributed collaborative control for industrial automation with wireless sensor and actuator networks," IEEE Trans. Ind. Electron., vol. 57, no. 12, pp. 4219-4230, Dec. 2010.
5. R. Murray, "Recent research in cooperative control of multivehicle systems," J. Dyn. Syst., Meas., Control, vol. 129, no. 5, pp. 571-583, Sep. 2007. (Pubitemid 47549394)
6. W. Ren and C. Cao, Distributed Coordination of Multi-agent Networks: Emergent Problems, Models, and Issues. London, U.K.: Springer- Verlag, 2011.
7. J. Tsitsiklis, D. Bertsekas, and M. Athans, "Distributed asynchronous deterministic and stochastic gradient optimization algorithms," IEEE Trans. Autom. Control, vol. AC-31, no. 9, pp. 803-812, Sep. 1986. (Pubitemid 16629805)
8. T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, and O. Shochet, "Novel type of phase transition in a system of self-driven particles," Phys. Rev. Lett., vol. 75, no. 6, pp. 1226-1229, Aug. 1995.
9. A. Jadbabaie, J. Lin, and A. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Autom. Control, vol. 48, no. 6, pp. 988-1001, Jun. 2003.
10. J. Fax and R. Murray, "Information flow and cooperative control of vehicle formations," IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1465-1476, Sep. 2004.
11. 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, Sep. 2004.
12. W. Ren and R. Beard, "Consensus seeking in multiagent systems under dynamically changing interaction topologies," IEEE Trans. Autom. Control, vol. 50, no. 5, pp. 655-661, May 2005. (Pubitemid 40784437)
13. L. Moreau, "Stability of multiagent systems with time-dependent communication links," IEEE Trans. Autom. Control, vol. 50, no. 2, pp. 169-182, Feb. 2005. (Pubitemid 40319348)
14. W. Ren, R. Beard, and E. Atkins, "Information consensus in multivehicle cooperative control," IEEE Control Syst. Mag., vol. 27, no. 2, pp. 71-82, Apr. 2007. (Pubitemid 46562979)
15. W. Ren, R. Beard, and E. Atkins, "A survey of consensus problems in multi-agent coordination," in Proc. Amer. Control Conf., Portland, OR, 2005, pp. 1859-1864. (Pubitemid 41189135)
16. W. Zhu and D. Cheng, "Leader-following consensus of second-order agents with multiple time-varying delays," Automatica, vol. 46, no. 12, pp. 1994-1999, Dec. 2010.
17. W. Wang and J. Slotine, "A theoretical study of different leader roles in networks," IEEE Trans. Autom. Control, vol. 51, no. 7, pp. 1156-1161, Jul. 2006. (Pubitemid 44070132)
18. W. Ren, K. Moore, and Y. Chen, "High-order and model reference consensus algorithms in cooperative control of multivehicle systems," J. Dyn. Syst., Meas., Control, vol. 129, no. 5, pp. 678-688, Sep. 2007. (Pubitemid 47549402)
19. Y. Hong, G. Chen, and L. Bushnell, "Distributed observers design for leader-following control of multi-agent networks," Automatica, vol. 44, no. 3, pp. 846-850, Mar. 2008. (Pubitemid 351273695)
20. X. Wang and G. Chen, "Pinning control of scale-free dynamical networks," Phys. A, vol. 310, no. 3/4, pp. 521-531, 2002. (Pubitemid 34716166)
21. R. Cui, S. S. Ge, and B. Ren, "Synchronized tracking control of multiagent system with limited information," in Proc. IEEE Conf. Decision Control, Atlanta, GA, 2010, pp. 5480-5485.
22. R. Cui, S. S. Ge, and B. Ren, "Synchronized altitude tracking control of multiple unmanned helicopters," in Proc. Amer. Control Conf., Baltimore, MD, 2010, pp. 4433-4438.
23. R. Olfati-Saber, J. Fax, and R. Murray, "Consensus and cooperation in networked multi-agent systems," Proc. IEEE, vol. 95, no. 1, pp. 215-233, Jan. 2007.
24. H. Zhang and F. Lewis, "Synchronization of networked higher-order nonlinear systems with unknown dynamics," in Proc. IEEE Conf. Decision Control, Atlanta, GA, 2010, pp. 7129-7134.
25. H. Zhang, F. Lewis, and A. Das, "Optimal design for synchronization of cooperative systems: State feedback, observer and output feedback," IEEE Trans. Autom. Control, vol. 56, no. 8, pp. 1948-1952, Aug. 2011.
26. R. Olfati-Saber and R. Murray, "Consensus protocols for networks of dynamic agents," in Proc. Amer. Control Conf., Denver, CO, 2003, pp. 951-956.
27. Y. Igarashi, T. Hatanaka, M. Fujita, andM. Spong, "Passivity-based output synchronization in SE (3)," in Proc. Amer. Control Conf., Seattle, WA, 2008, pp. 723-728.
28. A. Das and F. Lewis, "Distributed adaptive control for synchronization of unknown nonlinear networked systems," Automatica, vol. 46, no. 12, pp. 2014-2021, 2010.
29. J. Wang and D. Cheng, "Consensus of multi-agent systems with higher order dynamics," in Proc. 26th Chin. Control Conf., Hunan, China, 2007, pp. 761-765.
30. X. Li, X. Wang, and G. Chen, "Pinning a complex dynamical network to its equilibrium," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 51, no. 10, pp. 2074-2087, Oct. 2004.
31. Z. Hou, L. Cheng, and M. Tan, "Decentralized robust adaptive control for the multiagent system consensus problem using neural networks," IEEE Trans. Syst. Man, Cybern. B, Cybern., vol. 39, no. 3, pp. 636-647, Jun. 2009.
32. Z. Li, Z. Duan, G. Chen, and L. Huang, "Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 57, no. 1, pp. 213-224, Jan. 2010.
33. S. Tuna, LQR-Based Coupling Gain for Synchronization of Linear Systems, 2008, Arxiv preprint arXiv: 0801.3390.
34. Z. Qu, Cooperative Control of Dynamical Systems: Applications to Autonomous Vehicles. London, U.K.: Springer-Verlag, 2009.
35. Z. Lin, B. Francis, and M. Maggiore, "Necessary and sufficient graphical conditions for formation control of unicycles," IEEE Trans. Autom. Control, vol. 50, no. 1, pp. 121-127, Jan. 2005. (Pubitemid 40173734)
36. W. Ren and R. Beard, Distributed Consensus in Multi-vehicle Cooperative Control: Theory and Applications. London, U.K.: Springer-Verlag, 2008.
37. D. Bernstein, Matrix Mathematics: Theory, Facts, and Formulas, 2nd ed. Princeton, NJ: Princeton Univ. Press, 2009.
38. H. Khalil, Nonlinear Systems, 3rd ed. Upper Saddle River, NJ: Prentice-Hall, 2002.
39. N. Chopra and M. Spong, "Passivity-based control of multi-agent systems," in Advances in Robot Control: From Everyday Physics to Human- Like Movements, S. Kawamura and M. Svinin, Eds. Berlin, Germany: Springer-Verlag, 2006, pp. 107-134.
40. M. Arcak, "Passivity as a design tool for group coordination," IEEE Trans. Autom. Control, vol. 52, no. 8, pp. 1380-1390, Aug. 2007. (Pubitemid 47321551)
41. M. Spong, S. Hutchinson, and M. Vidyasagar, Robot Modeling and Control. New York: Wiley, 2006.
42. F. Lewis, S. Jagannathan, and A. Yeildirek, Neural Network Control of Robot Manipulators and Nonlinear Systems. London, U.K.: Taylor & Francis, 1999.
43. F. Lewis, D. Dawson, and C. Abdallah, Robot Manipulator Control: Theory and Practice, 2nd ed. New York: Marcel Dekker, 2004.
44. J. Rinzel, "A formal classification of bursting mechanisms in excitable systems," in Mathematical Topics in Population Biology, Morphogenesis and Neurosciences, E. Teramoto and M. Yamaguti, Eds. New York: Springer-Verlag, 1987, pp. 267-281.
45. F. Lewis and V. Syrmos, Optimal Control, 2nd ed. New York: Wiley, 1995.