Optimal design for synchronization of cooperative systems: State feedback, observer and output feedback

IEEE Transactions on Automatic Control

Volumn 56, Issue 8, 2011, Pages 1948-1952

  Zhang, Hongwei ^a   Lewis, Frank L ^a   Das, Abhijit ^a  

^a UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

Author keywords

Cooperative control; duality; linear systems; observer; output feedback; Synchronization

Indexed keywords

CLASSICAL SYSTEMS; CO-OPERATIVE CONTROL; COOPERATIVE SYSTEMS; COOPERATIVE TRACKING; DUALITY; DYNAMIC OUTPUT FEEDBACK CONTROL; FULL STATE FEEDBACK; LINEAR QUADRATIC REGULATOR; NETWORKED SYSTEMS; OBSERVER; OBSERVER DESIGN; OPTIMAL CONTROLS; OPTIMAL DESIGN; OUTPUT FEEDBACK; SPANNING TREE; TECHNICAL NOTES; TRACKING TRAJECTORY;

DESIGN; FEEDBACK CONTROL; GRAPH THEORY; LINEAR SYSTEMS; OBSERVABILITY; OPTIMIZATION; PARALLEL ARCHITECTURES; PLANT EXTRACTS; SYNCHRONIZATION;

STATE FEEDBACK;

EID: 80051540957     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2011.2139510     Document Type: Article

References (24)

1. 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.
2. 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)
3. 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.
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, no. 6, pp. 988-1001, Jun. 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, Sep. 2004.
6. 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)
7. J. Tsitsiklis, "Problems in Decentralized Decision Making and Computation," Ph.D. dissertation, Dept. Elect. Eng. Comp. Sci., MIT, Cambridge, MA, 1984.
8. 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)
9. Y. Hong, J. Hu, and L. Gao, "Tracking control for multi-agent consensus with an active leader and variable topology," Automatica, vol. 42, no. 7, pp. 1177-1182, 2006. (Pubitemid 43767488)
10. X. Li, X. Wang, and G. Chen, "Pinning a complex dynamical network to its equilibrium," IEEE Trans. Circuits Syst. I, vol. 51, no. 10, pp. 2074-2087, Oct. 2004.
11. X. Wang and G. Chen, "Pinning control of scale-free dynamical networks," Physica A, vol. 310, no. 3-4, pp. 521-531, 2002. (Pubitemid 34716166)
12. 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, 2007. (Pubitemid 47549402)
13. 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, vol. 57, no. 1, pp. 213-224, Jan. 2010.
14. Z. Qu, Cooperative Control of Dynamical Systems: Applications to Autonomous Vehicles. London, U.K.: Springer-Verlag, 2009.
15. L. Scardovi and R. Sepulchre, "Synchronization in networks of identical linear systems," Automatica, vol. 45, no. 11, pp. 2557-2562, 2009.
16. J. Seo, H. Shim, and J. Back, "Consensus of high-order linear systems using dynamic output feedback compensator: low gain approach," Automatica, vol. 45, no. 11, pp. 2659-2664, 2009.
17. 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, 2008. (Pubitemid 351273695)
18. S. Tuna, "LQR-Based Coupling Gain for Synchronization of Linear Systems," Ithaca, NY, 2008, pp. 1-9 [Online]. Available: http://arxiv. org/PS-cache/arxiv/pdf/0801/0801.3390v1.pdf
19. F. Harary, R. Norman, and D. Cartwright, Structural Models: An Introduction to the Theory of Directed Graphs. New York: Wiley, 1965.
20. J. Essam and M. Fisher, "Some basic definitions in graph theory," Rev. Mod. Phys., vol. 42, no. 2, pp. 272-288, 1970.
21. S. Khoo, L. Xie, and Z. Man, "Robust finite-time consensus tracking algorithm for multirobot systems," IEEE Trans. Mechatron., vol. 14, no. 2, pp. 219-228, Apr. 2009.
22. F. Lewis and V. Syrmos, Optimal Control, 2nd ed. New York:Wiley, 1995.
23. C. Chen, Linear System Theory and Design. New York: Holt, Rinehart and Winston, 1984.
24. Z. Duan, G. Chen, and L. Huang, "Disconnected synchronized regions of complex dynamical networks," IEEE Trans. Autom. Control, vol. 54, no. 4, pp. 845-849, Apr. 2009.