Bounded consensus algorithms for multi-agent systems in directed networks

Asian Journal of Control

Volumn 15, Issue 1, 2013, Pages 282-291

  Du, Haibo ^a,b   Li, Shihua ^a   Ding, Shihong ^c  

^a SOUTHEAST UNIVERSITY   (China)

^b HEFEI UNIVERSITY OF TECHNOLOGY   (China)

^c JIANGSU UNIVERSITY   (China)

Author keywords

asymptotic consensus; bounded control; communication delays; finite time consensus; Multi agent system

Indexed keywords

CLOSED LOOP SYSTEMS; CONTROL THEORY; SOFTWARE AGENTS;

ASYMPTOTIC CONSENSUS; BOUNDED CONTROLS; COMMUNICATION DELAYS; CONSENSUS ALGORITHMS; CONSENSUS PROBLEMS; FINITE-TIME CONSENSUS; NONLINEAR SATURATION; TRANSIENT PERFORMANCE;

MULTI AGENT SYSTEMS;

EID: 84872286870     PISSN: 15618625     EISSN: 19346093     Source Type: Journal    
DOI: 10.1002/asjc.533     Document Type: Article

References (25)

1. Ren, W., and, R. W. Beard, Distributed Consensus in Multivehicle Cooperative Control: Theory and applications, Springer, Berlin (2007).
2. Jadbabaie, A., J. Lin, and, A. S. Morse, " Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Autom. Control, Vol. 48, No. 6, pp. 988-1001 (2003).
3. Olfati-Saber, R., 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).
4. Dong, W., and, J. A. Farrell, " Cooperative control of multiple nonholonomic mobile agents," IEEE Trans. Autom. Control, Vol. 53, No. 6, pp. 1434-1448 (2008).
5. Ren, W., " Distributed attitude alignment in spacecraft formation flying," Int. J. Adapt. Control and Signal Process., Vol. 21, No. 2-3, pp. 95-113 (2007).
6. Du, H., S. Li, and, C. Qian, " Finite-time attitude tracking control of spacecraft with application to attitude synchronization," IEEE Trans. Autom. Control, Vol. 56, No. 11, pp. 2711-2717 (2011).
7. Liu, Y., and, Y. Jia, " Adaptive consensus protocol for networks of multiple agents with nonlinear dynamics using neural networks," Asian J. Control, Published online (2011). DOI: 10.1002/asjc.427.
8. Sun, W., Y. Li, C. Li, and, Y. Chen, " Convergence speed of a fractional order consensus algorithm over undirected scale-free networks," Asian J. Control, Vol. 13, No. 6, pp. 936-946 (2011).
9. Wang, W., and, J. J. E. Slotine, " Contraction analysis of time-delayed communications and group cooperation," IEEE Trans. Autom. Control, Vol. 51, No. 4, pp. 712-717 (2006).
10. Chopra, N., and, M. Spong, " Passivity-based control of multi-agent systems," Advances in Robot Control, pp. 107-134, Springer, Berlin (2006).
11. Liu, C., and, Y. Tian, " Consensus of multi-agent system with diverse communication delays," Proc. 26th Chinese Control Conf., Zhangjiajie, China, pp. 726-730 (2007).
12. Sun, Y., and, L. Wang, " Consensus of multi-agent systems in directed networks with nonuniform time-varying delays," IEEE Trans. Autom. Control, Vol. 54, No. 7, pp. 1607-1613 (2009).
13. Cortes, J., " Finite-time convergent gradient flows with applications to network consensus," Automatica, Vol. 42, No. 11, pp. 1993-2000 (2006).
14. Shi, G., and, Y. Hong, " Distributed coordination of multi-agent systems with switching structure and input saturation," Proc. 48th IEEE Conf. Decis. Control, Shanghai, China, pp. 895-900 (2009).
15. Wang, X., and, Y. Hong, " Finite-time consensus for multi-agent networks with second-order agent dynamics," Proc. IFAC World Congress, Korea, pp. 15185-15190 (2008).
16. Xiao, F., L. Wang, J. Chen, and, Y. Gao, " Finite-time formation control for multi-agent systems," Automatica, Vol. 45, No. 11, pp. 2605-2611 (2009).
17. Wang, L., and, F. Xiao, " Finite-time consensus problems for networks of dynamic agents," IEEE Trans. Autom. Control, Vol. 55, No. 4, pp. 950-955 (2010).
18. Xiao, F., L. Wang, and, J. Chen, " General distributed protocols for finite-time consensus of multi-agent systems," Proc. 48th IEEE Conf. Decis. and Control and 28th Chinese Control Conf., Shanghai, China, pp. 4741-4746 (2009).
19. Li, S., H. D, u, and, X. Lin, " Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics," Automatica, Vol. 47, No. 8, pp. 1706-1712 (2011).
20. Olfati-Saber, R., " Consensus and cooperation in networked multi-agent systems," Proceedings of the IEEE, Vol. 95, No. 1, pp. 215-233 (2007).
21. Hu, T., and, Z. Lin, Control Systems with Actuator Saturation: Analysis and Design, Birkhauser, Basel (2001).
22. Teel, A. R., " Global stabilization and restricted tracking for multiple integrators with bounded controls," Syst. Control Lett., Vol. 18, No. 3, pp. 165-171 (1992).
23. Zhou, B., G. Duan, and, Z. Li, " On improving transient performance in global control of multiple integrators system by bounded feedback," Syst. Control Lett., Vol. 57, No. 10, pp. 867-875 (2008).
24. Ding, S., C. Qian, and, S. Li, " Global stabilization of a class of feedforward systems with lower-order nonlinearities," IEEE Trans. Autom. Control, Vol. 55, No. 3, pp. 691-696 (2010).
25. Ren, W., " Consensus tracking under directed interaction topologies: algorithms and experiments," IEEE Trans. Control Syst. Technol., Vol. 18, No. 1, pp. 230-237 (2010).