Distributed cooperative tracking for multiple second-order nonlinear systems using only relative position measurements

Proceedings of the 2012 24th Chinese Control and Decision Conference, CCDC 2012

Volumn , Issue , 2012, Pages 3342-3347

  Meng, Ziyang ^a   Lin, Zongli ^a,b  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b UNIVERSITY OF VIRGINIA   (United States)

Author keywords

continuously differentiable; networked second order nonlinear systems; output feedback

Indexed keywords

CONTINUOUSLY DIFFERENTIABLE; CONTROL GOALS; CONTROL INPUTS; COOPERATIVE TRACKING; FOLLOWER DYNAMICS; GLOBALLY EXPONENTIALLY STABLE; OBSERVER OUTPUT; OUTPUT FEEDBACK; RELATIVE INFORMATION; RELATIVE POSITION MEASUREMENT; SECOND-ORDER NONLINEAR SYSTEMS; THEORETICAL RESULT; TIME VARYING;

DYNAMICS; POSITION MEASUREMENT;

NONLINEAR SYSTEMS;

EID: 84866682722     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCDC.2012.6244531     Document Type: Conference Paper

References (25)

1. F. Xiao, L. Wang, J. Chen, and Y. Gao, "Finite-time formation control for multi-agent systems," Automatica, vol. 45, no. 11, pp. 2606-2611, 2009.
2. Y. Cao, W. Ren, and Z. Meng, "Decentralized finite-time sliding mode estimators and their applications in decentralized finite-time formation tracking," Systems & Control Letters, vol. 59, no. 9, pp. 522-529, 2010.
3. Z. Meng, W. Ren, and Z. You, "Distributed finite-time attitude containment control for multiple rigid bodies," Automatica, vol. 46, no. 12, pp. 2092-2099, 2010.
4. F. Bullo, J. Cortes, and S. Martinez, Distributed control of robotic networks. Princeton: Princeton University Press, 2009.
5. Z. Meng, Z. Lin, and W. Ren, "Leader-follower swarm tracking for networked lagrange systems," Systems & Control Letters, vol. 61, no. 1, pp. 117-126, 2012.
6. W. Ren, "Multi-vehicle consensus with a time-varying reference state," Systems and Control Letters, vol. 56, no. 7-8, pp. 474-483, 2007.
7. 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.
8. 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.
9. Y. Cao and W. Ren, "Distributed coordinated tracking via a variable structure approach - part i: Consensus tracking," in 2010 American Control Conference, Marriott Waterfront, Baltimore, MD, USA, 2010, pp. 4744-4749.
10. J. Li, W. Ren, and S. Xu, "Distributed coordinated tracking with multiple dynamic leaders for double-integrator agents using only position measurements," in 2011 American Control Conference, O' Farrell Street, San Francisco, CA, USA, 2011, pp. 2192-2197.
11. J.-J. E. Slotine and W. Li, Applied Nonlinear Control. New Jersey: Prentice Hall: Englewood Cliffs, 1991.
12. W. Yu, G. Chen, and M. Cao, "Consensus in directed networks of agents with nonlinear dynamics," IEEE Transactions on Automatic Control, vol. 56, no. 6, pp. 1436-1441, 2011.
13. W. Yu, G. Chen, M. Cao, and J. Kruths, "Second-order consensus for multiagent systems with directed topologies and nonlinear dynamics," IEEE Transactions on Systems, Man, and Cybernetics-Part B: Cybernetics, vol. 40, no. 3, pp. 881-891, 2010.
14. Z. Li, X. Liu, and M. Fu, "Global consensus control of Lipschitz nonlinear multi-agent systems," in the 18th IFAC World Congress, Milano, Italy, 2011, pp. 10 056-10 061.
15. H. Su, G. Chen, X. Wang, and Z. Lin, "Adaptive second-order consensus of networked mobile agents with nonlinear dynamics," Automatica, vol. 47, no. 2, pp. 368-375, 2011.
16. Q. Song, J. Cao, and W. Yu, "Second-order leader-following consensus of nonlinear multi-agent systems via pinning control," Systems and Control Letters, vol. 59, no. 9, pp. 553-562, 2010.
17. A. Das and F. L. Lewis, "Distributed adaptive control for synchronization of unknown nonlinear networked systems," Automatica, vol. 46, no. 12, pp. 2014-2021, 2010.
18. --, "Cooperative adaptive control for synchronization of second-order systems with unknown nonlinearities," International Journal of Robust and Nonlinear Control, vol. 21, no. 13, pp. 1509-1524, 2011.
19. D. Rosas, J. Alvarez, and E. Alvarez, "Robust synchronization of arrays of uncertain nonlinear second-order dynamical systems," Nonlinear Dynamics, vol. 67, no. 4, pp. 2735-2746, 2011.
20. J. Davila, L. Fridman, and A. Levant, "Second-order sliding-mode observer for mechanical systems," IEEE Transactions on Automatic Control, vol. 50, no. 11, pp. 1785-1789, 2005.
21. J. A. Moreno and M. Osorio, "A Lyapunov approach to second-order sliding mode controllers and observers," in Proceedings of 47th IEEE Conference on Decision and Control, Cancun, Mexico, 2008, pp. 2856-2861.
22. W. Ren and Y. Cao, Distributed Coordination of Multi-agent Networks: Emergent Problems, Models, and Issues. Springer, 2011.
23. H. K. Khalil, Nonlinear systems. Prentice Hall, 2002.
24. B. Xian, D. M. Dawson, M. S. de Queiroz, and J. Chen, "A discontinuous output feedback controller and velocity observer for nonlinear mechanical systems," Automatica, vol. 40, no. 4, pp. 695-700, 2004.
25. -, "A continuous asymptotic tracking control strategy for uncertain nonlinear systems," IEEE Transactions on Automatic Control, vol. 49, no. 7, pp. 1206-1211, 2004.