Robust distributed model predictive control of constrained continuous-time nonlinear systems using two-layer invariant set

Proceedings of the American Control Conference

Volumn , Issue , 2014, Pages 5602-5607

  Liu, Xiaotao ^a   Shi, Yang ^a   Constantinescu, Daniela ^a  

^a UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Large scale systems; Predictive control for nonlinear systems; Robust control

Indexed keywords

COST FUNCTIONS; LARGE SCALE SYSTEMS; PREDICTIVE CONTROL SYSTEMS; ROBUST CONTROL;

COMMUNICATION TOPOLOGIES; CONTINUOUS TIME NONLINEAR SYSTEMS; CONTROL STRATEGIES; DISTRIBUTED MODEL PREDICTIVE CONTROL; EXTERNAL DISTURBANCES; INFORMATION EXCHANGES; PREDICTIVE CONTROL; ROBUST POSITIVELY INVARIANT SET;

NONLINEAR SYSTEMS;

EID: 84905709069     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2014.6858906     Document Type: Conference Paper

References (27)

1. W. Ren, and R. W. Beard, Distributed Consensus in Multi-vehicle Cooperative Control: Theory and Application. Springer-Verlag, London, 2008.
2. P. D. Christofides, J. Liu, and D. M. de la Peña, Networked and Distributed Predictive Control. Springer-Verlag, London, 2011.
3. L. D. Baskar, B. D. Schutter, and H. Hellendoorn, "Traffic management for automated highway systems using model-based predictive control", IEEE Transactions on Intelligent Transportation Systems, vol. 13, no. 2, pp. 838-847, June 2012.
4. D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. M. Scokaert, "Constrained model predictive control: Stability and optimality", Automatica, vol. 36, no. 6, pp. 789-814, June 2000.
5. R. Scattolini, "Architecture for distributed and hierarchical model predictive control", Journal of Process Control, vol. 19, no. 5, pp. 723-731, May 2009.
6. W. Al-Gherwi, H. Budman, and A. Elkamel, "Robust distributed model predictive control: A review and recent developments", The Canadian Journal of Chemical Engineering, vol. 89, no. 5, pp. 1176-1189, October 2011.
7. P. D. Christofides, R. Scattolini, D. M. de la Peña, and J. Liu, "Distributed model predictive control: A tutorial review and future research directions", Computer and Chemical Engineering, vol. 51, no. 5, pp. 21-41, April 2013.
8. W. B. Dunbar, "Distributed receding horizon control for dynamically coupled nonlinear systems", IEEE Transactions on Automatic Control, vol. 52, no. 7, pp. 1249-1263, July 2007.
9. B. T. Stewart, A. N. Venkat, J. B. Rawlings, S. J. Wright, and G. Pannocchia, "Cooperative distributed model predictive control", Systems & Control Letters, vol. 59, no. 8, pp. 460-469, August 2010.
10. B. T. Stewart, S. J. Wright, and J. B. Rawlings, "Cooperative distributed model predictive control for nonlinear systems", Journal of Process Control, vol. 21, no. 5, pp. 698-704, June 2011.
11. R. D. Gudi, and J. B. Rawlings, "Identification for decentralized model predictive control", AIChE Journal, vol. 52, no. 6, pp. 2198-2210, June 2006.
12. B. T. Stewart, J. B. Rawlings, and S. J. Wright, "Hierarchical cooperative distributed model predictive control", Proceedings of American Control Conference, Baltimore, MD, USA, pp. 3963-3968, 2010.
13. D. Jia, and B. H. Krogh, "Min-max feedback model predictive control for distributed control with communication", Proceedings of American Control Conference, Anchorage, AK, USA, pp. 4507-4512, 2002.
14. L. Magni, and R. Scattolini, "Stabilizing decentralized model predictive control of nonlinear systems", Automatica, vol. 42, no. 7, pp. 1231-1236, July 2006.
15. M. Farina, and R. Scattolini, "Distributed predictive control: A noncooperative algorithm with neighbor-to-neighbor communication for linear systems", Automatica, vol. 48, no. 6, pp. 1088-1096, June 2012.
16. W. M. Dunbar, and R. M. Murray, "Distributed receding horizon control for multi-vehicle formation stabilization", Automatica, vol. 42, no. 4, pp. 549-558, April 2006.
17. A. Richards, and J. How, "Robust distributed model predictive control", International Journal of Control, vol. 80, no. 9, pp. 1517-1531, September 2007.
18. P. Trodden, and A. Richards, "Distributed model predictive control of linear systems with persistent disturbances", International Journal of Control, vol. 83, no. 8, pp. 1653-1663, June 2010.
19. P. Trodden, and A. Richards, "Cooperative distributed MPC of linear systems with coupled constraints", Automatica, vol. 49, no. 2, pp. 479-487, February 2013.
20. W. B. Dunbar, and D. S. Caveney, "Distributed receding horizon control of vehicle platoons: Stability and string stability", IEEE Transactions on Automatic Control, vol. 57, no. 3, pp. 620-633, May 2012.
21. T. Keviczky, F. Borrelli, and G. J. Balas, "Decentralized receding horizon control for large scale dynamically decoupled systems", Automatica, vol. 42, no. 12, pp. 2105-2115, December 2006.
22. T. Keviczky, F. Borrelli, D. Godbole, and G. J. Balas, "Decentralized receding horizon control and coordination of autonomous vehicle formations", IEEE Transactions on Control System Technology, vol. 19, no. 1, pp. 19-33, January 2008.
23. E. Ranco, and L. Magni, "Cooperative constrained control of distributed agents with nonlinear dynamics and delayed information exchange: A stabilizing receding horizon approach", IEEE Transactions on Automatic Control, vol. 53, no. 1, pp. 324-338, February 2008.
24. C. Wang, and C. Ong, "Distributed decentralized model predictive control of dynamically decoupled systems with coupled cost", Automatica, vol. 46, no. 12, pp. 2053-2058, December 2010.
25. H. Chen and F. Allgöwer, "A quasi-infinite horizon nonlinear model predictive control scheme with guaranteed stability", Automatica, vol. 34, no. 10, pp. 1205-1217, October 1998.
26. H. Li, and Y. Shi, "Distributed model predictive control of constrained continuous-time nonlinear systems: A robustness constraint approach", IEEE Transactions on Automatic Control, Submitted, 2013.
27. D. L. Marruedo, T. Álamo, and E. F. Camacho, "Input-to-state stable MPC for constrained discrete-time nonlinear systems with bounded additive uncertainties", Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, Nevada, USA, pp. 4619-4624, 2002.