Adaptive cooperation in robust distributed model predictive control

Proceedings of the IEEE International Conference on Control Applications

Volumn , Issue , 2009, Pages 896-901

  Trodden, Paul ^a   Richards, Arthur ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE COOPERATION; BOUNDED DISTURBANCES; COUPLING CONSTRAINTS; DISTRIBUTED MODEL PREDICTIVE CONTROL; TIME STEP;

PREDICTIVE CONTROL SYSTEMS;

MODEL PREDICTIVE CONTROL;

EID: 74049138699     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCA.2009.5280964     Document Type: Conference Paper

References (23)

1. E. Camponogara, D. Jia, B. H. Krogh, and S. Talukdar, "Distributed model predictive control," IEEE Contr. Syst. Mag., vol. 22, no. 1, pp. 44-52, 2002.
2. P. Trodden and A. Richards, "Robust distributed model predictive control with cooperation," in Proc. Eur. Contr. Conf., 2007.
3. T. Keviczky, F. Borrelli, and G. J. Balas, "Decentralized receding horizon control for large scale dynamically decoupled systems," Automatica, vol. 42, pp. 2105-2115, 2006.
4. Y. Kuwata and J. P. How, "Decentralized cooperative trajectory optimization for UAVs with coupling constraints," in Proc. IEEE Conf. Dec. Contr., 2006, pp. 6820-6825.
5. S. L. Waslander, G. Inalhan, and C. J. Tomlin, "Decentralized optimization via Nash bargaining," in Theory and Algorithms for Cooperative Systems. World Scientific, 2004, ch. 1, pp. 1-21.
6. A. N. Venkat, I. A. Hiskens, J. B. Rawlings, and S. J. Wright, "Distributed MPC strategies with application to power system automatic generation control," IEEE T. Contr. Syst. T., pp. 1192-1206, 2008.
7. W. B. Dunbar and R. M. Murray, "Distributed receding horizon control for multi-vehicle formation stabilization," Automatica, vol. 42, pp. 549-558, 2006.
8. W. B. Dunbar, "Distributed receding horizon control of dynamically coupled nonlinear systems," IEEE T. Automat. Contr., vol. 52, pp. 1249-1263, 2007.
9. L. Giovanini and J. Balderud, "Game approach to distributed model predictive control," in Proc. Int. Contr. Conf., 2006.
10. A. Richards and J. P. How, "Robust distributed model predictive control," Int. J. Control, vol. 80, pp. 1517-1531, 2007.
11. A. Richards, K.-V. Ling, and J. Maciejowski, "Robust multiplexed model predictive control," in Proc. Eur. Contr. Conf., 2007.
12. D. M. Raimondo, L. Magni, and R. Scattolini, "Decentralized MPC of nonlinear systems: an input-to-state stability approach," Int. J. Robust Nonlin., vol. 17, pp. 1651-1667, 2007.
13. E. Franco, L. Magni, T. Parisini, M. M. Polycarpou, and R. Scattolini, "Cooperative constrained control of distributed agents with nonlinear dynamics and delayed information exchange," IEEE T. Automat. Contr., vol. 53, pp. 324-338, 2008.
14. J. B. Rawlings and B. T. Stewart, "Coordinating multiple optimizationbased controllers: New opportunities and challenges," J. Process Contr., vol. 18, pp. 839-845, 2008.
15. R. L. Raffard, C. J. Tomlin, and S. P. Boyd, "Distributed optimization for cooperative agents: Application to formation flight," in Proc. IEEE Conf. Dec. Contr., 2004, pp. 2453-2459.
16. L. Pavel, "An extension of duality to game-theoretic framework," Automatica, vol. 43, pp. 226-237, 2007.
17. I. Kolmanovsky and E. G. Gilbert, "Theory and computation of disturbance invariant sets for discrete-time linear systems," Math. Probl. Eng., vol. 4, pp. 317-367, 1998.
18. D. Q. Mayne, M. M. Seron, and S. V. Raković, "Robust model predictive control of constrained linear systems with bounded disturbances," Automatica, vol. 41, pp. 219-224, 2005.
19. D. Q. Mayne, J. B. Rawlings, C. V. Rao, and P. O. M. Scokaert, "Constrained model predictive control: Stability and optimality," Automatica, vol. 36, pp. 789-814, 2000.
20. P. Trodden, D. Nicholson, and A. Richards, "Distributed model predictive control as a game with coupled constraints," in Proc. Eur. Contr. Conf., 2009 (to appear).
21. R. Merris, Graph Theory. Wiley-Interscience, 2001.
22. S. V. Raković, E. C. Kerrigan, K. I. Kouramas, and D. Q. Mayne, "Invariant approximations of the minimal robust positively invariant set," IEEE T. Automat. Contr., vol. 50, pp. 406-410, 2005.
23. M. Kvasnica, P. Grieder, and M. Baotić, "Multi-parametric toolbox (MPT)," ETH Zurich, 2006, v2.6.2. [Online]. Available: http://control.ee.ethz.ch/~mpt/