Objective prioritization using lexicographic minimizers for MPC of sewer networks

IEEE Transactions on Control Systems Technology

Volumn 16, Issue 1, 2008, Pages 113-121

  Ocampo Martinez, Carlos ^a   Ingimundarson, Ari ^a   Puig, Vicenç ^a   Quevedo, Joseba ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Convex optimization; Lexicographic programming; Model predictive control (MPS); Multiobjective programming; Sewer networks; Urban drainage

Indexed keywords

DRAINAGE; MULTIOBJECTIVE OPTIMIZATION; SEWERS;

LEXICOGRAPHIC PROGRAMMING; MULTIOBJECTIVE PROGRAMMING; SEWER NETWORK;

MODEL PREDICTIVE CONTROL;

EID: 37749003107     PISSN: 10636536     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCST.2007.899741     Document Type: Article

References (23)

1. M. Gelormino and N. Ricker, "Model-predictive control of a combined sewer system," Int. J. Control, vol. 59, pp. 793-816, 1994.
2. M. Pleau, F. Methot, A. Lebrun, and A. Colas, "Minimizing combined sewer overflow in real-time control applications," Water Quality Res. J. Canada, vol. 31, no. 4, pp. 775-786, 1996.
3. M. Pleau, H. Colas, P. Lavallée, G. Pelletier, and R. Bonin, "Global optimal real-time control of the Quebec urban drainage system," Environ. Model. Softw., vol. 20, pp. 401-413, 2005.
4. M. Marinaki and M. Papageorgiou, Optimal Real-time Control of Sewer Networks. New York: Springer, 2005.
5. M. Marinaki and M. Papageorgiou, "Central flow control in sewer networks," J. Water Res., Plan. Managem., vol. 123, no. 5, pp. 274-283, 1997.
6. M. Marinaki and M. Papageorgiou, "Rolling-horizon optimal control of sewer networks," in Proc. IEEE Int. Conf. Control Appl., 2001, pp. 594-599.
7. S. Duchesne, A. Mailhot, and J. Villeneuve, "Global predictive real-time control of sewers allowing surcharged flows," J. Environm. Eng., vol. 130, no. 5, pp. 526-534, 2004.
8. B. T. Walhin, "Performance of model predictive control on asce test canal 1" J. Irrig. Drainage Eng., vol. 130, pp. 227-238, 2004.
9. M. Schütze, A. Campisanob, H. Colas, W. Schillingd, and P. Vanrolleghem, "Real time control of urban wastewater systems: Where do we stand today?," J. Hydrology, vol. 299, pp. 335-348, 2004.
10. M. Tyler and M. Morari, "Propositional logic in control and monitoring problems," Automatica, vol. 35, pp. 565-582, 1999.
11. E. Kerrigan and J. Maciejowski, "Designing model predictive controllers with prioritised constraints and objectives," in Proc. IEEE Int. Symp. Comput.-Aided Control Syst. Des., 2002, pp. 33-38.
12. J. Vada, O. Slupphaug, T. A. Johansen, and B. A. Foss, "Linear MPC with optimal prioritized infeasibility handling: Application, computational issues and stability," Automatica, vol. 37, pp. 1835-1843, 2001.
13. S. Duchesne, A. Mailhot, E. Dequidt, and J. Villeneuve, "Mathematical modeling of sewers under surcharge for real time control of combined sewer overflows," Urban Water, vol. 3, pp. 241-252, 2001.
14. M. Marinaki and M. Papageorgiou, "Nonlinear optimal flow control for sewer networks," in Proc. Amer. Control Conf., 1998, pp. 1289-1293.
15. F. Previdi, M. Lovera, and S. Mambretti, "Identification of the rainfall-runoff relationship in urban drainage networks," Control Eng. Practice, vol. 7, pp. 1489-1504, 1999.
16. K. Smith and G. Austin, "Nowcasting precipitation - A proposal for a way forward," J. Hydrology, vol. 239, pp. 34-45, 2000.
17. J. M. Yuan, K. A. Tilford, H. Y. Jiang, and I. D. Cluckie, "Real-time urban drainage system modelling using weather radar rainfall data," Phys. Chem. Earth (B), vol. 24, pp. 915-919, 1999.
18. V. P. Singh, Hydrologic Systems: Rainfall-Runoff Modeling. Englewood Cliffs, NJ: Prentice-Hall, 1988, vol. I.
19. J. Maciejowski, Predictive Control with Constraints. Englewood Cliffs, NJ: Prentice-Hall, 2002.
20. K. Miettinen, Non-Linear Multiobjective Optimization. Norwell, MA: Kluwer, 1999.
21. E. Kerrigan, A. Bemporad, M. Mignone, M. Morari, and J. Maciejowski, "Multi-objective prioritization and reconfiguration for the control of constrained hybrid systems," in Proc. Amer. Control Conf., 2000, pp. 1694-1698.
22. L. Ljung, System Identification - Theory for the User, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 1999.
23. L. W. Mays, Urban Stormwater Management Tools. New York:MCGraw-Hill, 2004.