On the study of control effectiveness and computational efficiency of reduced Saint-Venant model in model predictive control of open channel flow

Advances in Water Resources

Volumn 34, Issue 2, 2011, Pages 282-290

  Xu, M ^a   van Overloop, P J ^a   van de Giesen, N C ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Integrator Delay model; Model predictive control; Model reduction; Open channel flow; Proper Orthogonal Decomposition; Saint Venant equations

Indexed keywords

COMPUTATIONAL TIME; CONTROL EFFECTIVENESS; DELAY MODELS; FLOW CHANGES; FLOW DYNAMICS; FLOW RANGES; MODEL REDUCTION; MODEL REDUCTION TECHNIQUES; NUMBER OF STATE; PREDICTION MODEL; PROPER ORTHOGONAL DECOMPOSITIONS; SAINT VENANT EQUATION; SAINT-VENANT; TEST CASE;

COMPUTATIONAL EFFICIENCY; MATHEMATICAL MODELS; OPEN CHANNEL FLOW; PREDICTIVE CONTROL SYSTEMS; WATER MANAGEMENT;

MODEL PREDICTIVE CONTROL;

FLOW MODELING; FLOW STRUCTURE; OPEN CHANNEL FLOW; PRINCIPAL COMPONENT ANALYSIS; SHALLOW-WATER EQUATION; WATER MANAGEMENT;

RICE STRIPE VIRUS;

EID: 78751605960     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2010.11.009     Document Type: Article

References (15)

1. Clemmens A.J., Schuurmans J. Simple optimal downstream feedback canal controllers: theory. J Irrig Drain Eng 2004, 130(1):26-34.
2. Litrico X, Fromion V. Design of structured multivariable controllers for irrigation canals. In: 44th IEEE conference on decision and control, the European control conference, Seville, Spain: 2005. p. 1881-6.
3. Wahlin B.T., Clemmens A.J. Automatic downstream water-level feedback control of branching canal networks: theory. J Irrig Drain Eng 2006, 132:198.
4. Schuurmans J., Bosgra O.H., Brouwer R. Open-channel flow model approximation for controller design. Appl Math Model 1995, 19(9):525-530.
5. Xu M, Van Overloop PJ. On the application of model reduction in model predictive control of open channel flow. In: 9th International conference on hydroinformatics, HIC 2010. Tianjin, China; 2010.
6. Xu M., Van Overloop P.J., Van de Giesen N.C., Stelling G.S. Real-time control of combined surface water quantity and quality: polder flushing. Water Sci Technol 2010, 61(4):869.
7. Simon D. Optimal state estimation: Kalman, H infinity, and nonlinear approaches 2006, John Wiley & Sons, Inc.
8. MATLAB User's Guide. The MathWorks. Inc., Natick, MA: 1998.
9. Stelling G.S., Duinmeijer S.P.A. A staggered conservative scheme for every Froude number in rapidly varied shallow water flows. Int J Numer Meth Fluids 2003, 43:1329-1354.
10. Ravindran S.S. Proper orthogonal decomposition in optimal control of fluids. Int J Numer Meth Fluids 2000, 34(425-448):2.
11. Ha D.M., Lim K.M., Khoo B.C., Willcox K. Real-time optimization using proper orthogonal decomposition: free surface shape prediction due to underwater bubble dynamics. Comput Fluids 2007, 36(3):499-512.
12. Ha D.M., Tkalich P., Chan E.S. Tsunami forecasting using proper orthogonal decomposition method. J Geophys Res-Oceans 2008, 113(C6):C06019.
13. Sirovich L. Turbulence and the dynamics of coherent structures I: Coherent structures. II: Symmetries and transformations. III: Dynamics and scaling. Q Appl Math 1987, 45:561-590.
14. Van Overloop P.J. Model predictive control on open water systems 2006, IOS Press.
15. Clemmens A.J., Kacerek T.F., Grawitz B., Schuurmans W. Test cases for canal control algorithms. J Irrig Drain Eng 1998, 124(1):23-30.