A way to deal with nonlinear boundary conditions in open-channel optimal control problems

Proceedings of the IEEE Conference on Decision and Control

Volumn 1, Issue , 2003, Pages 336-341

  Ouarit, Hicham ^a   Lefèvre, Laurent ^a   Georges, Didier ^a   Begovich, Ofelia ^b  

^a CNRS   (France)

^b UNIDAD GUADALAJARA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CLOSED LOOP CONTROL SYSTEMS; COMMUNICATION SYSTEMS; MATHEMATICAL MODELS; NONLINEAR CONTROL SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

OPEN-CHANNEL HYDRAULIC SYSTEMS; TRANSFER ERROR MATRIX;

OPTIMAL CONTROL SYSTEMS;

EID: 1542359126     PISSN: 01912216     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. Baume J.-P., J. Sau and P.-O. Malaterre, "Modelling of irrigation channel dynamics for controller design", in Proc. IEEE, 1998, pp. 3856-3861.
2. A. Quarteroni, A. A Valli, "Numerical Approximation of Partial Differential Equations", Springer, Germany, 1997.
3. Chow V.T., "Open channel hydraulics", Me Graw Hill, New-York, 1985.
4. Bounit H., Hammouri H. and J. Sau, "Regulation of an irrigation channel through the semigroup approach", in Proc. of the Workshop on regulation and irrigation canals RIC'97, Marrakesh, Morocco, 1997, pp. 261-267.
5. Xu C.Z., "Linear symmetric hyperbolic systems and application to boundary PI-control of the Saint-Venant equations", in Proc. of MTNS'2000, Perpignan, France, 2000.
6. Coron J.M., D'Andréa-Novel B. and G. Bastin, "A Lyapunov approach to control irrigation canals modelled by Saint-Venant equations", in Proc. of ECC, 1999.
7. Chen M.-L. and D. Georges, "Nonlinear optimal control of an open-channel hydraulic system based on an infinite-dimensional model", in Proc. of IEEE CDC, 1999.
8. J. A. Cunge, Jr. F. M. Holloy, and A. Verwey. "Practical aspects of computational river hydraulics". Oitman, London, 1980.
9. M. Morari, E. Zafiriou. "Robust Precess Control", Prentice-Hall, 1989.
10. N. A. Lehtomaki, N. R. Sandell, M. Athans. "Robustness Results in Linear Quadratic Gaussian Based Multivariable Control Designs", IEEE Trans. Automatic Control, Vol. 26, 1981.
11. J. C. Doyle, B. Francis, A. Tannenbum. "Feedback Control Theory", McMillan Publishing Co., 1991.
12. Gupta N. K., "Frequency-Shaped Cost Functionals: Extensions of Linear Quadratic Gaussian Design Methods", in J. Of Guidance & Control, vol. 3, 1980.
13. Moore J.B. and D. L. Mingori, "Robust Frequency-Shaped LQ Control", in Automatica, vol. 23, n°5, 1987.