A link between riemann invariants and frequency domain approaches for boundary control of open channel flow

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2008, Pages 2093-2098

  Litrico, Xavier ^a   Fromion, Vincent ^b  

^a UMR G EAU   (France)

^b INRA Institut National de la Recherche Agronomique   (France)

Author keywords

[No Author keywords available]

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; FRICTION;

CLASSICAL APPROACH; FREQUENCY DOMAIN APPROACHES; FREQUENCY DOMAINS; FREQUENCY-DOMAIN METHODS; HYPERBOLIC CONSERVATION LAWS; MOTION PLANNING PROBLEMS; RIEMANN INVARIANTS; SAINT VENANT EQUATION;

OPEN CHANNEL FLOW;

EID: 62949098803     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2008.4738889     Document Type: Conference Paper

References (8)

1. M. Abramowitz and I. A. Stegun. Handbook of mathematical functions, volume 55 of Applied Mathematics Series. National Bureau of Standards, 10th edition, 1972.
2. J. de Halleux, C. Prieur, J.-M. Coron, B. d'Andréa Novel, and G. Bastin. Boundary feedback control in networks of open-channels. Automatica, 39:1365-1376, 2003.
3. C. A. Desoer and M. Vidyasagar. Feedback systems: input ouput properties. Academic Press, New York, 1975.
4. X. Litrico and V. Fromion. Boundary control of hyperbolic conservation laws using a frequency domain approach. In Proc. 45th IEEE Conf. on Decision and Control, San Diego, 2006.
5. X. Litrico and V. Fromion. Boundary control of linearized Saint-Venant equations oscillating modes. Automatica, 42(6):967-972, 2006.
6. X. Litrico, V. Fromion, and G. Scorletti. Robust feedforward boundary control of hyperbolic conservation laws. Networks and Heterogeneous Media, 2(4):715-729, 2007.
7. N. Petit, Y. Creff, and P. Rouchon. Dynamics and solutions to some control problems for water-tank systems. IEEE Trans. Automatic Control, 47(4):594-609, 2002.
8. C. Prieur, J. Winkin, and G. Bastin. Boundary control of nonhomogeneous systems of two conservation laws. In Proc. 44th IEEE Conf. on Decision and Control, pages 1899-1904, Sevilla, 2005.