zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Open-channel flow model approximation for controller design. (English) Zbl 0835.76011
Summary: Open-channel flow is analyzed using the linearized St.-Venant equations. A method is presented to derive an approximation model for an open channel with backwater effects; the approximation model consists of functions that allow the application of the effective control synthesis methods. The accuracy of the approximation models is demonstrated by two examples.

MSC:
76B15Water waves, gravity waves; dispersion and scattering, nonlinear interaction
93C20Control systems governed by PDE
Software:
LINDO
WorldCat.org
Full Text: DOI
References:
[1] Chow, V. T.: Open-channels hydraulics. (1959)
[2] Corriga, G.; Fanni, A.; Sanna, S.; Usai, G.: A constant-volume control method for open-channel operation. Int. J. Mod. simulation 2, 108-112 (1982)
[3] Corriga, G.; Sanna, S.; Usai, G.: Sub-optimal constant-volume control for open-channel networks. Appl. math. Modelling 7, 262-267 (1983) · Zbl 0517.93006
[4] Corriga, G.; Salembeni, D.; Sanna, S.; Usai, G.: A control method for speeding up response of hydroelectric stations power canals. Appl. math. Modelling 12, 627-633 (1988) · Zbl 0661.93049
[5] Ermolin, Y. A.: Study of open-channel dynamics as controlled process. J. hydraul. Eng. 118, No. 1, 59-71 (1992)
[6] Papageorgiou, M.; Messmer, A.: Continous-time and discrete-time design of water flow and water level regulators. Automatica 21, No. 6, 649-661 (1985) · Zbl 0592.93003
[7] Harder, J. A.; Shand, M. J.; Buyalski, C. P.: Automatic downstream control of canal check gates by the hydraulic filter level offset (HYFLO) method. Proceedings of the fifth technical conference (1971)
[8] Schuurmans, W.: Description and evaluation of program MODIS. J. irr. Drainage eng. 119, No. 4, 735-742 (1993)
[9] Abbott, M. B.: Computational hydraulics. (1979) · Zbl 0406.76002