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.


76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
93C20 Control/observation systems governed by partial differential equations


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