Analytical approximation of open-channel flow for controller design

DOI10.1016/j.apm.2003.10.014zbMath1147.76558OpenAlexW2082078924MaRDI QIDQ1776677

Vincent Fromion, Xavier Litrico

Publication date: 12 May 2005

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2003.10.014

zbMATH Keywords

Laplace transformSaint-Venant equationsAnalytical modelHydraulic modelOpen-channel flow

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

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Lyapunov-based boundary feedback control in multi-reach canals ⋮ A Petrov-Galerkin scheme for modeling 1D channel flow with varying width and topography ⋮ Time-delayed feedback control of a hydraulic model governed by a diffusive wave system ⋮ Further results on the robust regulation of a one-dimensional dam-river system ⋮ Stability analysis and numerical simulations of a one dimensional open channel hydraulic system ⋮ Transient flow control for an artificial open channel based on finite difference method ⋮ Learning and estimation applications of an online homotopy algorithm for a generalization of the LASSO ⋮ MIMO LPV state-space identification of open-flow irrigation canal systems ⋮ Control-Oriented Modeling of Fluid Networks: A Time-Delay Approach ⋮ Inverse optimal design of input-to-state stabilisation for affine nonlinear systems with input delays ⋮ Adaptive predictive expert control of levels in large canals for irrigation water distribution ⋮ Compensation of state-dependent state delay for nonlinear systems ⋮ A data-driven covert attack strategy in the closed-loop cyber-physical systems ⋮ An LPV fractional model for canal control ⋮ Discussion on Muskingum versus integrator-delay models for control objectives

Cites Work

• A control method for speeding up response of hydroelectric station power canals
• Design and robustness analysis of decentralized constant volume-control for open-channels
• Open-channel flow model approximation for controller design
• Robust continuous-time and discrete-time flow control of a dam-river system. I: Modelling
• A sensitivity tradeoff for plants with time delay

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