Modelling of irrigation channel dynamics for controller design

Baume, Jean-Pierre; Sau, Jacques; Malaterre, Pierre‐Olivier

doi:10.1109/icsmc.1998.726689

Cited by 39 publications

(36 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The proposed linear network model is constructed on the basis of analytical solutions to the Linearized Saint-Venant equations (LSVE) in the frequency domain [9] [12] [4]. With the assumption of a backwater curve model [22], a more realistic transfer matrix function has been introduced [16], which we use in the present article.…”

Section: Introductionmentioning

confidence: 99%

Data reconciliation of an open channel flow network using modal decomposition

Wu¹,

Litrico²,

Bayen³

2009

Advances in Water Resources

View full text Add to dashboard Cite

This article presents a method to estimate flow variables for an open channel network governed by the linearized Saint-Venant equations and subject to periodic forcing. The discharge at the upstream end of the system and the stage at the downstream end of the system are defined as the model inputs; the flow properties at selected internal locations, as well as the other external boundary conditions, are defined as the outputs. Both inputs and outputs are affected by noise and we use the model to estimate this data. A spatially-dependent transfer matrix in the frequency domain is constructed to relate the model input and output using modal decomposition. A data reconciliation technique is used to incorporate the error in the measured data and results in a set of reconciliated external boundary conditions; subsequently, the flow properties at any location in the system can be accurately constructed from the input measurements. The applicability and effectiveness of the method is demonstrated with a case study of the river flow subject to tidal forcing in the Sacramento-San Joaquin Delta, in California. We used existing USGS sensors in place in the Delta as measurement points, and deployed our own sensors at selected locations to produce data used for the validation. The proposed method gives an accurate estimation of the flow properties at intermediate locations within the channel network.

show abstract

Section: Introductionmentioning

confidence: 99%

Data reconciliation of an open channel flow network using modal decomposition

Wu¹,

Litrico²,

Bayen³

2009

Advances in Water Resources

View full text Add to dashboard Cite

show abstract

“…This canal, corresponding to a part of the Cemagref benchmark canal N.1 (Baume and Sau, 1997), has two identical pools separated by a sluice gate. Each pool is 3000 m long, with a trapezoidal shape, a bottom width of 7 m, a side slope of 1.5, a bottom slope of 0.0001, and a Manning coefficient of 0.02.…”

Section: Comparison Of the Responses To A Step Gate Openingmentioning

confidence: 99%

Conversion from Discharge to Gate Opening for the Control of Irrigation Canals

Litrico

Malaterre

Baume

et al. 2008

J. Irrig. Drain Eng.

Self Cite

View full text Add to dashboard Cite

The paper reviews several methods to convert discharge into gate opening. A control algorithm for one or several reaches of an irrigation canal sometimes uses a discharge as the control action variable even though the device to be manipulated is a gate or a weir. In this case a slave controller has to convert the discharge into a gate opening or a sill elevation in case of a weir. This is usually done by inverting the static relation between discharge and gate opening. An improved method can be based on the characteristics theory to estimate the water levels deviations. However, both methods underestimate the gate opening deviations required to deliver a desired discharge deviation, because water levels vary continuously along time when the gate is operated. The paper proposes a method to take account of this dynamic behavior of the pool-gate interaction by using a simple linear model for the pools dynamics, the IDZ model. The proposed method enables to better estimate the gate opening necessary to get a desired average discharge. The method is evaluated in simulation and on a gate of the Gignac Canal, located in the South of France. A dimensionless analysis of the problem is finally performed to evaluate the methods' applicability.

show abstract

“…It is important to note that the mass center term allows to compensate the slope potential energy of the system (see equation 13). and the last row of the IDA-PBC matching equations (18) lead to the following control laws:…”

Section: B Control Designmentioning

confidence: 99%

Control by interconnection and energy shaping methods of port Hamiltonian models - Application to the shallow water equations

Hamroun

Mendes

Lefèvre

2009

2009 European Control Conference (ECC)

View full text Add to dashboard Cite

Abstract-In this paper a control algorithm for the reduced port-Controlled Hamiltonian model (PCH) of the shallow water equations (PDEs) is developed. This control is developed using the Interconnection and Damping Assignment Passivity Based Control (IDA-PBC) method on the reduced PCH model without the natural dissipation. It allows to assign desired structure and energy function to the closed loop system. The same control law is then derived using an energy shaping method based on Casimir's invariants, associated with a particular conservative interconnection between the boundary variables. This gives a physical interpretation for the designed controller. Finally, a stability analysis of the dissipative system in closed loop with the designed control is done using LaSalle's invariance principle. Simulation results and an experimental validation of the control algorithm on an a micro-canal platform are presented showing the effectiveness of the control law.

show abstract

Modelling of irrigation channel dynamics for controller design

Cited by 39 publications

References 3 publications

Data reconciliation of an open channel flow network using modal decomposition

Data reconciliation of an open channel flow network using modal decomposition

Conversion from Discharge to Gate Opening for the Control of Irrigation Canals

Control by interconnection and energy shaping methods of port Hamiltonian models - Application to the shallow water equations

Contact Info

Product

Resources

About