Analytical approximation of open-channel flow for controller design

Litrico, Xavier; Fromion, Vincent

doi:10.1016/j.apm.2003.10.014

Cited by 90 publications

(51 citation statements)

References 12 publications

(16 reference statements)

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“…Several methods currently exist for the solution of the Saint-Venant equations, but all of them have considerable mathematical complexities (Litrico & Fromion, 2004). These are thus often solved numerically by using specific software (e.g., Valipour, 2012;Khasraghi et al, 2015).…”

Section: Dynamic Models Of Irrigation Canals and Identification Processmentioning

confidence: 99%

“…This model has also been used to generate state-space MIMO models of complete canals by Clemmens & Schuurmans (2004) and Montazar et al (2005). Some improvements to the ID model have additionally been proposed by Litrico & Fromion (2004) and Sepulveda (2007). Nonlinear irrigation canal models have also been developed in de Halleux et al (2003) and Dulhoste et al (2004).…”

Section: Introductionmentioning

confidence: 99%

“…Various linear models of irrigation main canal pools currently exist, and are based either on Saint-Venant equations (Schuurmans et al, 1999;de Halleux et al, 2003;Litrico & Fromion, 2004;Wahlin & Clemmens, 2006) or on the use of system identification tools (Weyer, 2001;Cueto-Medina & Rivas-Perez, 2003;Sepulveda, 2007;Rivas-Perez et al, 2008). A review of the main approaches used in the development of models for irrigation main canal pools is carried out in Malaterre & Baume (1998).…”

Section: Introductionmentioning

confidence: 99%

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Fractional-order mathematical model of an irrigation main canal pool

Calderon-Valdez

Feliu-Batlle

Rivas-Pérez

2015

Span. j. agric. res.

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In this paper a fractional order model for an irrigation main canal is proposed. It is based on the experiments developed in a laboratory prototype of a hydraulic canal and the application of a direct system identification methodology. The hydraulic processes that take place in this canal are equivalent to those that occur in real main irrigation canals and the results obtained here can therefore be easily extended to real canals. The accuracy of the proposed fractional order model is compared by deriving two other integer-order models of the canal of a complexity similar to that proposed here. The parameters of these three mathematical models have been identified by minimizing the Integral Square Error (ISE) performance index existing between the models and the real-time experimental data obtained from the canal prototype. A comparison of the performances of these three models shows that the fractional-order model has the lowest error and therefore the higher accuracy. Experiments showed that our model outperformed the accuracy of the integer-order models by about 25%, which is a significant improvement as regards to capturing the canal dynamics.Additional key words: prototype hydraulic canal; system identification; parameter estimation; canals automation; management of water resources.

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Section: Dynamic Models Of Irrigation Canals and Identification Processmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fractional-order mathematical model of an irrigation main canal pool

Calderon-Valdez

Feliu-Batlle

Rivas-Pérez

2015

Span. j. agric. res.

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“…Where p 21 and p 22 represent low frequency approximations of the pool transfer functions defined in (Litrico and Fromion, 2004).…”

Section: Global Approach: Application Of Dynamic Data Reconciliationmentioning

confidence: 99%

Static and Dynamic Data Reconciliation for an Irrigation Canal

Bedjaoui

Litrico

Koenig

et al. 2008

J. Irrig. Drain Eng.

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This paper deals with the problem of fault detection and isolation in irrigation canals. We develop a method which combines static and dynamic data reconciliation for the validation of measurements, detection and isolation of sensors and actuator faults and reconstruction of missing data. Static data reconciliation uses static models at a regulation gate to validate measurements and detect sensor and actuator faults. It also enabled us to detect a drift in the stage discharge rating curve. The dynamic data reconciliation uses additional measurements and a dynamic model of the canal in order to validate measurements and detect faults and withdrawals. The combination of the two methods allowed us to distinguish between withdrawals and faults. Both methods are evaluated on measurements from a real irrigation canal located in the South of France.

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“…The IDZ model can be obtained from the geometrical characteristics of the canal reach. Details about the calculation of the model parameters can be found in [28] and [27]. The model is a linear model, therefore the quantities to calcualte the model should be linearized around an equilibrium regime.…”

Section: Introductionmentioning

confidence: 99%

Enhancing Inland Navigation by Model Predictive Control of Water Levels: The Cuinchy-Fontinettes Case

Horváth

Rajaoarisoa

Duviella

et al. 2015

Operations Research/Computer Science Interfaces Series

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Navigation canals are used for transport purposes. In order to allow safe navigation the water level should be kept in a certain range around the Normal Navigation Level (NNL). The water level is disturbed by known and unknown inputs, like tributaries, municipal water flows, rain, etc. Some of these inputs can be used to control the water level. If the geometry requires it, canal reaches are connected by locks. The operation of these locks sometimes can disturb the water level, if the difference between the upstream and downstream water level is large. The objective is to minimize the disturbances caused by these lock operations on the water level in order to maintain the NNL. In this work the global management of the canal reach is discussed and an option to maintain the NNL by active control is introduced. Some inputs to the system, such as other confluences or gates on the side of the locks, can be controlled automatically to react to the disturbances caused by the lock operations using model predictive control to maintain the desired water level.

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Analytical approximation of open-channel flow for controller design

Cited by 90 publications

References 12 publications

Fractional-order mathematical model of an irrigation main canal pool

Fractional-order mathematical model of an irrigation main canal pool

Static and Dynamic Data Reconciliation for an Irrigation Canal

Enhancing Inland Navigation by Model Predictive Control of Water Levels: The Cuinchy-Fontinettes Case

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