Multivariable Model Predictive Control of Water Levels on a Laboratory Canal

Horváth, Klaudia; Overloop, Peter-Jules van; Galvis, Eduard; Gómez, Manuel; Rodellar, José

doi:10.1007/978-981-4451-42-0_7

Cited by 7 publications

(5 citation statements)

References 5 publications

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“…Model Predictive Control (MPC) is a real-time control technique (Morari et al 1999;Mayne et al 2000) suffering neither the curse of dimensionality nor the curse of modelling, as intended for SDP. MPC has been extensively applied on water systems (van Overloop 2006), mostly for canals (Malaterre et al 1998;Malaterre and Rodellar 1997;van Overloop et al 2014;Horváth et al 2014), river delta (Dekens et al 2014;Tian et al 2015b), also considering quality (Xu et al 2013;Xu et al 2010), transport of water and over water (Tian et al 2013;Tian et al 2015a) and reservoir operation (Raso et al 2014b;Schwanenberg et al 2015;Ficchì et al 2015;Galelli et al 2012;Schwanenberg et al 2014).…”

Section: Introductionmentioning

confidence: 99%

Combining Short-Term and Long-Term Reservoir Operation Using Infinite Horizon Model Predictive Control

Raso

Malaterre

2017

J. Irrig. Drain Eng.

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HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

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Section: Introductionmentioning

confidence: 99%

Combining Short-Term and Long-Term Reservoir Operation Using Infinite Horizon Model Predictive Control

Raso

Malaterre

2017

J. Irrig. Drain Eng.

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“…A nonlinear predictive control based on Saint-Venant equations was presented to regulate both water depth and water flow rate by solving the two-point boundary value problem numerically [11]. A multivariable model predictive controller was discussed and tested on a laboratory canal [12].…”

Section: Introductionmentioning

confidence: 99%

On Modeling and Constrained Model Predictive Control of Open Irrigation Canals

Cen

Chen

et al. 2017

Journal of Control Science and Engineering

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This paper proposes a model predictive control of open irrigation canals with constraints. The Saint-Venant equations are widely used in hydraulics to model an open canal. As a set of hyperbolic partial differential equations, they are not solved explicitly and difficult to design optimal control algorithms. In this work, a prediction model of an open canal is developed by discretizing the Saint-Venant equations in both space and time. Based on the prediction model, a constrained model predictive control was firstly investigated for the case of one single-pool canal and then generalized to the case of a cascaded canal with multipools. The hydraulic software SICC was used to simulate the canal and test the algorithms with application to a real-world irrigation canal of Yehe irrigation area located in Hebei province.

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“…In this work the first and the third option is treated in Chapter 4. The second option was examined in [Horváth et al, 2013b], and in this work is not treated due to the observed delay introduced by the filter.…”

Section: Resonancementioning

confidence: 99%

“…Model predictive control based on the whole set of linearized Saint-Venant equations was implemented in . Distributed model predictive control is implemented numerically in [Igreja et al, 2011] and later experimentally in [Lemos et al, 2012b]. Distributed linear-quadratic-Gaussian (LQG) control [Lemos et al, 2012a] was the latest development.…”

Section: Introductionmentioning

confidence: 99%

Model predictive control of resonance sensitive irrigation canals

Horváth

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Saving water is an economic and ecological need. One way to save water is to reduce losses in irrigation networks by canal automation. The goal of canal automation is to make the right amount of water to at arrive in the right time. In order to achieve this goal, one of the ways is controlling the gates in the irrigation network by some control algorithm. In this work the control of a specific type of canal pools is studied: short and flat pools that are prone to resonance. The downstream water level control of this type of canals is investigated using the example of the 3-reach laboratory canal of the Technical University of Catalonia. Numerical and experimental studies are carried out to investigate the following: the choice of models for predictive control, the possibility to achieve offset-free control while using gravity offtakes and the best choice of control action variables. The objective of this work is to develop a well performing centralized model predictive controller (MPC) for the laboratory canal that is able to handle known and unknown setpoint changes and disturbances, and also to draw further conclusions about controller design for this type of canals. A recently developed model for resonant canals, the Integrator Resonance, is implemented and successfully tested experimentally for the first time. A new method to achieve offset free control for model predictive control is developed and tested numerically and experimentally. A choice of control variables are tested: As opposed to the discharge which is generally used as the control action variable, a state space model is formulated by using the gate opening as control variable without the need of water level measurement downstream of the gates. The results are summarized and conclusions are presented for control of short and flat canals that are prone to resonance.

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Multivariable Model Predictive Control of Water Levels on a Laboratory Canal

Cited by 7 publications

References 5 publications

Combining Short-Term and Long-Term Reservoir Operation Using Infinite Horizon Model Predictive Control

Combining Short-Term and Long-Term Reservoir Operation Using Infinite Horizon Model Predictive Control

On Modeling and Constrained Model Predictive Control of Open Irrigation Canals

Model predictive control of resonance sensitive irrigation canals

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