About modeling and control strategies for scheduling crop irrigation

Kalboussi, Nesrine; Roux, Sébastiên; Boumaza, Kenza; Sinfort, Carole; Rapaport, Alain

doi:10.1016/j.ifacol.2019.11.007

Cited by 15 publications

(20 citation statements)

References 14 publications

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“…If these factors, along with the growth of the crops, are being monitored the cause of the problem can be identified and in some cases steps can be taken to reduce the stress on the crops. Some commonly monitored variables relevant to characterizing and predicting crop growth include light intensity, soil moisture, soil temperature, ambient temperature and humidity [20,21], plant height [22], biomass content, photosynthetic activity, light interception by the crop, leaf area index, leaf water content, canopy cover, and water use [6,18,23]. To predict the fertilizer requirements concentrations of ions, in both the soil and in the crop, is beneficial, these include Na + , K + , Ca 2+ , NH4 + , Cl -, NO3 -, H2PO4 -, SO4 2- [18].…”

Section: B Monitoring Of Crop Growthmentioning

confidence: 99%

Outlining Process Monitoring and Fault Detection in a Wastewater Treatment and Reuse System

Marais

Nordlander

Thorin

et al. 2020

2020 European Control Conference (ECC)

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Process control is an important part of any industrial system. In a wastewater reuse system this remains true. Process monitoring and fault detection (FD) are important to ensure that the control system has access to reliable data which can be used in making decisions about the operation of the process. The reuse scenario being considered in this work is that of utilizing the nutrients from the wastewater as fertilizer to agricultural soil along with using the water for irrigation purposes. This paper identifies variables that are important to the control of the process and should be a focus of monitoring and FD. In wastewater treatment these variables include temperatures, pressures, liquid levels, flow rates, pH, conductivity, biomass content, suspended solids concentration, dissolved oxygen content, total organic carbon, and the concentrations of nitrate and ammonium. The variables of interest in the reuse of nutrients and water for agriculture include soil moisture, ambient conditions, plant height, biomass content, photosynthetic activity of the crop, leaf area and leaf water content, as well as the concentrations of several ions both in the soil and in the plant. Challenges associated with process monitoring and FD specific to the two processes are also discussed, examples of these are the high dimensionality of the problem, the harsh conditions that sensors must operate in and the non-linear relationships between variables. This information will be used in future work when comparing specific FD methods to ensure that methods chosen are capable of overcoming the commonly encountered problems. I. INTRODUCTION One of the UN's sustainable development goals is clean water and sanitation. It states that everyone on the planet should have access to safe drinking water. However, according to Mekonnen & Hoekstra [1], a large part of the global population (66%) live under conditions of severe water scarcity at least 1 month every year. In Europe by 2014

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Section: B Monitoring Of Crop Growthmentioning

confidence: 99%

Outlining Process Monitoring and Fault Detection in a Wastewater Treatment and Reuse System

Marais

Nordlander

Thorin

et al. 2020

2020 European Control Conference (ECC)

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“…An optimal control is considered in [14] to study irrigation plans maximizing the farmers profit, taking into account the cost of the water and the sale prize of the crop. In [8] the aim is maximizing the biomass production at harvesting time, considering a constraint on the total amount of water used. The problem studied is a singular optimal control problem and it is based on a simple crop irrigation model.…”

Section: Introductionmentioning

confidence: 99%

“…Recalling the decomposition (8), this means that μ sing vanishes on [0, T ] and that μ d has possibly two atoms, one at t in and another at t out . Moreover, taking into account (6) and the properties of μ a , we deduce that…”

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confidence: 99%

Analytical Study for Different Extremal State Solutions of an Irrigation Optimal Control Problem with Field Capacity Modes

Lemos-Paião

Lopes

Pinho

2022

Int. J. Appl. Comput. Math

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In this paper we study the problem of daily irrigation of an agricultural crop using optimal control. The dynamics is a model based on field capacity modes, where the state, x, represents the water in the soil and the control variable, u, is the flow rate of water from irrigation. The variation of water in the soil depends on the field capacity of the soil, $$x_{FC}$$ x FC , weather conditions, losses due to deep percolation and irrigation. Our goal is to minimize the amount of water used for irrigation while keeping the crop in a good state of preservation. To enforce such requirement, the state constraint $$x(t) \ge x_{\min }$$ x ( t ) ≥ x min is coupled with the dynamics, where $$x_{\min }$$ x min is the hydrological need of the crop. Consequently, the problem under study is a state constrained optimal control problem. Under some mild assumptions, we consider several basic profiles for the optimal trajectories. Appealing to the Maximum Principle (MP), we characterize analytically the solution and its multipliers for each case. We then illustrate the analytical results running some computational simulations, where the analytical information is used to partially validate the computed solutions. The need to study irrigation strategies is of foremost importance nowadays since 80% of the fresh water used on our planet is used in agriculture.

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“…Nowadays, China's food security problem is outstanding. As the basic guarantee for increasing food production, the rational use and optimal allocation of water resources have become an important issue in agricultural food production [1]. This paper uses the water balance model to study and apply the specific problems of water resources in farmland irrigation areas.…”

Section: Introductionmentioning

confidence: 99%

Ecological balance model of effective utilization of agricultural water resources based on fractional differential equations

2021

Applied Mathematics and Nonlinear Sciences

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Water is a key factor that controls the evolution of the ecosystem and restricts social and economic development. The rational allocation of water resources is the basis for the basin's sustainable use of water resources. The article uses fractional differential equations to discuss the increasingly prominent contradictions between supply and demand of agricultural water resources, serious pollution and overexploitation, the decline in groundwater level and water quality, low agricultural water efficiency, and serious waste from the perspective of sustainable development. Second, the article classifies the index system of the water resources carrying capacity evaluation model. Finally, model the resource balance of water supply and water demand in the irrigation area. The study found that the water quantity analysis and determination of the irrigation area will have important guiding significance for implementing the irrigation area's continued construction and water-saving transformation. The allocation and utilization of water resources in farmland irrigation areas will tend to be rationalized. This will greatly improve the water-saving efficiency of irrigation districts.

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About modeling and control strategies for scheduling crop irrigation

Cited by 15 publications

References 14 publications

Outlining Process Monitoring and Fault Detection in a Wastewater Treatment and Reuse System

Outlining Process Monitoring and Fault Detection in a Wastewater Treatment and Reuse System

Analytical Study for Different Extremal State Solutions of an Irrigation Optimal Control Problem with Field Capacity Modes

Ecological balance model of effective utilization of agricultural water resources based on fractional differential equations

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