Modelling ventilated bulk storage of agromaterials: A review

Grubben, Nik L.M.; Keesman, Karel J.

doi:10.1016/j.compag.2015.04.011

Cited by 4 publications

(4 citation statements)

References 67 publications

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“…In [23], the authors have investigated the controllability as well as the observability of two-dimensional thermal flow in bulk storage facilities exploiting sensitivity fields. They have considered the convection diffusion reaction (CDR) equation, which describes the dynamics of energy and mass in physical systems such as flow systems, heat exchangers, bulk food storage systems, and almost all kinds of chemical reactions; see [24,25] for details. Physical phenomena, such as the transmission of momentum, energy, mass, etc., occur either inside the system or through its boundaries.…”

Section: Introductionmentioning

confidence: 99%

Controllability and Observability Results of an Implicit Type Fractional Order Delay Dynamical System

Ahmad

Rahman

et al. 2022

Mathematics

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Recently, several research articles have investigated the existence of solutions for dynamical systems with fractional order and their controllability. Nevertheless, very little attention has been given to the observability of such dynamical systems. In the present work, we explore the outcomes of controllability and observability regarding a differential system of fractional order with input delay. Laplace and inverse Laplace transforms, along with the Mittage–Leffler matrix function, are applied to the proposed dynamical system in Caputo’s sense, and a general solution is obtained in the form of an integral equation. Then, we set out conditions for the controllability of the underlying model, regarding the linear case. We then expound controllability conditions for the nonlinear case by utilizing the fixed point result of Schaefer and the Arzola–Ascoli theorem. Using the fixed point concept, we prove the observability of the linear case using the observability Grammian matrix. The necessary and sufficient conditions for the nonlinear case are investigated with the help of the Banach contraction mapping theorem. Finally, we add some examples to elaborate on our work.

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Section: Introductionmentioning

confidence: 99%

Controllability and Observability Results of an Implicit Type Fractional Order Delay Dynamical System

Ahmad

Rahman

et al. 2022

Mathematics

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“…State-of-the-art control in storage facilities aims to maintain temperature, and sometimes humidity, around a certain pre-specified level to prevent rotting and to diminish moisture loss and the effects of ageing. Novel control concepts, however, aim to control product quality directly (Grubben & Keesman, 2015). In addition, it is preferable to have a homogeneous quality in the entire bulk, whilst minimising ventilation costs.…”

Section: Nomenclaturementioning

confidence: 99%

“…1D and 2D) thermal flow in porous media, as in, for example, bulk foodstorage facilities (Grubben & Keesman, 2015). In such systems, flow is often described by the law of conservation of momentum, and continuity equation in one, two or three dimensions (Chourasia & Goswami, 2007).…”

Section: Nomenclaturementioning

confidence: 99%

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Controllability and observability of 2D thermal flow in bulk storage facilities using sensitivity fields

Grubben

Keesman

2017

International Journal of Control

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To control and observe spatially distributed thermal flow systems, the controllable field and observable field around the actuator and sensor are of interest, respectively. For spatially distributed systems, the classical systems theoretical concepts of controllability and observability are, in general, difficult to apply. In this study, sensitivity fields were used to analyse the behaviour from input to state and from initial state to output. For the analysis of controllability and observability, a large-scale, bulk storage facility with coupled thermal flow of air and agro-products was used. Analysis of this system using the classical systems theory results in controllability and observability results that are dependent on the step size of the spatially discretised system. Due to matrix multiplications, inaccurate results are calculated if the step size is too small. Our findings indicate that input-state and initial-state output sensitivity fields provide sufficient information about the controllability and observability of large coupled spatially distributed systems, using finite-dimensional state space representation with small discretisation steps.

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Postharvest quality development of frying potatoes in a large-scale bulk storage facility

Grubben

Witte

Keesman

2019

Postharvest Biology and Technology

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Modelling ventilated bulk storage of agromaterials: A review

Cited by 4 publications

References 67 publications

Controllability and Observability Results of an Implicit Type Fractional Order Delay Dynamical System

Controllability and Observability Results of an Implicit Type Fractional Order Delay Dynamical System

Controllability and observability of 2D thermal flow in bulk storage facilities using sensitivity fields

Postharvest quality development of frying potatoes in a large-scale bulk storage facility

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