Article
Multidisciplinary Sciences
N. H. Sweilam, S. M. AL-Mekhlafi, S. A. Shatta
Summary: The study focuses on optimal control of the dengue virus, suggesting the use of bang-bang control to minimize viral infection and quickly clear the virus from the host. The combination of variable-order fractional derivatives and bang-bang control improves the dynamics of the mathematical model.
JOURNAL OF ADVANCED RESEARCH
(2021)
Article
Automation & Control Systems
Zengjing Chen, Xinwei Feng, Shuhui Liu, Weihai Zhang
Summary: This paper applies the method of backward stochastic differential equations (BSDEs) to study the bang-bang optimal stochastic control problem, and provides the existence, explicit representation, and explicit solution of nonlinear BSDEs with symmetric terminal condition for the optimal control and the optimal value function.
Article
Engineering, Multidisciplinary
Wei Lv, Nan Jiang, Changjun Yu
Summary: This study aims to minimize the epidemic duration of tungiasis disease with limited resources. A human-jigger parasite system with four control policies for humans and jiggers is established. The Pontryagin's minimum principle is applied to prove that only binary controls are feasible for all the control policies. A numerical model combining the control parametrization scheme with the interior point algorithm is constructed. Numerical simulations using actual data from Brazil lead to the conclusion that there is a trade-off between the optimal eradication time and effective funding, and strengthening personal protections and improving treatments for humans can effectively control the disease.
APPLIED MATHEMATICAL MODELLING
(2023)
Article
Operations Research & Management Science
Leonardo Mazzini
Summary: The purpose of this paper is to propose a Neighboring Optimal Guidance algorithm for driving a dynamical system along an optimal trajectory to a target, even when the Hamiltonian fails to satisfy the strict Legendre condition. This approach addresses problems associated with saturated and bang-bang controls, such as low thrust orbit transfer problems. The author introduces a new formulation of the second-order sufficient conditions for optimality, which allows for tractable solutions to problems with irregular Hamiltonians. The effectiveness of the proposed guidance scheme is successfully demonstrated through a space mission scenario involving Neighboring Optimal Guidance in a low-thrust orbit transfer around Earth.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
(2023)
Article
Operations Research & Management Science
T. D. Binh, B. T. Kien, N. H. Son
Summary: This paper examines the local stability of solutions to a parametric multi-objective optimal control problem with constraints. By combining scalarization and non-scalarization methods, it is shown that if the unperturbed problem has a locally strong Pareto solution, then the Pareto solution set is locally Holder continuous at a reference parameter.
Article
Operations Research & Management Science
Elisha R. Pager, Anil Rao
Summary: A method is developed using adaptive Legendre-Gauss-Radau collocation to solve bang-bang and singular optimal control problems. The method includes steps such as structure detection, domain decomposition, and iterative procedure. The results demonstrate that this method provides accurate solutions to nonsmooth and/or singular optimal control problems, and equivalent results for optimal control problems with smooth solutions, compared to previously developed mesh refinement methods.
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
(2022)
Article
Engineering, Marine
Falguni Gopmandal, Arun Ghosh, Avinash Kumar
Summary: This article presents the design of a controller for dynamic positioning of ships, considering the uncertainties in hydrodynamics. The controller uses a two-degree-of-freedom proportional-integral-derivative (PID) control approach and represents the ship dynamics using an uncertain state-space descriptor form. The design includes feedback gains and a linear matrix inequality-based condition to ensure desired performance even in the presence of uncertainties. A feedforward gain is also designed to improve tracking performance, and the proposed controller is compared with existing PID controllers to demonstrate its superiority.
Article
Mathematics
Idriss Mazari
Summary: We investigate the bang-bang property for L infinity - L1 constrained bilinear optimal control problems in one-dimensional torus with parabolic equations. Our study is motivated by applications in applied mathematics, especially in reaction-diffusion models. We prove that if the functions j1 and j2 are increasing, then the maximizer m* of the functional is bang-bang, represented by m* = 1E for some subset E of the torus. This result also establishes an existence property for shape optimization problem.
JOURNAL OF FUNCTIONAL ANALYSIS
(2023)
Article
Automation & Control Systems
Heng Mai, Xuesong Chen, Zhaoyang Yin
Summary: The theoretical properties of a novel time-optimal L-1/L-2 norms optimal control for linear time-invariant systems are investigated. The proposed control efficiently solves the L-0-optimal control problem by converting it to a time-optimal L-1/L-2 norms optimal control and enforcing constraints on the state variable. The uniqueness and continuity of the optimal solution of the time-optimal L-1/L-2 norms optimal control are proven using the nonsmooth maximum principle. Numerical examples demonstrate the superiority of the time-optimal L-1/L-2 norms optimal control.
OPTIMAL CONTROL APPLICATIONS & METHODS
(2023)
Article
Mathematics, Applied
Qura Tul Ain, Muhammad Nadeem, Shazia Karim, Ali Akguel, Fahd Jarad
Summary: The optimal variational iteration method (OVIM) is used to construct a fast and accurate algorithm for a special fourth-order ordinary initial value problem. A new method and a convergence control parameter are proposed to solve parametric boundary value problem that cannot be addressed by conventional methods. The advantages of different strategies for approximating the convergence control parameter are discussed.
Article
Operations Research & Management Science
Quoc Tuan Nguyen
Summary: This paper investigates the stability of minimizers to a parametric optimal control problem governed by semilinear elliptic equations with mixed pointwise control-state constraints. Under the assumption of strictly nonnegative second-order optimality condition, it is shown that the solution map is locally Lipschitz continuous in the L-2 norm and L-8 norm of the control variable.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
(2023)
Article
Automation & Control Systems
Donggun Lee, Shankar A. Deka, Claire J. Tomlin
Summary: This article presents a method to convexify state-constrained optimal control problems in the control-input space. The proposed method allows convex programming methods to find the globally optimal solution even when costs and control constraints are nonconvex in control and convex in state. The method is demonstrated in a navigation example with 16 dimensions.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2023)
Article
Mathematics, Applied
Bui Trong Kien, Nguyen Quoc Tuan, Ching-Feng Wen, Jen-Chih Yao
Summary: This paper investigates the local stability of a parametric optimal control problem governed by semilinear elliptic equations with mixed pointwise constraints. It demonstrates that the solution map is upper Holder continuous in the L infinity-norm of the control variable if the unperturbed problem satisfies the strictly nonnegative second-order optimality conditions.
APPLIED MATHEMATICS AND OPTIMIZATION
(2021)
Article
Operations Research & Management Science
Nguyen Thi Toan, Le Quang Thuy
Summary: This paper studies the computation of the S-derivative of the extremum multifunction in a multi-objective parametric discrete optimal control problem with nonconvex objective functions and control constraints. Formulae for the upper and lower evaluation on the S-derivative are obtained using the solution of state equations, the tangent cone to the constraint sets, and the Frechet derivative of the objective functions.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
(2023)
Article
Mathematical & Computational Biology
A. Camacho, E. Diaz-Ocampo, S. Jerez
Summary: This article presents a mathematical modeling framework to study the effects of radiation therapy on bone metastasis. By proposing an optimal control problem to describe the interactions between cancer cells and bone cells, and analyzing the different possible radiation effects on the bone and cancer cells through numerical simulations.
MATHEMATICAL MODELLING OF NATURAL PHENOMENA
(2022)
Article
Ophthalmology
Ru Wang, Martin Snead, Philip Alexander, D. Ian Wilson
Summary: The study showed that high acceleration, amplitude, and frequency of rapid movements resulted in observed interfacial waves. Lower interfacial tension between the two fluids, lower oil viscosity, and smaller level of SiOil fill all contribute to large deformations of the interface. Under certain conditions, oil droplet formation and detachment were observed at the three-phase contact line.
ACTA OPHTHALMOLOGICA
(2021)
Review
Mechanics
Julien R. Landel, D. Ian Wilson
Summary: The use of liquid cleansers in cleaning and decontaminating surfaces is a common practice in various applications, and understanding the fluid flow phenomena involved is crucial for determining effectiveness. This review focuses on the quantitative understanding and modeling of processes such as cleanser-soiled area interaction, cleanser soil removal effects, and soil transport away from the surface, specifically on rigid substrates excluding gas flow or bubble-based processes.
ANNUAL REVIEW OF FLUID MECHANICS, VOL 53
(2021)
Article
Green & Sustainable Science & Technology
Melissa W. L. Chee, D. Ian Wilson
Summary: The study investigated the removal of viscous soil layers from vertical walls by an intermittent water jet, finding little improvement in cleaning effectiveness without soaking. The model proposed by Fernandes et al. (2019) was suitable for describing the removal behavior of certain soil materials, but not all.
JOURNAL OF CLEANER PRODUCTION
(2021)
Article
Chemistry, Physical
Ran Zhang, Wei Liao, Yunpeng Wang, Yao Wang, D. Ian Wilson, Stuart M. Clarke, Zhongqiang Yang
Summary: This study investigates the formation, growth, and shrinkage of water droplets at immersed oil/solid interfaces, showing that differences in chemical potential control the expansion and contraction of the droplets. Several possible causes are eliminated through careful experiments controlling key parameters.
JOURNAL OF COLLOID AND INTERFACE SCIENCE
(2021)
Article
Green & Sustainable Science & Technology
Jheng-Han Tsai, Jen-Yi Huang, D. Ian Wilson
Summary: A life cycle assessment study on egg yolk powder manufacturing plant showed that egg breaking, storage, and pasteurisation had larger environmental impacts compared to cleaning operations. However, cleaning processes still had significant impacts on thermal energy and wastewater emissions. Different cleaning technologies were considered, but showed limited overall improvement due to factors like electricity supply and equipment manufacture impacts.
JOURNAL OF CLEANER PRODUCTION
(2021)
Article
Engineering, Chemical
R. R. Fernandes, J-H Tsai, D. Wilson
Summary: Different approaches to model the cleaning of thin soil layers by impinging water jets were compared, with the fully-coupled CFD model showing better predictive capabilities despite the complexity of soil rheology. The study highlights the limitations of traditional predictive models when dealing with complex soil behavior.
CHEMICAL ENGINEERING SCIENCE
(2022)
Article
Thermodynamics
Jheng-Han Tsai, Georgina Cuckston, Lukas Schnoing, Wolfgang Augustin, Stephan Scholl, Bart Hallmark, Ian Wilson
Summary: A new variant of the fluid dynamic gauging technique has been reported for determining the thickness of soft fouling layers in real time, allowing accurate characterization of processes like swelling shortly after a deposit layer contacts a solution. Two applications of the SiDG device have been reported, showing its effectiveness in monitoring thickness change of food soil in cleaning processes and determining properties of deposits on stainless steel substrates in fouling situations. Ageing of fouling resistance and changes in thermal properties and strength of deposit layers during fouling tests have been confirmed by the SiDG device.
HEAT TRANSFER ENGINEERING
(2022)
Article
Engineering, Chemical
R. R. Fernandes, N. Suleiman, D. Wilson
Summary: The study used a millimanipulation device as an in situ rheometer to estimate the critical (yield) stress of layers of viscoplastic food and fast-moving consumer goods (FMCG) products on steel plates, showing reasonably good agreement with rotational rheometry results. Particularly, materials with high yield stress yielded more accurate results using the millimanipulation device.
JOURNAL OF FOOD ENGINEERING
(2021)
Article
Biophysics
Ru Wang, Jheng-Han Tsai, Martin P. Snead, Philip Alexander, D. Ian Wilson
Summary: In this study, the stability of the interface between silicone oil and saline layers in a three-dimensional model of the eye chamber was investigated under different eye-like saccadic motions. The deformation of the interface was found to increase with Weber number and was roughly proportional to Weber number for values greater than 1. The presence of a lens resulted in higher deformation near this feature. Emulsification was not observed in any case.
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME
(2022)
Article
Biotechnology & Applied Microbiology
G. L. Cuckston, N. Suleiman, J. Goodwin, M. Groombridge, D. Wilson
Summary: This study investigated the mechanisms involved in cleaning heterogeneous, multicomponent baked food soil off stainless steel surfaces in aqueous solutions. The results showed that swelling of the soil led to a reduction in soil strength and preceded the release of oil droplets. Temperature had a significant impact on swelling and adhesion forces, while the effects of pH and surfactants varied.
FOOD AND BIOPRODUCTS PROCESSING
(2022)
Article
Biotechnology & Applied Microbiology
D. I. Wilson, G. Christie, P. J. Fryer, I. M. Hall, J. R. Landel, K. A. Whitehead
Summary: The UK's Engineering and Physical Sciences Research Council supported a series of meetings in 2021 to develop a roadmap for future research in Quantitative Modelling in Cleaning and Decontamination. This activity involved identifying past and current activities on this topic across different fields and confirmed the common needs and challenges across sectors.
FOOD AND BIOPRODUCTS PROCESSING
(2022)
Review
Biotechnology & Applied Microbiology
Nathalie Gottschalk, Wolfgang Augustin, Stephan Scholl, D. Ian Wilson, Ruben Mercade-Prieto
Summary: This review focuses on the removal of strongly adherent fouling deposits in the food industry, discussing the key mechanisms and techniques for selecting and optimizing cleaning protocols.
FOOD AND BIOPRODUCTS PROCESSING
(2022)
Article
Biotechnology & Applied Microbiology
Rubens R. Fernandes, Xi Shern Tan, Eu Jin Wong, D. Ian Wilson
Summary: This study investigates the water-based purging process of fast moving consumer goods products from pipes and identifies a dependency between cleaning time and wall shear stress. The rheology of toothpaste cannot be explained by simple viscoplastic descriptions. A mass transfer model can explain the scaling for laminar flows but not for turbulent flows.
FOOD AND BIOPRODUCTS PROCESSING
(2022)
Article
Engineering, Chemical
Alexander J. Cunliffe, Ru Wang, James Redfern, Joanna Verran, Ian Wilson
Summary: The efficacy of antimicrobial surfaces at solid-air interfaces can be evaluated through standardized testing methods, which involve placing a droplet containing microorganisms onto the surface and monitoring the microbial counts over time. It is crucial to consider the drying time of the droplet, as it may affect the efficacy of the antimicrobial. Factors such as temperature, humidity, airflow, surface characteristics, and the presence of microorganisms can influence the evaporation rate and the effectiveness of antimicrobial materials.
JOURNAL OF FOOD ENGINEERING
(2023)
Article
Engineering, Chemical
M. W. L. Chee, G. Ghasemi, M. A. Rashid, R. R. Fernandes, D. I. Wilson
Summary: The removal of thick layers of viscoplastic soft-solid food-related materials from PMMA plates using water jets was studied. The removal process involved the growth of a circular crater when the layer thickness was small, and the formation and rupture of a blister followed by cratering when the layer thickness was thick. The blister formation process could be described by simple geometric models.
JOURNAL OF FOOD ENGINEERING
(2023)
Article
Computer Science, Interdisciplinary Applications
Nohan Joemon, Melpakkam Pradeep, Lokesh K. Rajulapati, Raghunathan Rengaswamy
Summary: This paper introduces a smoothing-based approach for discovering partial differential equations from noisy measurements. The method is data-driven and improves performance by incorporating first principles knowledge. The effectiveness of the algorithm is demonstrated in a real system using a new benchmark metric.
COMPUTERS & CHEMICAL ENGINEERING
(2024)
Article
Computer Science, Interdisciplinary Applications
Zhibin Lu, Yimeng Li, Chang He, Jingzheng Ren, Haoshui Yu, Bingjian Zhang, Qinglin Chen
Summary: This study proposes a new inverse design method using a physics-informed neural network to identify optimal heat sink designs. A hybrid PINN accurately approximates the governing equations of heat transfer processes, and a surrogate model is constructed for integration with optimization algorithms. The proposed method accelerates the search for Pareto-optimal designs and reduces search time. Comparing different scenarios facilitates real-time observation of multiphysics field changes, improving understanding of optimal designs.
COMPUTERS & CHEMICAL ENGINEERING
(2024)
Article
Computer Science, Interdisciplinary Applications
Luca Gasparini, Antonio Benedetti, Giulia Marchese, Connor Gallagher, Pierantonio Facco, Massimiliano Barolo
Summary: In this paper, a method for batch process monitoring with limited historical data is investigated. The methodology utilizes machine learning algorithms to generate virtual data and combines it with real data to build a process monitoring model. Automatic procedures are developed to optimize parameters, and indicators and metrics are proposed to assist virtual data generation activities.
COMPUTERS & CHEMICAL ENGINEERING
(2024)
Article
Computer Science, Interdisciplinary Applications
Julia Jimenez-Romero, Adisa Azapagic, Robin Smith
Summary: Energy transition is a significant and complex challenge for the industry, and developing cost-effective solutions for synthesizing utility systems is crucial. The research combines mathematical formulation with realistic configurations and conditions to represent utility systems and provides a basis for synthesizing energy-efficient utility systems for the future.
COMPUTERS & CHEMICAL ENGINEERING
(2024)
Article
Computer Science, Interdisciplinary Applications
Samuel Adeyemo, Debangsu Bhattacharyya
Summary: This work develops algorithms for estimating sparse interpretable data-driven models. The algorithms select the optimal basis functions and estimate the model parameters using Bayesian inferencing. The algorithms estimate the noise characteristics and model parameters simultaneously. The algorithms also exploit prior analysis and special properties for efficient pruning, and use a modified Akaike information criterion for model selection.
COMPUTERS & CHEMICAL ENGINEERING
(2024)
Article
Computer Science, Interdisciplinary Applications
Abbasali Jafari-Nodoushan, Mohammad Hossein Dehghani Sadrabadi, Maryam Nili, Ahmad Makui, Rouzbeh Ghousi
Summary: This study presents a three-objective model to design a forward supply chain network considering interrelated operational and disruptive risks. Several strategies are implemented to cope with these risks, and a joint pricing strategy is used to enhance the profitability of the supply chain. The results show that managing risks and uncertainties simultaneously can improve sustainability goals and reduce associated costs.
COMPUTERS & CHEMICAL ENGINEERING
(2024)
Article
Computer Science, Interdisciplinary Applications
T. A. Espaas, V. S. Vassiliadis
Summary: This paper extends the concept of higher-order search directions in interior point methods to convex nonlinear programming. It provides the mathematical framework for computing higher-order derivatives and highlights simplified computation for special cases. The paper also introduces a dimensional lifting procedure for transforming general nonlinear problems into more efficient forms and describes the algorithmic development required to employ these higher-order search directions.
COMPUTERS & CHEMICAL ENGINEERING
(2024)
Article
Computer Science, Interdisciplinary Applications
David A. Linan, Gabriel Contreras-Zarazua, Eduardo Sanhez-Ramirez, Juan Gabriel Segovia-Hernandez, Luis A. Ricardez-Sandoval
Summary: This study proposes a parallel hybrid algorithm for optimal design of process flowsheets, which combines stochastic method with deterministic algorithm to achieve faster and improved convergence.
COMPUTERS & CHEMICAL ENGINEERING
(2024)
Article
Computer Science, Interdisciplinary Applications
Xiaoyong Lin, Zihui Li, Yongming Han, Zhiwei Chen, Zhiqiang Geng
Summary: A novel GAT-LSTM model is proposed for the production prediction and energy structure optimization of propylene production processes. It outperforms other models and can provide the optimal raw material scheme for actual production processes.
COMPUTERS & CHEMICAL ENGINEERING
(2024)
Article
Computer Science, Interdisciplinary Applications
Prodromos Daoutidis, Jay H. Lee, Srinivas Rangarajan, Leo Chiang, Bhushan Gopaluni, Artur M. Schweidtmann, Iiro Harjunkoski, Mehmet Mercangoz, Ali Mesbah, Fani Boukouvala, Fernando Lima, Antonio del Rio Chanona, Christos Georgakis
Summary: This paper provides a concise perspective on the potential of machine learning in the PSE domain, based on discussions and talks during the FIPSE 5 conference. It highlights the need for domain-specific techniques in molecular/material design, data analytics, optimization, and control.
COMPUTERS & CHEMICAL ENGINEERING
(2024)
Article
Computer Science, Interdisciplinary Applications
Hesam Hassanpour, Prashant Mhaskar, Brandon Corbett
Summary: This work addresses the problem of designing an offset-free implementable reinforcement learning (RL) controller for nonlinear processes. A pre-training strategy is proposed to provide a secure platform for online implementations of the RL controller. The efficacy of the proposed approach is demonstrated through simulations on a chemical reactor example.
COMPUTERS & CHEMICAL ENGINEERING
(2024)
Article
Computer Science, Interdisciplinary Applications
Hunggi Lee, Donghyeon Lee, Jaewook Lee, Dongil Shin
Summary: This study introduces an innovative framework that utilizes a limited number of sensors to detect chemical leaks early, mitigating the risk of major industrial disasters, and providing faster and higher-resolution results.
COMPUTERS & CHEMICAL ENGINEERING
(2024)
Article
Computer Science, Interdisciplinary Applications
Sibel Uygun Batgi, Ibrahim Dincer
Summary: This study examines the environmental impacts of three alternative hydrogen-generating processes and determines the best environmentally friendly option for hydrogen production by comparing different impact categories. The results show that the solar-based HyS cycle options perform the best in terms of global warming potential, abiotic depletion, acidification potential, ozone layer depletion, and human toxicity potential.
COMPUTERS & CHEMICAL ENGINEERING
(2024)
Article
Computer Science, Interdisciplinary Applications
LaGrande Gunnell, Bethany Nicholson, John D. Hedengren
Summary: A review of current trends in scientific computing shows a shift towards open-source and higher-level programming languages like Python, with increasing career opportunities in the next decade. Open-source modeling tools contribute to innovation in equation-based and data-driven applications, and the integration of data-driven and principles-based tools is emerging. New compute hardware, productivity software, and training resources have the potential to significantly accelerate progress, but long-term support mechanisms are still necessary.
COMPUTERS & CHEMICAL ENGINEERING
(2024)
Article
Computer Science, Interdisciplinary Applications
Daniel Cristiu, Federico d'Amore, Fabrizio Bezzo
Summary: This study presents a multi-objective mixed integer linear programming framework to optimize the supply chain for mixed plastic waste in Northern Italy. Results offer quantitative insights into economic and environmental performance, balancing trade-offs between maximizing gross profit and minimizing greenhouse gas emissions.
COMPUTERS & CHEMICAL ENGINEERING
(2024)
