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In this paper, we consider the mixed optimal control of a linear stochastic system with a quadratic cost functional, with two controllers-one can choose only deterministic time functions, called the deterministic controller, while the other…

Optimization and Control · Mathematics 2017-08-23 Ying Hu , Shanjian Tang

Additive manufacturing has enabled the fabrication of advanced reactor geometries, permitting larger, more complex design spaces. Identifying promising configurations within such spaces presents a significant challenge for current…

Computational Engineering, Finance, and Science · Computer Science 2024-06-07 Tom Savage , Nausheen Basha , Jonathan McDonough , James Krassowski , Omar K Matar , Ehecatl Antonio del Rio Chanona

A re-entrant manufacturing system producing a large number of items and involving many steps can be approximately modeled by a hyperbolic partial differential equation (PDE) according to mass conservation law with respect to a continuous…

Optimization and Control · Mathematics 2016-11-15 Xiaodong Xu , Stevan Dubljevic

Planning of biorefinery operations is complicated by the stochastic nature of physical and chemical characteristics of biomass feedstock, such as, moisture level and carbohydrate content. Biomass characteristics affect the performance of…

Optimization and Control · Mathematics 2021-05-05 Dahui Liu , Sandra Eksioglu , Mohammad Roni

In this paper, we consider an open-loop, finite-time, optimal control problem of attaining a specific desired current profile during the ramp-up phase by finding the best open-loop actuator input trajectories. Average density, total power,…

Plasma Physics · Physics 2017-03-08 Zhigang Ren , Chao Xu , Yongsheng Ou

Efficiency, comfort, and convenience are three major aspects in the design of control systems for residential Heating, Ventilation, and Air Conditioning (HVAC) units. In this paper we propose an optimization-based algorithm for HVAC control…

Optimization and Control · Mathematics 2016-05-03 Runxin He , Humberto Gonzalez

This paper presents a multi-objective stochastic optimization method for tuning of the controller parameters of Refrigeration Systems based on Vapour Compression. Stochastic Multi Parameter Divergence Optimization (SMDO) algorithm is…

Systems and Control · Computer Science 2018-06-05 Abdullah Ates , Jie Yuan , Sina Dehghan , Yang Zhao , Celaleddin Yeroglu , YangQuan Chen

Quality control in industrial processes is increasingly making use of prior scientific knowledge, often encoded in physical models that require numerical approximation. Statistical prediction, and subsequent optimization, is key to ensuring…

Other Statistics · Statistics 2018-10-23 Antony Overstall , David Woods , Kieran Martin

The optimization of yields in multi-reactor systems, which are advanced tools in heterogeneous catalysis research, presents a significant challenge due to hierarchical technical constraints. To this respect, this work introduces a novel…

Machine Learning · Computer Science 2024-08-06 Markus Grimm , Sébastien Paul , Pierre Chainais

Building a new generation of fission reactors in the United States presents many technical and regulatory challenges. One important challenge is the need to share and present results from new high-fidelity, high-performance simulations in…

Computational Engineering, Finance, and Science · Computer Science 2014-07-11 Jay Jay Billings , Jordan H. Deyton , S. Forest Hull , Eric J. Lingerfelt , Anna Wojtowicz

Reduction of heat and friction losses is a proven approach to increase the engine efficiency. Therefore, and due to a stabilized, robust combustion, a specific adjustment of component temperatures is desirable in highly transient…

Signal Processing · Electrical Eng. & Systems 2018-06-25 Peter Hoelz , Thomas Boehlke , Thomas Kraemer

Microchannel reactors are critical in biological plus energy-related applications and require meticulous design of hundreds-to-thousands of fluid flow channels. Such systems commonly comprise intricate space-filling microstructures to…

Computational Engineering, Finance, and Science · Computer Science 2019-11-15 Ercan M. Dede , Yuqing Zhou , Tsuyoshi Nomura

Stochastic differential equations (SDEs) using jump-diffusion processes describe many natural phenomena at the microscopic level. Since they are commonly used to model economic and financial evolutions, the calibration and optimal control…

Optimization and Control · Mathematics 2025-05-08 Jan Bartsch , Alfio Borzi , Gabriele Ciaramella , Jan Reichle

The development of new manufacturing techniques such as 3D printing have enabled the creation of previously infeasible chemical reactor designs. Systematically optimizing the highly parameterized geometries involved in these new classes of…

Computational Engineering, Finance, and Science · Computer Science 2023-07-10 Tom Savage , Nausheen Basha , Jonathan McDonough , Omar K Matar , Ehecatl Antonio del Rio Chanona

A solid system consisting of two heat conducting cylinders with a thermoelectric converter (Peltier element) between them is considered. A nonlinear model, which was previously verified by authors, is used to design a constrained control…

Systems and Control · Electrical Eng. & Systems 2022-06-15 Alexander Gavrikov , Georgy Kostin

This paper examines aspirational requirements for software addressing mixed-integer optimization problems constrained by the nonlinear Shallow Water partial differential equations (PDEs), motivated by applications such as river-flow…

Optimization and Control · Mathematics 2026-05-26 Fabio DiFonzo , Michael Holst , Morteza Kimiaei , Vyacheslav Kungurtsev , Songqiang Qiu

Model reduction methods are relevant when the computation time of a full convection-diffusion-reaction simulation based on detailed chemical reaction mechanisms is too large. In this article, we review a model reduction approach based on…

Computational Physics · Physics 2014-05-20 Dirk Lebiedz , Jochen Siehr

This paper reports a mass transfer model of a reactant flowing in a large aspect ratio microfluidic chip made of a channel with electrodes on the side walls. A semi-analytical solution to the two-dimensional Fickian diffusion of a reactant…

Fluid Dynamics · Physics 2021-10-04 Stéphane Chevalier

Microgels are cross-linked, colloidal polymer networks with great potential for stimuli-response release in drug-delivery applications, as their size in the nanometer range allows them to pass human cell boundaries. For applications with…

Computational Engineering, Finance, and Science · Computer Science 2023-09-01 Luise F. Kaven , Artur M. Schweidtmann , Jan Keil , Jana Israel , Nadja Wolter , Alexander Mitsos

We analyze the theoretical framework of a shape optimization problem for a microchannel cooling system. To this end, a cost functional based on the tracking of absorbed energy by the cooler as well as some desired flow on a subdomain of the…

Optimization and Control · Mathematics 2025-10-14 Sebastian Blauth , Christian Leithäuser , René Pinnau