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This paper studies an optimal control problem related to membrane filtration processes. A simple mathematical model of membrane fouling is used to capture the dynamic behavior of the filtration process which consists in the attachment of…

Optimization and Control · Mathematics 2020-06-18 Nesrine Kalboussi , Alain Rapaport , Térence Bayen , Nihel Ben Amar , Fatma Ellouze , Jérôme Harmand

We consider an arbitrary network of $M/M/\infty$ queues with controlled transitions between queues. We consider optimal control problems where the costs are linear functions of the state and inputs over a finite or infinite horizon. We…

Optimization and Control · Mathematics 2025-09-11 Giovanni Pugliese Carratelli , Ioannis Lestas

This paper aims to improve the reliability of optimal control using models constructed by machine learning methods. Optimal control problems based on such models are generally non-convex and difficult to solve online. In this paper, we…

Optimization and Control · Mathematics 2021-07-12 Ryuta Moriyasu , Taro Ikeda , Sho Kawaguchi , Kenji Kashima

In manufacturing, the increasing involvement of autonomous robots in production processes poses new challenges on the production management. In this paper we report on the usage of Optimization Modulo Theories (OMT) to solve certain…

Artificial Intelligence · Computer Science 2017-11-22 Francesco Leofante , Erika Ábrahám , Tim Niemueller , Gerhard Lakemeyer , Armando Tacchella

A particle filter is introduced to numerically approximate a solution of the global optimization problem. The theoretical significance of this work comes from its variational aspects: (i) the proposed particle filter is a controlled…

Optimization and Control · Mathematics 2017-01-11 Chi Zhang , Amirhossein Taghvaei , Prashant G. Mehta

We consider linear model reduction in both the control and state variables for unconstrained linear-quadratic optimal control problems subject to time-varying parabolic PDEs. The first-order optimality condition for a state-space reduced…

Optimization and Control · Mathematics 2025-10-17 Michael Kartmann , Stefan Volkwein

In automated manufacturing, robots must reliably assemble parts of various geometries and low tolerances. Ideally, they plan the required motions autonomously. This poses a substantial challenge due to high-dimensional state spaces and…

The purpose of this paper is to review and highlight some connections between the problem of nonlinear smoothing and optimal control of the Liouville equation. The latter has been an active area of recent research interest owing to work in…

Optimization and Control · Mathematics 2023-03-23 Jin W. Kim , Prashant G. Mehta

The purpose of this work is the formulation of optimality conditions for phase-field optimal control problems. The forward problem is first stated as an abstract nonlinear optimization problem, and then the necessary optimality conditions…

Optimization and Control · Mathematics 2023-10-06 Denis Khimin , Johannes Lankeit , Marc C. Steinbach , Thomas Wick

In this paper, we propose control theoretic smoothing splines with L1 optimality for reducing the number of parameters that describes the fitted curve as well as removing outlier data. A control theoretic spline is a smoothing spline that…

Information Theory · Computer Science 2015-06-22 Masaaki Nagahara , Clyde F. Martin

Complex industrial processes such as the drying of combustible biomass can be modeled with computational fluid dynamics simulations. Due to their complexity, it is not straightforward to use these models for the analysis of system…

Optimization and Control · Mathematics 2020-03-30 Marc Oliver Berner , Viktor Scherer , Martin Mönnigmann

The performance, reliability, cost, size and energy usage of computing systems can be improved by one or more orders of magnitude by the systematic use of modern control and optimization methods. Computing systems rely on the use of…

Systems and Control · Computer Science 2017-10-13 Eric C. Kerrigan

We consider the framework of convex high dimensional stochastic control problems, in which the controls are aggregated in the cost function. As first contribution, we introduce a modified problem, whose optimal control is under some…

Optimization and Control · Mathematics 2023-04-28 Adrien Séguret , Clémence Alasseur , J. Frédéric Bonnans , Antonio De Paola , Nadia Oudjane , Vincenzo Trovato

This contribution considers one central aspect of experiment design in system identification. When a control design is based on an estimated model, the achievable performance is related to the quality of the estimate. The degradation in…

Systems and Control · Computer Science 2013-03-22 Afrooz Ebadat , Mariette Annergren , Christian A. Larsson , Cristian R. Rojas , Bo Wahlberg

Time delays are ubiquitous in industrial processes, and they must be accounted for when designing control algorithms because they have a significant effect on the process dynamics. Therefore, in this work, we propose a simultaneous approach…

Optimization and Control · Mathematics 2024-10-22 Tobias K. S. Ritschel

The canonical proportional-integral-derivative (PID) control approach has been widely used in industrial application due to their simplicity and ease of use. However, its corresponding controller parameters are hard to be adjusted,…

Optimization and Control · Mathematics 2020-05-05 Xiaojun Zhou

This paper considers the problem of scheduling autonomous vehicles in intersections. A new system is proposed that could be an additional choice to the recently introduced Autonomous Intersection Management (AIM) model. The proposed system…

Systems and Control · Computer Science 2018-03-20 Nasser Aloufi

We formulate and study the infinite dimensional linear programming (LP) problem associated with the deterministic discrete time long-run average criterion optimal control problem. Along with its dual, this LP problem allows one to…

Optimization and Control · Mathematics 2019-05-29 Vivek S. Borkar , Vladimir Gaitsgory , Ilya Shvartsman

We study the optimal control of a steady-state dead oil isotherm problem. The problem is described by a system of nonlinear partial differential equations resulting from the traditional modelling of oil engineering within the framework of…

Optimization and Control · Mathematics 2013-10-03 Moulay Rchid Sidi Ammi , Agnieszka B. Malinowska , Delfim F. M. Torres

We consider the problem of designing a feedback controller for a multivariable linear time-invariant system which regulates an arbitrary system output to the solution of an equality-constrained convex optimization problem despite unknown…

Optimization and Control · Mathematics 2020-05-12 Liam S. P. Lawrence , John W. Simpson-Porco , Enrique Mallada
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