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This work is focused on optimal control of mechanical compression refrigeration systems. A reduced-order state-space model based on the moving boundary approach is proposed for the canonical cycle, which eases the controller design. The…

最优化与控制 · 数学 2024-02-08 G. Bejarano , M. G. Ortega , J. E. Normey-Rico , F. R Rubio

Among the auxiliary loads in light-duty vehicles, the air conditioning system is the single largest energy consumer. For electrified vehicles, the impact of heating and cooling loads becomes even more significant, as they compete with the…

系统与控制 · 电气工程与系统科学 2021-10-20 Dennis Kibalama , Yuxing Liu , Stephanie Stockar , Marcello Canova

We apply advanced methods of control theory to open quantum systems and we determine finite-time processes which are optimal with respect to thermodynamic performances. General properties and necessary conditions characterizing optimal…

量子物理 · 物理学 2018-08-01 Vasco Cavina , Andrea Mari , Alberto Carlini , Vittorio Giovannetti

In this paper, we consider an optimal control problem in equilibrium thermodynamics of gases. Thermodynamic state of the gas is given by a Legendrian submanifold in a contact thermodynamic space. Using Pontryagin's maximum principle we find…

数学物理 · 物理学 2020-05-20 Alexei Kushner , Valentin Lychagin , Mikhail Roop

Climate change and global warming are among the most significant issues that humanity is currently facing, and also among the issues that pose the greatest threats to all mankind. These issues are primarily driven by abnormal increases in…

最优化与控制 · 数学 2025-07-01 Hua Liu , Zhuoma Gangji , Yumei Wei , Jianhua Ye , Gang Ma

The provision of accurate methods for predicting the climate response to anthropogenic and natural forcings is a key contemporary scientific challenge. Using a simplified and efficient open-source general circulation model of the atmosphere…

大气与海洋物理 · 物理学 2016-05-25 Valerio Lucarini , Frank Lunkeit , Francesco Ragone

It has been asserted previously by the author that optimal control theory can be a valuable framework for theoretical studies about the shape that a wind instrument should have in order to satisfy some optimization criterion, inside a…

最优化与控制 · 数学 2010-01-20 Georges Le Vey

Optimal control theory deals with finding protocols to steer a system between assigned initial and final states, such that a trajectory-dependent cost function is minimized. The application of optimal control to stochastic systems is an…

统计力学 · 物理学 2024-09-18 Julia Sanders , Marco Baldovin , Paolo Muratore-Ginanneschi

In this paper, we consider a class of optimal control problems governed by 1D parabolic state-systems of KWC types with dynamic boundary conditions. The state-systems are based on a phase-field model of grain boundary motion, proposed in…

偏微分方程分析 · 数学 2020-10-05 Shodai Kubota , Ryota Nakayashiki , Ken Shirakawa

An optimal control of a steady state thermistor problem is considered, where the convective boundary coefficient is taken as the control variable. A distinctive feature of this paper is that the problem is considered in arbitrary…

最优化与控制 · 数学 2019-02-06 Volodymyr Hrynkiv , Sergiy Koshkin

Optimal processes in stochastic thermodynamics are a frontier for understanding the control and design of non-equilibrium systems, with broad practical applications in biology, chemistry, and nanoscale/mesoscale systems. Optimal mass…

统计力学 · 物理学 2026-01-15 Atul Tanaji Mohite , Heiko Rieger

We are concerned with the optimal control problem of the well known nonlocal thermistor problem, i.e., in studying the heat transfer in the resistor device whose electrical conductivity is strongly dependent on the temperature. Existence of…

最优化与控制 · 数学 2012-10-09 Moulay Rchid Sidi Ammi , Delfim F. M. Torres

We propose an optimal operation control strategy for an electro-thermal microgrid. Compared to existing work, our approach increases flexibility by operating the thermal network with variable flow temperatures and in that way explicitly…

系统与控制 · 电气工程与系统科学 2024-04-03 Max Rose , Christian A. Hans , Johannes Schiffer

Starting from a classical Budyko-Sellers-Ghil energy balance model for the average surface temperature of the Earth, a nonautonomous version is designed by allowing the solar irradiance and the cloud cover coefficients to vary with time in…

大气与海洋物理 · 物理学 2025-11-25 Iacopo P. Longo , Rafael Obaya , Ana M. Sanz

This paper develops a mathematical framework that aims to control the temperature and rotational speed in the activation process of a gas turbine in an optimal way. These controls influence the deformation and the stress in the component…

最优化与控制 · 数学 2023-11-21 Nicolai Friedlich , Hanno Gottschalk , Georg Vossen

A central goal of thermodynamics is to identify optimal processes during which the least amount of energy is dissipated into the environment. Generally, even for simple systems, such as the parametric harmonic oscillator, optimal control…

统计力学 · 物理学 2018-10-11 Marcus V. S. Bonança , Sebastian Deffner

This paper is concerned with the state-constrained optimal control of the three-dimensional thermistor problem, a fully quasilinear coupled system of a parabolic and elliptic PDE with mixed boundary conditions. This system models the…

最优化与控制 · 数学 2018-07-02 Hannes Meinlschmidt , Christian Meyer , Joachim Rehberg

Standard optimal control methods perform optimization in the time domain. However, many experimental settings demand the expression of the control signal as a superposition of given waveforms, a case that cannot easily be accommodated using…

最优化与控制 · 数学 2015-06-22 Selina Meister , Jürgen T. Stockburger , Rebecca Schmidt , Joachim Ankerhold

In this paper, we consider the stochastic optimal control problem for the interacting particle system. We obtain the stochastic maximum principle of the optimal control system by introducing a generalized backward stochastic differential…

概率论 · 数学 2025-05-14 Andrey A. Dorogovtsev , Yuecai Han , Kateryna Hlyniana , Yuhang Li

In this paper, an energy conservation measure that optimizes the planning of heating and cooling systems for tertiary sector buildings is proposed. It consists of a model-based predictive control approach that employs a grey-box model built…

系统与控制 · 电气工程与系统科学 2019-10-04 Phillipe R. Sampaio , Raphael Salvazet , Pierre Mandel , Gwénaëlle Becker , Damien Chenu
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