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In this contribution we develop an efficient reduced order model for solving parametrized linear-quadratic optimal control problems with linear time-varying state system. The fully reduced model combines reduced basis approximations of the…

数值分析 · 数学 2024-08-29 Hendrik Kleikamp , Lukas Renelt

We address the problem of executing large client orders in continuous double-auction markets under time and liquidity constraints. We propose a model predictive control (MPC) framework that balances three competing objectives: order…

Demand-side management (DSM) programs introduce complex pricing, requiring advanced control for cost minimization. Model Predictive Control (MPC) offers a solution but its performance hinges on appropriate hyperparameter tuning. We propose…

系统与控制 · 电气工程与系统科学 2026-05-05 Jiarui Yu , Jicheng Shi , Wenjie Xu , Colin N. Jones

The challenge of constructing feedback control laws for risk-averse optimal control of partial differential equations (PDEs) with random coefficients is addressed. The control objective composes a tracking-type cost with the nonlinear…

最优化与控制 · 数学 2025-08-22 Philipp A. Guth , Karl Kunisch

The core of the Model Predictive Control (MPC) method in every step of the algorithm consists in solving a time-dependent optimization problem on the prediction horizon of the MPC algorithm, and then to apply a portion of the optimal…

最优化与控制 · 数学 2021-01-15 Alessandro Alla , Carmen Gräßle , Michael Hinze

In this work, a composite economic model predictive control (CEMPC) is proposed for the optimal operation of a stand-alone integrated energy system (IES). Time-scale multiplicity exists in IESs dynamics is taken into account and addressed…

系统与控制 · 电气工程与系统科学 2022-05-24 Long Wu , Xunyuan Yin , Lei Pan , Jinfeng Liu

Model Predictive Control (MPC) can efficiently control constrained systems in real-time applications. MPC feedback law for a linear system with linear inequality constraints can be explicitly computed off-line, which results in an off-line…

系统与控制 · 计算机科学 2016-06-13 Andrew Knyazev , Peizhen Zhu , Stefano Di Cairano

Model predictive control (MPC) is widely used in industries but implementing it poses challenges due to hardware or time constraints. A promising solution is to approximate the MPC policy using function approximators like neural networks.…

最优化与控制 · 数学 2026-05-08 Chenchen Zhou , Yi Cao , Shuang-hua Yang

We present a robust model predictive control method (MPC) for discrete-time linear time-delayed systems with state and control input constraints. The system is subject to both polytopic model uncertainty and additive disturbances. In the…

系统与控制 · 电气工程与系统科学 2022-09-27 Shaoru Chen , Ning-Yuan Li , Victor M. Preciado , Nikolai Matni

Model predictive control (MPC) is a powerful tool for controlling complex nonlinear systems under constraints, but often struggles with model uncertainties and the design of suitable cost functions. To address these challenges, we discuss…

系统与控制 · 电气工程与系统科学 2024-10-08 Sebastian Hirt , Andreas Höhl , Johannes Pohlodek , Joachim Schaeffer , Maik Pfefferkorn , Richard D. Braatz , Rolf Findeisen

Model Predictive Control (MPC) is an enabling technology in applications requiring controlling physical processes in an optimized way under constraints on inputs and outputs. However, in MPC closed-loop performance is pushed to the limits…

最优化与控制 · 数学 2019-05-06 Dario Piga , Marco Forgione , Simone Formentin , Alberto Bemporad

We present a framework for optimal trajectory generation in flow-driven systems governed by the Navier-Stokes equations, combining a Proper Orthogonal Decomposition (POD) reduced0order model (ROM) with Model Predictive Control (MPC). The…

最优化与控制 · 数学 2025-12-01 Adam Waterman , Martin Guay

A robust model predictive control (MPC) method is presented for linear, time-invariant systems affected by bounded additive disturbances. The main contribution is the offline design of a disturbance-affine feedback gain whereby the…

系统与控制 · 电气工程与系统科学 2022-11-16 Anilkumar Parsi , Panagiotis Anagnostaras , Andrea Iannelli , Roy S. Smith

Differentiable model predictive control (MPC) offers a powerful framework for combining learning and control. However, its adoption has been limited by the inherently sequential nature of traditional optimization algorithms, which are…

最优化与控制 · 数学 2025-10-08 Emre Adabag , Marcus Greiff , John Subosits , Thomas Lew

In control applications there is often a compromise that needs to be made with regards to the complexity and performance of the controller and the computational resources that are available. For instance, the typical hardware platform in…

系统与控制 · 电气工程与系统科学 2020-11-30 Eivind Bøhn , Sebastien Gros , Signe Moe , Tor Arne Johansen

A finite horizon optimal tracking problem is considered for linear dynamical systems subject to parametric uncertainties in the state-space matrices and exogenous disturbances. A suboptimal solution is proposed using a model predictive…

最优化与控制 · 数学 2022-02-08 Anilkumar Parsi , Andrea Iannelli , Roy S. Smith

Model predictive control is a prominent approach to construct a feedback control loop for dynamical systems. Due to real-time constraints, the major challenge in MPC is to solve model-based optimal control problems in a very short amount of…

最优化与控制 · 数学 2020-12-15 Sina Ober-Blöbaum , Sebastian Peitz

Model predictive control (MPC) of hybrid dynamical systems is challenging because the associated optimization problem is nonsmooth and the resulting feedback law is discontinuous. This paper develops real-time MPC algorithms for nonlinear…

最优化与控制 · 数学 2026-04-21 Armin Nurkanović , Anton Pozharskiy , Moritz Diehl

Model predictive control (MPC) is pervasive in research and industry. However, designing the cost function and the constraints of the MPC to maximize closed-loop performance remains an open problem. To achieve optimal tuning, we propose a…

最优化与控制 · 数学 2024-12-02 Riccardo Zuliani , Efe C. Balta , John Lygeros

We propose a nonlinear model predictive control (NMPC) framework based on a direct optimal control method that ensures continuous-time constraint satisfaction and accurate evaluation of the running cost, without compromising computational…

最优化与控制 · 数学 2024-05-02 Samet Uzun , Purnanand Elango , Abhinav G. Kamath , Taewan Kim , Behcet Acikmese