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Scientific machine learning is an emerging field that broadly describes the combination of scientific computing and machine learning to address challenges in science and engineering. Within the context of differential equations, this has…

机器学习 · 计算机科学 2026-04-03 Laurens R. Lueg , Victor Alves , Daniel Schicksnus , John R. Kitchin , Carl D. Laird , Lorenz T. Biegler

This paper develops a methodology for adaptive data-driven Model Predictive Control (MPC) using Koopman operators. While MPC is ubiquitous in various fields of engineering, the controller performance can deteriorate if the modeling error…

最优化与控制 · 数学 2024-12-05 Daisuke Uchida , Karthik Duraisamy

Constraint handling during tracking operations is at the core of many real-world control implementations and is well understood when dynamic models of the underlying system exist, yet becomes more challenging when data-driven models are…

系统与控制 · 电气工程与系统科学 2023-10-05 Ye Wang , Yujia Yang , Ye Pu , Chris Manzie

Predictive Coding (PC) offers a brain-inspired alternative to backpropagation for neural network training, described as a physical system minimizing its internal energy. However, in practice, PC is predominantly digitally simulated,…

机器学习 · 计算机科学 2026-02-03 Cédric Goemaere , Gaspard Oliviers , Rafal Bogacz , Thomas Demeester

In this paper, we propose a low rank approximation method for efficiently solving stochastic partial differential equations. Specifically, our method utilizes a novel low rank approximation of the stiffness matrices, which can significantly…

数值分析 · 数学 2023-10-20 Yujun Zhu , Ju Ming , Jie Zhu , Zhongming Wang

Parameter estimation for non-stationary stochastic differential equations (SDE) with an arbitrary nonlinear drift, and nonlinear diffusion is accomplished in combination with a non-parametric clustering methodology. Such a model-based…

最优化与控制 · 数学 2021-09-07 Vyacheslav Boyko , Sebastian Krumscheid , Nikki Vercauteren

The study of optimal control problems under uncertainty plays an important role in scientific numerical simulations. This class of optimization problems is strongly utilized in engineering, biology and finance. In this paper, a stochastic…

最优化与控制 · 数学 2023-04-06 Caroline Geiersbach , Teresa Scarinci

Driven by advances in hardware and software technologies, nonlinear model predictive control (NMPC) has gained increasing adoption in both industry and academia over the past decades. However, its practical deployment is often limited by…

最优化与控制 · 数学 2026-04-10 Perceval Beja-Battais , Guillaume Dupré , Alain Grossetête , Nicolas Vayatis

Motion Cueing Algorithms (MCAs) encode the movement of simulated vehicles into movement that can be reproduced with a motion simulator to provide a realistic driving experience within the capabilities of the machine. This paper introduces a…

机器人学 · 计算机科学 2025-04-11 Camilo Gonzalez Arango , Houshyar Asadi , Mohammad Reza Chalak Qazani , Chee Peng Lim

This paper considers the design of nonlinear data-enabled predictive control (DeePC) using kernel functions. Compared with existing methods that use kernels to parameterize multi-step predictors for nonlinear DeePC, we adopt a novel,…

最优化与控制 · 数学 2025-01-30 Thomas de Jong , Siep Weiland , Mircea Lazar

Data assimilation (DA) provides a general framework for estimation in dynamical systems based on the concepts of Bayesian inference. This constitutes a common basis for the different linear and nonlinear filtering and smoothing techniques…

Nonlinear Model Predictive Control (NMPC) is a precise controller, but its heavy computational load often prevents application in robotic systems. Some studies have attempted to approximate NMPC using deep neural networks (NMPC-DNN).…

机器人学 · 计算机科学 2025-10-02 Alireza Aliyari , Gholamreza Vossoughi

Nonlinear Model Predictive Control (NMPC) offers a powerful approach for controlling complex nonlinear systems, yet faces two key challenges. First, accurately modeling nonlinear dynamics remains difficult. Second, variables directly…

系统与控制 · 电气工程与系统科学 2026-02-03 Kosei Tsuji , Ichiro Maruta , Kenji Fujimoto , Tomoyuki Maeda , Yoshihisa Tamase , Tsukasa Shinohara

The unaffordable computation load of nonlinear model predictive control (NMPC) has prevented it for being used in robots with high sampling rates for decades. This paper is concerned with the policy learning problem for nonlinear MPC with…

机器人学 · 计算机科学 2022-11-21 Rizhong Wang , Huiping Li , Bin Liang , Yang Shi , Demin Xu

A multirate nonlinear model predictive control (NMPC) strategy is proposed for systems with dynamics and control inputs evolving on different timescales. The proposed multirate formulation of the system model and receding horizon optimal…

最优化与控制 · 数学 2022-07-05 Yana Lishkova , Mark Cannon , Sina Ober-Blöbaum

Identification of nonlinear dynamical systems is crucial across various fields, facilitating tasks such as control, prediction, optimization, and fault detection. Many applications require methods capable of handling complex systems while…

机器学习 · 统计学 2024-11-05 Luc Brogat-Motte , Riccardo Bonalli , Alessandro Rudi

This paper addresses the particularities in optimal control of the uranium extraction-scrubbing operation in the PUREX process. The control problem requires optimally stabilizing the system at a desired solvent saturation level,…

系统与控制 · 电气工程与系统科学 2024-03-26 Duc-Tri Vo , Ionela Prodan , Laurent Lefèvre , Vincent Vanel , Sylvain Costenoble , Binh Dinh

In this paper, a safe and learning-based control framework for model predictive control (MPC) is proposed to optimize nonlinear systems with a non-differentiable objective function under uncertain environmental disturbances. The control…

机器人学 · 计算机科学 2022-02-22 Lei Zheng , Rui Yang , Zhixuan Wu , Jiesen Pan , Hui Cheng

Model predictive control (MPC) is of increasing interest in applications for constrained control of multivariable systems. However, one of the major obstacles to its broader use is the computation time and effort required to solve a…

We combine conditional state density construction with an extension of the Scenario Approach for stochastic Model Predictive Control to nonlinear systems to yield a novel particle-based formulation of stochastic nonlinear output-feedback…

最优化与控制 · 数学 2020-05-01 Martin A. Sehr , Robert R. Bitmead
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