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The use of Model Predictive Control in industry is steadily increasing as more complicated problems can be addressed. Due to that online optimization is usually performed, the main bottleneck with Model Predictive Control is the relatively…

最优化与控制 · 数学 2014-01-31 Isak Nielsen , Daniel Axehill

In Model Predictive Control (MPC) the control input is computed by solving a constrained finite-time optimal control (CFTOC) problem at each sample in the control loop. The main computational effort is often spent on computing the search…

最优化与控制 · 数学 2017-03-23 Isak Nielsen , Daniel Axehill

Model predictive control (MPC) is a powerful framework for optimal control of dynamical systems. However, MPC solvers suffer from a high computational burden that restricts their application to systems with low sampling frequency. This…

最优化与控制 · 数学 2025-03-12 Casian Iacob , Hany Abdulsamad , Simo Särkkä

This paper proposes a new sampling-based nonlinear model predictive control (MPC) algorithm, with a bound on complexity quadratic in the prediction horizon N and linear in the number of samples. The idea of the proposed algorithm is to use…

系统与控制 · 计算机科学 2017-01-13 R. V. Bobiti , M. Lazar

Model Predictive Control (MPC) is an optimal control algorithm with strong stability and robustness guarantees. Despite its popularity in robotics and industrial applications, the main challenge in deploying MPC is its high computation…

系统与控制 · 电气工程与系统科学 2024-12-31 Camilo Gonzalez , Houshyar Asadi , Lars Kooijman , Chee Peng Lim

The Massive Parallel Computing (MPC) model gained popularity during the last decade and it is now seen as the standard model for processing large scale data. One significant shortcoming of the model is that it assumes to work on static…

分布式、并行与集群计算 · 计算机科学 2019-05-23 Giuseppe F. Italiano , Silvio Lattanzi , Vahab S. Mirrokni , Nikos Parotsidis

A method is presented for parallelizing the computation of solutions to discrete-time, linear-quadratic, finite-horizon optimal control problems, which we will refer to as LQR problems. This class of problem arises frequently in robotic…

最优化与控制 · 数学 2018-09-18 Forrest Laine , Claire Tomlin

In model predictive control (MPC), the choice of cost-weighting matrices and designing the Hessian matrix directly affects the trade-off between rapid state regulation and minimizing the control effort. However, traditional MPC in quadratic…

系统与控制 · 电气工程与系统科学 2026-02-13 Komeil Nosrati , Juri Belikov , Aleksei Tepljakov , Eduard Petlenkov

This paper proposes a parallelizable algorithm for linear-quadratic model predictive control (MPC) problems with state and input constraints. The algorithm itself is based on a parallel MPC scheme that has originally been designed for…

最优化与控制 · 数学 2022-07-04 Jiahe Shi , Yuning Jiang , Juraj Oravec , Boris Houska

Establishing an execution time certificate in deploying model predictive control (MPC) is a pressing and challenging requirement. As nonlinear MPC (NMPC) results in nonlinear programs, differing from quadratic programs encountered in linear…

系统与控制 · 电气工程与系统科学 2024-02-27 Liang Wu , Krystian Ganko , Shimin Wang , Richard D. Braatz

In this note, we consider infinite horizon optimal control problems with deterministic systems. Since exact solutions to these problems are often intractable, we propose a parallel model predictive control (MPC) method that provides an…

最优化与控制 · 数学 2025-04-29 Yuchao Li , Aren Karapetyan , Niklas Schmid , John Lygeros , Karl H. Johansson , Jonas Mårtensson

A key motivation in the development of Distributed Model Predictive Control (DMPC) is to accelerate centralized Model Predictive Control (MPC) for large-scale systems. DMPC has the prospect of scaling well by parallelizing computations…

最优化与控制 · 数学 2025-04-16 Gösta Stomberg , Maurice Raetsch , Alexander Engelmann , Timm Faulwasser

Model predictive control (MPC) provides a useful means for controlling systems with constraints, but suffers from the computational burden of repeatedly solving an optimization problem in real time. Offline (explicit) solutions for MPC…

系统与控制 · 电气工程与系统科学 2022-09-14 Daniel Tabas , Baosen Zhang

We propose a parallel adaptive constraint-tightening approach to solve a linear model predictive control problem for discrete-time systems, based on inexact numerical optimization algorithms and operator splitting methods. The underlying…

最优化与控制 · 数学 2015-03-24 Laura Ferranti , Tamas Keviczky

This paper proposes an off-line algorithm, called Recurrent Model Predictive Control (RMPC), to solve general nonlinear finite-horizon optimal control problems. Unlike traditional Model Predictive Control (MPC) algorithms, it can make full…

系统与控制 · 电气工程与系统科学 2021-02-24 Zhengyu Liu , Jingliang Duan , Wenxuan Wang , Shengbo Eben Li , Yuming Yin , Ziyu Lin , Qi Sun , Bo Cheng

Markov Chain Monte Carlo (MCMC) is a well-established family of algorithms primarily used in Bayesian statistics to sample from a target distribution when direct sampling is challenging. Existing work on Bayesian decision trees uses MCMC.…

统计计算 · 统计学 2023-01-24 Efthyvoulos Drousiotis , Paul G. Spirakis , Simon Maskell

System level synthesis enables improved robust MPC formulations by allowing for joint optimization of the nominal trajectory and controller. This paper introduces a tailored algorithm for solving the corresponding disturbance feedback…

Recent strides in nonlinear model predictive control (NMPC) underscore a dependence on numerical advancements to efficiently and accurately solve large-scale problems. Given the substantial number of variables characterizing typical…

机器人学 · 计算机科学 2024-06-04 Wilson Jallet , Ewen Dantec , Etienne Arlaud , Justin Carpentier , Nicolas Mansard

Markov chain Monte Carlo (MCMC) methods are foundational algorithms for Bayesian inference and probabilistic modeling. However, most MCMC algorithms are inherently sequential and their time complexity scales linearly with the sequence…

统计计算 · 统计学 2025-12-03 David M. Zoltowski , Skyler Wu , Xavier Gonzalez , Leo Kozachkov , Scott W. Linderman

We propose a computationally efficient rollout-then-optimize method to improve a learned control policy at deployment time. A learned policy provides a nominal trajectory, which is refined online by a single Newton step implemented via a…

最优化与控制 · 数学 2026-04-13 Andrea Ghezzi , Rudolf Reiter , Katrin Baumgärtner , Alberto Bemporad , Moritz Diehl
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