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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) is a powerful framework for optimal control but can be too slow for low-latency applications. We present a data-driven framework to accelerate MPC by replacing online optimization with a nonparametric policy…

系统与控制 · 电气工程与系统科学 2026-05-20 Agustin Castellano , Shijie Pan , Enrique Mallada

We study unconstrained and constrained linear quadratic problems and investigate the suboptimality of the model predictive control (MPC) method applied to such problems. Considering MPC as an approximate scheme for solving the related fixed…

最优化与控制 · 数学 2023-06-06 Yuchao Li , Aren Karapetyan , John Lygeros , Karl H. Johansson , Jonas Mårtensson

In the framework of Model Predictive Control (MPC), the control input is typically computed by solving optimization problems repeatedly online. For general nonlinear systems, the online optimization problems are non-convex and…

最优化与控制 · 数学 2021-03-31 Zheming Wang , Raphaël M. Jungers

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

In model-predictive control (MPC), achieving the best closed-loop performance under a given computational resource is the underlying design consideration. This paper analyzes the MPC design problem with control performance and required…

最优化与控制 · 数学 2016-04-25 Vincent Bachtiar , Chris Manzie , William H. Moase , Eric C. Kerrigan

This paper is about a real-time model predictive control (MPC) algorithm for large-scale, structured linear systems with polytopic state and control constraints. The proposed controller receives the current state measurement as an input and…

最优化与控制 · 数学 2019-03-19 Yuning Jiang , Juraj Oravec , Boris Houska , Michal Kvasnica

A robust adaptive model predictive control (MPC) algorithm is presented for linear, time invariant systems with unknown dynamics and subject to bounded measurement noise. The system is characterized by an impulse response model, which is…

系统与控制 · 电气工程与系统科学 2019-11-21 Anilkumar Parsi , Andrea Iannelli , Mingzhou Yin , Mohammad Khosravi , Roy S. Smith

Model Predictive Control (MPC) has established itself as the primary methodology for constrained control, enabling autonomy across diverse applications. While model fidelity is crucial in MPC, solving the corresponding optimization problem…

系统与控制 · 电气工程与系统科学 2026-04-23 Lukas Schroth , Daniel Morton , Amon Lahr , Daniele Gammelli , Andrea Carron , Marco Pavone

Model predictive control is a control approach that minimizes a stage cost over a predicted system trajectory based on a model of the system and is capable of handling state and input constraints. For uncertain models, robust or adaptive…

系统与控制 · 电气工程与系统科学 2022-06-29 Francisco Moreno-Mora , Lukas Beckenbach , Stefan Streif

An adaptive approach to using reduced-order models as surrogates in PDE-constrained optimization is introduced that breaks the traditional offline-online framework of model order reduction. A sequence of optimization problems constrained by…

最优化与控制 · 数学 2014-07-30 Matthew J. Zahr , Charbel Farhat

The paper investigates the accuracy of the Model Predictive Control (MPC) method for finding online approximate optimal feedback control for Bolza type problems on a fixed finite horizon. The predictions for the dynamics, the state…

最优化与控制 · 数学 2025-11-17 Georgi Angelov , Alberto Domínguez Corella , Vladimir Veliov

This paper investigates adaptive model predictive control (MPC) for a class of constrained linear systems with unknown model parameters. This is also posed as the dual control problem consisting of system identification and regulation. We…

最优化与控制 · 数学 2020-11-24 Kunwu Zhang , Yang Shi

For discrete-time linear systems subject to parametric uncertainty described by random variables, we develop a sampling-based Stochastic Model Predictive Control algorithm. Unlike earlier results employing a scenario approximation, we…

系统与控制 · 计算机科学 2016-06-21 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

Model predictive control (MPC) is a widely used modern control technique with numerous successful application in diverse areas. Much of this success is due to the ability of MPC to enforce state and control constraints, which are crucial in…

系统与控制 · 电气工程与系统科学 2020-09-23 Tam W. Nguyen , Syed Aseem Ul Islam , Dennis S. Bernstein , Ilya V. Kolmanovsky

In this work we propose tailored model order reduction for varying boundary optimal control problems governed by parametric partial differential equations. With varying boundary control, we mean that a specific parameter changes where the…

数值分析 · 数学 2024-01-22 Maria Strazzullo , Fabio Vicini

This paper presents a time-optimal Model Predictive Control (MPC) scheme for linear discrete-time systems subject to multiplicative uncertainties represented by interval matrices. To render the uncertainty propagation computationally…

系统与控制 · 电气工程与系统科学 2026-03-26 Renato Quartullo , Andrea Garulli , Mirko Leomanni

In this paper, we propose an online learning-based predictive control (LPC) approach designed for nonlinear systems that lack explicit system dynamics. Unlike traditional model predictive control (MPC) algorithms that rely on known system…

最优化与控制 · 数学 2025-03-17 Yuanqing Zhang , Huanshui Zhang

This paper presents a stochastic model predictive controller (SMPC) for linear time-invariant systems in the presence of additive disturbances. The distribution of the disturbance is unknown and is assumed to have a bounded support. A…

系统与控制 · 电气工程与系统科学 2022-10-03 Hotae Lee , Monimoy Bujarbaruah , Francesco Borrelli

We propose an iterative approach for designing Robust Learning Model Predictive Control (LMPC) policies for a class of nonlinear systems with additive, unmodelled dynamics. The nominal dynamics are assumed to be difference flat, i.e., the…

系统与控制 · 电气工程与系统科学 2023-03-23 Siddharth H. Nair , Francesco Borrelli