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Model predictive control (MPC) is an optimal control method that predicts the future states of the system being controlled and estimates the optimal control inputs that drive the predicted states to the required reference. The computations…

系统与控制 · 电气工程与系统科学 2023-05-05 Eslam Mostafa , Hussein A. Aly , Ahmed Elliethy

Model predictive control (MPC) is a popular control method that has proved effective for robotics, among other fields. MPC performs re-planning at every time step. Re-planning is done with a limited horizon per computational and real-time…

机器人学 · 计算机科学 2017-03-22 Aviv Tamar , Garrett Thomas , Tianhao Zhang , Sergey Levine , Pieter Abbeel

This paper presents a tutorial and survey on Probabilistic Inference-based Model Predictive Control (PI-MPC). PI-MPC reformulates finite-horizon optimal control as inference over an optimal control distribution expressed as a Boltzmann…

机器人学 · 计算机科学 2026-04-09 Kohei Honda

We introduce a Model Predictive Control (MPC) framework for training deep neural networks, systematically unifying the Back-Propagation (BP) and Forward-Forward (FF) algorithms. At the same time, it gives rise to a range of intermediate…

机器学习 · 计算机科学 2024-10-01 Lianhai Ren , Qianxiao Li

Model predictive control (MPC) is a method to formulate the optimal scheduling problem for grid flexibilities in a mathematical manner. The resulting time-constrained optimization problem can be re-solved in each optimization time step…

系统与控制 · 电气工程与系统科学 2021-08-20 Steven de Jongh , Sina Steinle , Anna Hlawatsch , Felicitas Mueller , Michael Suriyah , Thomas Leibfried

Model Predictive Control (MPC) is widely used in robot control by optimizing a sequence of control outputs over a finite-horizon. Computational approaches for MPC include deterministic methods (e.g., iLQR and COBYLA), as well as…

机器人学 · 计算机科学 2025-11-03 Zhaoxin Li , Xiaoke Wang , Letian Chen , Rohan Paleja , Subramanya Nageshrao , Matthew Gombolay

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

Model Predictive Control (MPC) offers rigorous safety and performance guarantees but is computationally intensive. Approximate MPC (AMPC) aims to circumvent this drawback by learning a computationally cheaper surrogate policy. Common…

系统与控制 · 电气工程与系统科学 2025-11-19 Elias Milios , Kim P. Wabersich , Felix Berkel , Felix Gruber , Melanie N. Zeilinger

The Iterative Forecast Planner (IFP) is a geometric planning approach that offers lightweight computations, scalable, and reactive solutions for multi-robot path planning in decentralized, communication-free settings. However, it struggles…

机器人学 · 计算机科学 2025-08-13 Hadush Hailu , Bruk Gebregziabher , Prudhvi Raj

This paper proposes an iterative distributionally robust model predictive control (MPC) scheme to solve a risk-constrained infinite-horizon optimal control problem. In each iteration, the algorithm generates a trajectory from the starting…

最优化与控制 · 数学 2023-08-23 Alireza Zolanvari , Ashish Cherukuri

Model predictive control (MPC) is an optimal control strategy where control input calculation is based on minimizing the predicted tracking error over a finite horizon that moves with time. This strategy has an advantage over conventional…

系统与控制 · 电气工程与系统科学 2021-12-28 Joseph Chai , Eran Medagoda , Erkan Kayacan

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 (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

Model predictive control (MPC) is a popular control engineering practice, but requires a sound knowledge of the model. Model-free predictive control (MFPC), a burning issue today, also related to reinforcement learning (RL) in AI, is…

系统与控制 · 电气工程与系统科学 2025-04-23 Cédric Join , Emmanuel Delaleau , Michel Fliess

We propose model predictive funnel control, a novel model predictive control (MPC) scheme building upon recent results in funnel control. The latter is a high-gain feedback methodology that achieves evolution of the measured output within…

最优化与控制 · 数学 2025-05-27 Jens Göbel , Dario Dennstädt , Lukas Lanza , Karl Worthmann , Thomas Berger , Tobias Damm

In this paper we present a framework for risk-averse model predictive control (MPC) of linear systems affected by multiplicative uncertainty. Our key innovation is to consider time-consistent, dynamic risk metrics as objective functions to…

最优化与控制 · 数学 2015-11-24 Yin-Lam Chow , Marco Pavone

Model Predictive Control (MPC) has proven to be a powerful tool for the control of systems with constraints. Nonetheless, in many applications, a major challenge arises, that is finding the optimal solution within a single sampling instant…

系统与控制 · 电气工程与系统科学 2023-08-16 Valentina Breschi , Simone Formentin , Alberto Leva

We propose a distributed model predictive control (MPC) framework for coordinating heterogeneous, nonlinear multi-agent systems under individual and coupling constraints. The cooperative task is encoded as a shared objective function…

系统与控制 · 电气工程与系统科学 2026-03-11 Matthias Köhler , Matthias A. Müller , Frank Allgöwer

This paper proposes a novel robust Model Predictive Control (MPC) scheme for linear discrete-time systems affected by model uncertainty described by interval matrices. The key feature of the proposed method is a bound on the uncertainty…

系统与控制 · 电气工程与系统科学 2026-02-20 Renato Quartullo , Andrea Garulli , Mirko Leomanni

Multi-objective model predictive control (MOMPC) for fixed point stabilization requires an automated a priori decision-making (DM) mechanism to translate a high-level preference into a single solution. To this aim, we introduce an approach…

最优化与控制 · 数学 2026-04-21 Markus Herrmann-Wicklmayr , Kathrin Flaßkamp
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