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This paper presents an adaptive horizon multi-stage model-predictive control (MPC) algorithm. It establishes appropriate criteria for recursive feasibility and robust stability using the theory of input-to-state practical stability (ISpS).…

最优化与控制 · 数学 2023-06-23 Zawadi Mdoe , Dinesh Krishnamoorthy , Johannes Jäschke

Model predictive control (MPC) is a powerful trajectory optimization control technique capable of controlling complex nonlinear systems while respecting system constraints and ensuring safe operation. The MPC's capabilities come at the cost…

系统与控制 · 电气工程与系统科学 2021-02-23 Eivind Bøhn , Sebastien Gros , Signe Moe , Tor Arne Johansen

Reducing the computation time of model predictive control (MPC) is important, especially for systems constrained by many state constraints. In this paper, we propose a new online constraint removal framework for linear systems, for which we…

最优化与控制 · 数学 2023-08-29 S. A. N. Nouwens , M. M. Paulides , W. P. M. H. Heemels

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

We study the problem of online learning in predictive control of an unknown linear dynamical system with time varying cost functions which are unknown apriori. Specifically, we study the online learning problem where the control algorithm…

机器学习 · 计算机科学 2022-11-01 Deepan Muthirayan , Jianjun Yuan , Dileep Kalathil , Pramod P. Khargonekar

Model Predictive Control (MPC) is a well-established approach to solve infinite horizon optimal control problems. Since optimization over an infinite time horizon is generally infeasible, MPC determines a suboptimal feedback control by…

最优化与控制 · 数学 2022-10-26 Saskia Dietze , Martin A. Grepl

This paper presents an algorithm to solve the infinite horizon constrained linear quadratic regulator (CLQR) problem using operator splitting methods. First, the CLQR problem is reformulated as a (finite-time) model predictive control (MPC)…

最优化与控制 · 数学 2016-09-20 L. Ferranti , G. Stathopoulos , C. N. Jones , T. Keviczky

This article addresses obstacle avoidance motion planning for autonomous vehicles, specifically focusing on highway overtaking maneuvers. The control design challenge is handled by considering a mathematical vehicle model that captures both…

系统与控制 · 电气工程与系统科学 2026-04-03 Gianni Cario , Valentino Carriuolo , Alessandro Casavola , Gianfranco Gagliardi , Marco Lupia , Franco Angelo Torchiaro

Model predictive control (MPC) is a powerful technique for solving dynamic control tasks. In this paper, we show that there exists a close connection between MPC and online learning, an abstract theoretical framework for analyzing online…

机器人学 · 计算机科学 2019-10-10 Nolan Wagener , Ching-An Cheng , Jacob Sacks , Byron Boots

Implementation of Model Predictive Control (MPC) on hardware with limited computational resources remains a challenge. Especially for long-distance maneuvers that require small sampling times, the necessary horizon lengths prevent its…

机器人学 · 计算机科学 2024-08-16 Philipp Schitz , Johann C. Dauer , Paolo Mercorelli

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

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

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

In this work, we propose a Model Predictive Control (MPC) formulation incorporating two distinct horizons: a prediction horizon and a constraint horizon. This approach enables a deeper understanding of how constraints influence key system…

系统与控制 · 电气工程与系统科学 2025-03-25 Allan Andre Do Nascimento , Han Wang , Antonis Papachristodoulou , Kostas Margellos

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 robust adaptive model predictive control (MPC) scheme for linear systems subject to parametric uncertainty and additive disturbances. The proposed approach provides a computationally efficient formulation with…

系统与控制 · 电气工程与系统科学 2020-03-12 Johannes Köhler , Elisa Andina , Raffaele Soloperto , Matthias A. Müller , Frank Allgöwer

Data-driven model predictive control (MPC) has demonstrated significant potential for improving robot control performance in the presence of model uncertainties. However, existing approaches often require extensive offline data collection…

机器人学 · 计算机科学 2025-10-10 Yu Mei , Xinyu Zhou , Shuyang Yu , Vaibhav Srivastava , Xiaobo Tan

In this paper, we focus on the problem of shrinking-horizon Model Predictive Control (MPC) in uncertain dynamic environments. We consider controlling a deterministic autonomous system that interacts with uncontrollable stochastic agents…

系统与控制 · 电气工程与系统科学 2024-05-20 Charis Stamouli , Lars Lindemann , George J. Pappas

Minimum Attention Control (MAC) is a control technique that provides minimal input changes to meet the control objective. Mathematically, the zero norm of the input changes is used as a constraint for the given control objective and…

系统与控制 · 电气工程与系统科学 2025-07-31 Ganesh Teja Theertham , Santhosh Kumar Varanasi , Phanindra Jampana

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