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This article presents a robust control strategy using Time-Optimal Model Predictive Control (TOMPC) for a two-level quantum system subject to bounded uncertainties. In this method, the control field is optimized over a finite horizon using…

量子物理 · 物理学 2024-02-13 Yunyan Lee , Ian R. Petersen , Daoyi Dong

This paper presents a novel robust variable-horizon model predictive control scheme designed to intercept a target moving along a known trajectory, in finite time. Linear discrete-time systems affected by bounded process disturbances are…

系统与控制 · 电气工程与系统科学 2025-06-24 Renato Quartullo , Gianni Bianchini , Andrea Garulli , Antonio Giannitrapani

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

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

The main challenge in controlling hybrid systems arises from having to consider an exponential number of sequences of future modes to make good long-term decisions. Model predictive control (MPC) computes a control action through a…

最优化与控制 · 数学 2021-06-09 Sandeep Menta , Joseph Warrington , John Lygeros , Manfred Morari

This manuscript contains technical results related to a particular approach for the design of Model Predictive Control (MPC) laws. The approach, named "generalized" terminal state constraint, induces the recursive feasibility of the…

系统与控制 · 计算机科学 2013-07-16 Lorenzo Fagiano , Andrew R. Teel

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

Recently, suboptimality estimates for model predictive controllers (MPC) have been derived for the case without additional stabilizing endpoint constraints or a Lyapunov function type endpoint weight. The proposed methods yield a posteriori…

最优化与控制 · 数学 2015-03-19 Thomas Jahn , Jürgen Pannek

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

We present a Stochastic Model Predictive Control (SMPC) framework for linear systems subject to Gaussian disturbances. In order to avoid feasibility issues, we employ a recent initialization strategy, optimizing over an interpolation of the…

系统与控制 · 电气工程与系统科学 2023-04-17 Henning Schlüter , Frank Allgöwer

Motion planning for autonomous driving must account for multi-modal uncertainty in both the intentions and trajectories of surrounding vehicles. Handling uncertainty in a worst-case manner guarantees robustness but often leads to excessive…

机器人学 · 计算机科学 2026-05-22 Zekun Xing , Ramkrishna Chaudhari , Marion Leibold , Dirk Wollherr , Martin Buss

Output-Feedback Stochastic Model Predictive Control based on Stochastic Optimal Control for nonlinear systems is computationally intractable because of the need to solve a Finite Horizon Stochastic Optimal Control Problem. However, solving…

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

We propose a stochastic MPC scheme using an optimization over the initial state for the predicted trajectory. Considering linear discrete-time systems under unbounded additive stochastic disturbances subject to chance constraints, we use…

系统与控制 · 电气工程与系统科学 2022-07-19 Henning Schlüter , Frank Allgöwer

The problem of achieving a good trade-off in Stochastic Model Predictive Control between the competing goals of improving the average performance and reducing conservativeness, while still guaranteeing recursive feasibility and low…

最优化与控制 · 数学 2016-06-21 Matthias Lorenzen , Frank Allgöwer , Fabrizio Dabbene , Roberto Tempo

Automated vehicles require efficient and safe planning to maneuver in uncertain environments. Largely this uncertainty is caused by other traffic participants, e.g., surrounding vehicles. Future motion of surrounding vehicles is often…

系统与控制 · 电气工程与系统科学 2022-06-09 Tim Brüdigam , Michael Olbrich , Dirk Wollherr , Marion Leibold

In this paper, a sampling-based Stochastic Model Predictive Control algorithm is proposed for discrete-time linear systems subject to both parametric uncertainties and additive disturbances. One of the main drivers for the development of…

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

We consider the problem of simultaneous control and parameter estimation when the model is available only as a differentiable physics simulator. We propose a receding-horizon control framework in which a model predictive control (MPC)…

最优化与控制 · 数学 2026-04-07 Alan Williams , Alp Sunol

Model Predictive Control is an extremely effective control method for systems with input and state constraints. Model Predictive Control performance heavily depends on the accuracy of the open-loop prediction. For systems with uncertainty…

最优化与控制 · 数学 2022-07-27 Francesco Micheli , John Lygeros

In this paper, we address the problem of designing stochastic model predictive control (SMPC) schemes for linear systems affected by unbounded disturbances. The contribution of the paper is rooted in a measured-state initialization…

最优化与控制 · 数学 2025-04-25 Mirko Fiacchini , Martina Mammarella , Fabrizio Dabbene