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This article presents a dynamic regret analysis for stochastic model predictive control (SMPC) in linear systems with quadratic performance index and additive and multiplicative uncertainties. Under a finite support assumption, the problem…

最优化与控制 · 数学 2025-02-04 Sungho Shin , Sen Na , Mihai Anitescu

Existing results on finite-time model predictive control (MPC) often rely on terminal equality constraint, switching inside one-step region, or terminal cost with short control horizon, leading to limited initial feasibility. This paper…

系统与控制 · 电气工程与系统科学 2026-03-11 Bing Zhu , Xiaozhuoer Yuan , Zewei Zheng , Zongyu Zuo

This work develops a stochastic model predictive controller~(SMPC) for uncertain linear systems with additive Gaussian noise subject to state and control constraints. The proposed approach is based on the recently developed finite-horizon…

最优化与控制 · 数学 2019-11-26 Kazuhide Okamoto , Panagiotis Tsiotras

Many practical applications of control require that constraints on the inputs and states of the system be respected, while optimizing some performance criterion. In the presence of model uncertainties or disturbances, for many control…

最优化与控制 · 数学 2025-10-02 Georg Schildbach , Lorenzo Fagiano , Christoph Frei , Manfred Morari

This paper is concerned with solving chance-constrained finite-horizon optimal control problems, with a particular focus on the recursive feasibility issue of stochastic model predictive control (SMPC) in terms of mission-wide probability…

最优化与控制 · 数学 2022-09-21 Kai Wang , Sebastien Gros

We show that stochastic programming (SP) provides a framework to design hierarchical model predictive control (MPC) schemes for periodic systems. This is based on the observation that, if the state policy of an infinite-horizon problem is…

We present a stochastic model predictive control (SMPC) framework for linear systems subject to possibly unbounded disturbances. State of the art SMPC approaches with closed-loop chance constraint satisfaction recursively initialize the…

系统与控制 · 电气工程与系统科学 2022-06-22 Johannes Köhler , Melanie N. Zeilinger

In this paper we propose a stochastic model predictive control (MPC) algorithm for linear discrete-time systems affected by possibly unbounded additive disturbances and subject to probabilistic constraints. Constraints are treated in…

系统与控制 · 计算机科学 2019-02-15 Lukas Hewing , Melanie N. Zeilinger

A stochastic model predictive control (SMPC) approach is presented for discrete-time linear systems with arbitrary time-invariant probabilistic uncertainties and additive Gaussian process noise. Closed-loop stability of the SMPC approach is…

系统与控制 · 计算机科学 2015-03-17 Joel A. Paulson , Stefan Streif , Ali Mesbah

We present a stochastic model predictive control framework for nonlinear systems subject to unbounded process noise with closed-loop guarantees. First, we provide a conceptual shrinking-horizon framework that utilizes general probabilistic…

系统与控制 · 电气工程与系统科学 2025-06-06 Johannes Köhler , Melanie N. Zeilinger

Stochastic model-predictive control (SMPC) has evolved to a powerful framework for the control of stochastic dynamical systems. SMPC utilizes a probabilistic uncertainty description to provide a systematic trade-off between the control…

系统与控制 · 电气工程与系统科学 2026-05-27 Bendegúz Györök , Roland Tóth , Maarten Schoukens , Tamás Péni

This article considers the stochastic optimal control of discrete-time linear systems subject to (possibly) unbounded stochastic disturbances, hard constraints on the manipulated variables, and joint chance constraints on the states. A…

最优化与控制 · 数学 2017-06-23 Joel A. Paulson , Edward A. Buehler , Richard D. Braatz , Ali Mesbah

In recent years, the increasing interest in Stochastic model predictive control (SMPC) schemes has highlighted the limitation arising from their inherent computational demand, which has restricted their applicability to slow-dynamics and…

系统与控制 · 电气工程与系统科学 2020-05-22 Martina Mammarella , Teodoro Alamo , Fabrizio Dabbene , Matthias Lorenzen

We propose a stochastic model predictive control (MPC) framework for linear systems subject to joint-in-time chance constraints under unknown disturbance distributions. Unlike existing approaches that rely on parametric or Gaussian…

系统与控制 · 电气工程与系统科学 2026-04-21 Lukas Vogel , Andrea Carron , Eleftherios E. Vlahakis , Dimos V. Dimarogonas

We propose a data-driven receding-horizon control method dealing with the chance-constrained output-tracking problem of unknown stochastic linear time-invariant (LTI) systems with partial state observation. The proposed method takes into…

系统与控制 · 电气工程与系统科学 2025-11-13 Ruiqi Li , John W. Simpson-Porco , Stephen L. Smith

We propose a Model Predictive Control (MPC) with a single-step prediction horizon to approximate the solution of infinite horizon optimal control problems with the expected sum of convex stage costs for constrained linear uncertain systems.…

最优化与控制 · 数学 2025-04-24 Eunhyek Joa , Francesco Borrelli

A critical engineering challenge in quantum technology is the accurate control of quantum dynamics. Model-based methods for optimal control have been shown to be highly effective when theory and experiment closely match. Consequently,…

量子物理 · 物理学 2022-10-19 Andy J. Goldschmidt , Jonathan L. DuBois , Steven L. Brunton , J. Nathan Kutz

We present a stochastic model predictive control (MPC) method for linear discrete-time systems subject to possibly unbounded and correlated additive stochastic disturbance sequences. Chance constraints are treated in analogy to robust MPC…

系统与控制 · 计算机科学 2019-01-23 Lukas Hewing , Kim P. Wabersich , Melanie N. Zeilinger

Model predictive control (MPC) is one of the most successful modern control methods. It relies on repeatedly solving a finite-horizon optimal control problem and applying the beginning piece of the optimal input. In this paper, we develop a…

系统与控制 · 电气工程与系统科学 2025-09-08 Eya Guizani , Julian Berberich

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
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