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This study addresses the stochastic Model Predictive Control (MPC) problem for linear time-invariant systems subjected to unknown disturbance distributions. By leveraging the most recent disturbance data, we construct a set of distributions…

系统与控制 · 电气工程与系统科学 2026-04-15 Xu Chen , Lorenz Dörschel

This article introduces a novel distributionally robust model predictive control (DRMPC) algorithm for a specific class of controlled dynamical systems where the disturbance multiplies the state and control variables. These classes of…

最优化与控制 · 数学 2024-10-04 Souvik Das , Siddhartha Ganguly , Ashwin Aravind , Debasish Chatterjee

We study Model Predictive Control (MPC) and propose a general analysis pipeline to bound its dynamic regret. The pipeline first requires deriving a perturbation bound for a finite-time optimal control problem. Then, the perturbation bound…

最优化与控制 · 数学 2022-10-25 Yiheng Lin , Yang Hu , Guannan Qu , Tongxin Li , Adam Wierman

Classical stochastic control assumes perfect knowledge of the uncertainty affecting the plant. In practice, however, such information is often incomplete. To address this limitation, we consider a distributionally robust control (DRC)…

系统与控制 · 电气工程与系统科学 2026-05-06 Riccardo Cescon , Andrea Martin , Giancarlo Ferrari-Trecate

This paper presents a distributed stochastic model predictive control (SMPC) approach for large-scale linear systems with private and common uncertainties in a plug-and-play framework. Using the so-called scenario approach, the centralized…

最优化与控制 · 数学 2019-01-09 V. Rostampour , T. Keviczky

We study the problem of distributed online control of networked systems with time-varying cost functions and disturbances, where each node only has local information of the states and forecasts of the costs and disturbances. We develop a…

最优化与控制 · 数学 2025-07-18 Eric Xu , Soummya Kar , Guannan Qu

This paper proposes a distributionally robust approach to regret optimal control of discrete-time linear dynamical systems with quadratic costs subject to a stochastic additive disturbance on the state process. The underlying probability…

最优化与控制 · 数学 2023-08-17 Feras Al Taha , Shuhao Yan , Eilyan Bitar

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

Constraint tightening to non-conservatively guarantee recursive feasibility and stability in Stochastic Model Predictive Control is addressed. Stability and feasibility requirements are considered separately, highlighting the difference…

系统与控制 · 计算机科学 2016-05-13 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

This paper presents a distributionally robust model predictive control (DRMPC) framework for the optimal Virtual Power Plant (VPP) operation under electricity price uncertainty. A unified VPP model is formulated that captures the…

系统与控制 · 电气工程与系统科学 2026-05-15 Nikolas Recke , Mathias Hudoba de Badyn

This paper investigates the joint optimization of condition-based maintenance and spare provisioning, incorporating insights obtained from sensor data. Prognostic models estimate components' remaining lifetime distributions (RLDs), which…

最优化与控制 · 数学 2025-07-14 Heraldo Rozas , Weijun Xie , Nagi Gebraeel , Stephen Robinson

We consider a class of finite-horizon, linear-quadratic stochastic control problems, where the probability distribution governing the noise process is unknown but assumed to belong to an ambiguity set consisting of all distributions whose…

最优化与控制 · 数学 2026-04-21 Feras Al Taha , Eilyan Bitar

We study the infinite-horizon distributionally robust (DR) control of linear systems with quadratic costs, where disturbances have unknown, possibly time-correlated distribution within a Wasserstein-2 ambiguity set. We aim to minimize the…

最优化与控制 · 数学 2024-06-12 Taylan Kargin , Joudi Hajar , Vikrant Malik , Babak Hassibi

Long prediction horizons in Model Predictive Control (MPC) often prove to be efficient, however, this comes with increased computational cost. Recently, a Robust Model Predictive Control (RMPC) method has been proposed which exploits models…

系统与控制 · 电气工程与系统科学 2021-05-17 Tim Brüdigam , Johannes Teutsch , Dirk Wollherr , Marion Leibold

Policy design in non-stationary Markov Decision Processes (MDPs) is inherently challenging due to the complexities introduced by time-varying system transition and reward, which make it difficult for learners to determine the optimal…

机器学习 · 计算机科学 2025-11-17 Ziyi Zhang , Yorie Nakahira , Guannan Qu

In this paper we present a framework for risk-sensitive model predictive control (MPC) of linear systems affected by stochastic multiplicative uncertainty. Our key innovation is to consider a time-consistent, dynamic risk evaluation of the…

最优化与控制 · 数学 2018-04-26 Sumeet Singh , Yin-Lam Chow , Anirudha Majumdar , Marco Pavone

The parameters for a Markov Decision Process (MDP) often cannot be specified exactly. Uncertain MDPs (UMDPs) capture this model ambiguity by defining sets which the parameters belong to. Minimax regret has been proposed as an objective for…

人工智能 · 计算机科学 2023-02-14 Marc Rigter , Bruno Lacerda , Nick Hawes

In this paper, we study the dynamic regret of online linear quadratic regulator (LQR) control with time-varying cost functions and disturbances. We consider the case where a finite look-ahead window of cost functions and disturbances is…

最优化与控制 · 数学 2021-02-03 Runyu Zhang , Yingying Li , Na Li

Conventional stochastic control methods have several limitations. They focus on optimizing the average performance and, in some cases, performance variability; however, their problem settings still require an explicit specification of the…

最优化与控制 · 数学 2026-03-12 Yuma Shida , Yuji Ito

We study control of constrained linear systems with only partial statistical information about the uncertainty affecting the system dynamics and the sensor measurements. Specifically, given a finite collection of disturbance realizations…