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In this paper we discuss distributional robustness in the context of stochastic model predictive control (SMPC) for linear time-invariant systems. We derive a simple approximation of the MPC problem under an additive zero-mean i.i.d. noise…

最优化与控制 · 数学 2023-03-07 Christoph Mark , Steven Liu

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

In this paper, we address the stochastic MPC (SMPC) problem for linear systems, subject to chance state constraints and hard input constraints, under unknown noise distribution. First, we reformulate the chance state constraints as…

系统与控制 · 电气工程与系统科学 2022-04-05 Charis Stamouli , Anastasios Tsiamis , Manfred Morari , George J. Pappas

Model Predictive Control (MPC) is widely recognized for its ability to explicitly handle system constraints. In practice, system states are often affected by disturbances with unknown distributions. While robust MPC guarantees constraint…

系统与控制 · 电气工程与系统科学 2026-03-11 Weijiang Zheng , Jiayi Huang , Bing Zhu

This paper develops a distributed model predictive control (DMPC) strategy for a class of discrete-time linear systems with consideration of globally coupled constraints. The DMPC under study is based on the dual problem concerning all…

最优化与控制 · 数学 2019-07-25 Yanxu Su , Yang Shi , Changyin Sun

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

Distributed model predictive control methods for uncertain systems often suffer from considerable conservatism and can tolerate only small uncertainties due to the use of robust formulations that are amenable to distributed design and…

系统与控制 · 电气工程与系统科学 2022-03-03 Simon Muntwiler , Kim P. Wabersich , Lukas Hewing , Melanie N. Zeilinger

Stochastic model predictive control (SMPC) has been a promising solution to complex control problems under uncertain disturbances. However, traditional SMPC approaches either require exact knowledge of probabilistic distributions, or rely…

最优化与控制 · 数学 2020-01-03 Chao Shang , Fengqi You

This paper studies the problem of distributionally robust model predictive control (MPC) using total variation distance ambiguity sets. For a discrete-time linear system with additive disturbances, we provide a conditional value-at-risk…

系统与控制 · 电气工程与系统科学 2022-06-27 Anushri Dixit , Mohamadreza Ahmadi , Joel W. Burdick

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

This paper presents a distributionally robust stochastic model predictive control (SMPC) approach for linear discrete-time systems subject to unbounded and correlated additive disturbances. We consider hard input constraints and state…

最优化与控制 · 数学 2021-09-21 Christoph Mark , Steven Liu

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

In this paper we propose an output-feedback Model Predictive Control (MPC) algorithm for linear discrete-time systems affected by a possibly unbounded additive noise and subject to probabilistic constraints. In case the noise distribution…

系统与控制 · 计算机科学 2014-08-29 Marcello Farina , Luca Giulioni , Lalo Magni , Riccardo Scattolini

We analyse the conservatism and regret of distributionally robust (DR) stochastic model predictive control (SMPC) when using moment-based ambiguity sets for modeling unknown uncertainties. To quantify the conservatism, we compare the…

系统与控制 · 电气工程与系统科学 2024-03-15 Maik Pfefferkorn , Venkatraman Renganathan , Rolf Findeisen

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

We study the problem of finite-time constrained optimal control of unknown stochastic linear time-invariant systems, which is the key ingredient of a predictive control algorithm -- albeit typically having access to a model. We propose a…

最优化与控制 · 数学 2021-07-22 Jeremy Coulson , John Lygeros , Florian Dörfler

The problem of synthesizing stochastic explicit model predictive control policies is known to be quickly intractable even for systems of modest complexity when using classical control-theoretic methods. To address this challenge, we present…

机器学习 · 计算机科学 2022-05-24 Ján Drgoňa , Sayak Mukherjee , Aaron Tuor , Mahantesh Halappanavar , Draguna Vrabie

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

We address the issue of control of a stochastic two-component granulation process in pharmaceutical applications through using Stochastic Model Predictive Control (SMPC) and model reduction to obtain the desired particle distribution. We…

最优化与控制 · 数学 2017-04-18 Negar Hashemian , Antonios Armaou

We establish a collection of closed-loop guarantees and propose a scalable optimization algorithm for distributionally robust model predictive control (DRMPC) applied to linear systems, convex constraints, and quadratic costs. Via standard…

最优化与控制 · 数学 2024-11-13 Robert D. McAllister , Peyman Mohajerin Esfahani
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