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This paper designs a model predictive control (MPC) law for constrained linear systems with stochastic additive disturbances and noisy measurements, minimising a discounted cost subject to a discounted expectation constraint. It is assumed…

Systems and Control · Electrical Eng. & Systems 2022-04-22 Shuhao Yan , Mark Cannon , Paul J. Goulart

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…

Optimization and Control · Mathematics 2025-07-18 Eric Xu , Soummya Kar , Guannan Qu

Model predictive control (MPC) schemes have a proven track record for delivering aggressive and robust performance in many challenging control tasks, coping with nonlinear system dynamics, constraints, and observational noise. Despite their…

Robotics · Computer Science 2024-01-24 Lucas Barcelos , Alexander Lambert , Rafael Oliveira , Paulo Borges , Byron Boots , Fabio Ramos

We propose a data-driven control method for systems with aleatoric uncertainty, for example, robot fleets with variations between agents. Our method leverages shared trajectory data to increase the robustness of the designed controller and…

Robotics · Computer Science 2024-03-25 Alexander von Rohr , Dmitrii Likhachev , Sebastian Trimpe

The non-convexity and intractability of distributionally robust chance constraints make them challenging to cope with. From a data-driven perspective, we propose formulating it as a robust optimization problem to ensure that the…

Optimization and Control · Mathematics 2023-06-23 Zhiping Chen , Wentao Ma , Bingbing Ji

In this work, we exploit an offline-sampling based strategy for the constrained data-driven predictive control of an unknown linear system subject to random measurement noise. The strategy uses only past measured, potentially noisy data in…

Systems and Control · Electrical Eng. & Systems 2024-09-26 Johannes Teutsch , Sebastian Kerz , Tim Brüdigam , Dirk Wollherr , Marion Leibold

This paper presents two stochastic model predictive control methods for linear time-invariant systems subject to unbounded additive uncertainties. The new methods are developed by formulating the chance constraints into deterministic form,…

Systems and Control · Electrical Eng. & Systems 2021-04-22 Fei Li , Huiping Li , Yuyao He

We present a novel $Q$-learning algorithm tailored to solve distributionally robust Markov decision problems where the corresponding ambiguity set of transition probabilities for the underlying Markov decision process is a Wasserstein ball…

Machine Learning · Computer Science 2024-06-21 Ariel Neufeld , Julian Sester

We propose a robust data-driven output feedback control algorithm that explicitly incorporates inherent finite-sample model estimate uncertainties into the control design. The algorithm has three components: (1) a subspace identification…

Systems and Control · Electrical Eng. & Systems 2022-05-12 Benjamin Gravell , Iman Shames , Tyler Summers

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…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Lukas Vogel , Andrea Carron , Eleftherios E. Vlahakis , Dimos V. Dimarogonas

Distributional ambiguity sets provide quantifiable ways to characterize the uncertainty about the true probability distribution of random variables of interest. This makes them a key element in data-driven robust optimization by exploiting…

Optimization and Control · Mathematics 2019-09-26 Dimitris Boskos , Jorge Cortés , Sonia Martínez

Data-driven controllers design is an important research problem, in particular when data is corrupted by the noise. In this paper, we propose a data-driven min-max model predictive control (MPC) scheme using noisy input-state data for…

Systems and Control · Electrical Eng. & Systems 2025-01-31 Yifan Xie , Julian Berberich , Frank Allgöwer

Data-Driven Predictive Control (DDPC) has been recently proposed as an effective alternative to traditional Model Predictive Control (MPC), in that the same constrained optimization problem can be addressed without the need to explicitly…

Systems and Control · Electrical Eng. & Systems 2025-05-14 Valentina Breschi , Marco Fabris , Simone Formentin , Alessandro Chiuso

The paper studies the robustness properties of discrete-time stochastic optimal control under Wasserstein model approximation for both discounted-cost and average-cost criteria. Specifically, we study the performance loss when applying an…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Yichen Zhou , Yanglei Song , Serdar Yüksel

The effects of treatments are often heterogeneous, depending on the observable characteristics, and it is necessary to exploit such heterogeneity to devise individualized treatment rules (ITRs). Existing estimation methods of such ITRs…

Econometrics · Economics 2022-08-09 Daido Kido

Many systems are subject to periodic disturbances and exhibit repetitive behaviour. Model-based repetitive control employs knowledge of such periodicity to attenuate periodic disturbances and has seen a wide range of successful industrial…

Systems and Control · Electrical Eng. & Systems 2024-08-28 Rogier Dinkla , Tom Oomen , Sebastiaan Mulders , Jan-Willem van Wingerden

This paper focuses on the contextual optimization problem where a decision is subject to some uncertain parameters and covariates that have some predictive power on those parameters are available before the decision is made. More…

Optimization and Control · Mathematics 2024-08-12 Zhaoen Li , Maoqi Liu , Zhi-Hai Zhang

Linear-Quadratic-Gaussian (LQG) control is a fundamental control paradigm that is studied in various fields such as engineering, computer science, economics, and neuroscience. It involves controlling a system with linear dynamics and…

Optimization and Control · Mathematics 2023-11-02 Bahar Taşkesen , Dan A. Iancu , Çağıl Koçyiğit , Daniel Kuhn

Motivated by large-scale but computationally constrained settings, e.g., the Internet of Things, we present a novel data-driven distributed control algorithm that is synthesized directly from trajectory data. Our method, data-driven…

Systems and Control · Electrical Eng. & Systems 2021-12-24 Carmen Amo Alonso , Fengjun Yang , Nikolai Matni

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…

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