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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 present a data-driven algorithm for efficiently computing stochastic control policies for general joint chance constrained optimal control problems. Our approach leverages the theory of kernel distribution embeddings, which allows…

Systems and Control · Electrical Eng. & Systems 2022-02-10 Adam J. Thorpe , Thomas Lew , Meeko M. K. Oishi , Marco Pavone

This paper studies the problem of developing computationally efficient solutions for steering the distribution of the state of a stochastic, linear dynamical system between two boundary Gaussian distributions in the presence of…

Systems and Control · Electrical Eng. & Systems 2024-03-25 Joshua Pilipovsky , Panagiotis Tsiotras

Model predictive control strategies require to solve in an sequential manner, many, possibly non-convex, optimization problems. In this work, we propose an interacting stochastic agent system to solve those problems. The agents evolve in…

Optimization and Control · Mathematics 2023-12-21 Giacomo Borghi , Michael Herty

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…

Systems and Control · Computer Science 2016-05-13 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

The computation of chance constraints in stochastic model predictive control is often numerically challenging due to the non-Gaussian nature of the disturbances. To overcome this problem, we propose an optimization computational framework…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Yuwei Ying , Johan Löfberg , Anders Hansson

In this paper we introduce a novel approach to distributionally robust optimal control that supports online learning of the ambiguity set, while guaranteeing recursive feasibility. We introduce conic representable risk, which is useful to…

Systems and Control · Electrical Eng. & Systems 2021-12-13 Peter Coppens , Panagiotis Patrinos

This paper presents a Distributed Stochastic Model Predictive Control algorithm for networks of linear systems with multiplicative uncertainties and local chance constraints on the states and control inputs. The chance constraints are…

Optimization and Control · Mathematics 2023-03-07 Christoph Mark , Steven Liu

We propose a novel data-driven stochastic model predictive control framework for uncertain linear systems with noisy output measurements. Our approach leverages multi-step predictors to efficiently propagate uncertainty, ensuring chance…

Systems and Control · Electrical Eng. & Systems 2025-03-18 Haldun Balim , Andrea Carron , Melanie N. Zeilinger , Johannes Köhler

Positive systems describing networks with inherently non-negative states and inputs arise naturally in routing, logistics, and compartmental modelling. We consider problems modelled as positive linear systems in incidence form with linear…

Optimization and Control · Mathematics 2026-05-28 Roland Schurig , David Ohlin , Anders Rantzer , Emma Tegling , Rolf Findeisen

This paper studies a data-driven predictive control for a class of control-affine systems which is subject to uncertainty. With the accessibility to finite sample measurements of the uncertain variables, we aim to find controls which are…

Optimization and Control · Mathematics 2021-05-03 Dan Li , Dariush Fooladivanda , Sonia Martinez

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…

Systems and Control · Electrical Eng. & Systems 2022-06-09 Tim Brüdigam , Michael Olbrich , Dirk Wollherr , Marion Leibold

This paper investigates the robust optimal control of sampled-data stochastic systems with multiplicative noise and distributional ambiguity. We consider a class of discrete-time optimal control problems where the controller \emph{jointly}…

Optimization and Control · Mathematics 2026-02-05 Chung-Han Hsieh

In this paper a new framework has been applied to the design of controllers which encompasses nonlinearity, hysteresis and arbitrary density functions of forward models and inverse controllers. Using mixture density networks, the…

Optimization and Control · Mathematics 2018-01-09 Randa Herzallah

Control of nonlinear uncertain systems is a common challenge in the robotics field. Nonlinear latent force models, which incorporate latent uncertainty characterized as Gaussian processes, carry the promise of representing such systems…

Robotics · Computer Science 2022-07-29 Thomas Woodruff , Iman Askari , Guanghui Wang , Huazhen Fang

Model Predictive Control evolved as the state of the art paradigm for safety critical control tasks. Control-as-Inference approaches thereof model the constrained optimization problem as a probabilistic inference problem. The constraints…

Optimization and Control · Mathematics 2025-11-21 Jörn Tebbe , Andreas Besginow , Markus Lange-Hegermann

We consider the problem of steering, via output feedback, the state distribution of a discrete-time, linear stochastic system from an initial Gaussian distribution to a terminal Gaussian distribution with prescribed mean and maximum…

Optimization and Control · Mathematics 2020-09-11 Jack Ridderhof , Kazuhide Okamoto , Panagiotis Tsiotras

Distributionally robust control is a well-studied framework for optimal decision making under uncertainty, with the objective of minimizing an expected cost function over control actions, assuming the most adverse probability distribution…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Alexandros E. Tzikas , Lukas Fiechtner , Arec Jamgochian , Mykel J. Kochenderfer

Stochastic inverse problems considered in this article consist of estimating the probability distributions of intrinsically random inputs of computer models. These estimations are based on observable outputs affected by model noise, and…

Statistics Theory · Mathematics 2025-03-17 Nicolas Bousquet , Mélanie Blazère , Thomas Cerbelaud

Safety is essential for reinforcement learning (RL) applied in real-world situations. Chance constraints are suitable to represent the safety requirements in stochastic systems. Previous chance-constrained RL methods usually have a low…

Machine Learning · Computer Science 2021-03-17 Baiyu Peng , Yao Mu , Yang Guan , Shengbo Eben Li , Yuming Yin , Jianyu Chen