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We present a sample-based Learning Model Predictive Controller (LMPC) for constrained uncertain linear systems subject to bounded additive disturbances. The proposed controller builds on earlier work on LMPC for deterministic systems.…

Systems and Control · Computer Science 2021-01-22 Ugo Rosolia , Francesco Borrelli

Reinforcement Learning (RL) has recently impressed the world with stunning results in various applications. While the potential of RL is now well-established, many critical aspects still need to be tackled, including safety and stability…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Mario Zanon , Sébastien Gros

Safety is a critical feature of controller design for physical systems. When designing control policies, several approaches to guarantee this aspect of autonomy have been proposed, such as robust controllers or control barrier functions.…

Machine Learning · Computer Science 2021-02-26 Miguel Calvo-Fullana , Luiz F. O. Chamon , Santiago Paternain

Nonlinear Robust Model Predictive Control (RMPC) provides a very promising solution to the problem of automatic emergency maneuvering, which is capable of handling multiple possibly conflicting objectives of robustness and performance. Even…

Systems and Control · Electrical Eng. & Systems 2021-09-28 Vivek Bithar , Punit Tulpule , Shawn Midlam-Mohler

Obtaining safety guarantees for reinforcement learning is a major challenge to achieve applicability for real-world tasks. Safety shields extend standard reinforcement learning and achieve hard safety guarantees. However, existing safety…

Machine Learning · Computer Science 2025-11-27 Jin Pin , Krasowski Hanna , Vanneaux Elena

In this paper, we present a methodology to deploy the deterministic policy gradient method, using actor-critic techniques, when the optimal policy is approximated using a parametric optimization problem, where safety is enforced via hard…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Sebastien Gros , Mario Zanon

A computationally efficient nonlinear Model Predictive Control (NMPC) algorithm is proposed for safe learning-based control with a system model represented by an incompletely known affine combination of basis functions and subject to…

Optimization and Control · Mathematics 2025-03-19 Johannes Buerger , Mark Cannon

Safety-critical applications require controllers/policies that can guarantee safety with high confidence. The control barrier function is a useful tool to guarantee safety if we have access to the ground-truth system dynamics. In practice,…

Machine Learning · Computer Science 2021-12-30 Athindran Ramesh Kumar , Sulin Liu , Jaime F. Fisac , Ryan P. Adams , Peter J. Ramadge

Ensuring safety of nonlinear systems under model uncertainty and external disturbances is crucial, especially for real-world control tasks. Predictive methods such as robust model predictive control (RMPC) require solving nonconvex…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Zeyang Li , Chuxiong Hu , Weiye Zhao , Changliu Liu

This paper presents a risk-aware safe reinforcement learning (RL) control design for stochastic discrete-time linear systems. Rather than using a safety certifier to myopically intervene with the RL controller, a risk-informed safe…

Systems and Control · Electrical Eng. & Systems 2025-05-16 Babak Esmaeili , Nariman Niknejad , Hamidreza Modares

We present a general framework for optimizing the Conditional Value-at-Risk for dynamical systems using stochastic search. The framework is capable of handling the uncertainty from the initial condition, stochastic dynamics, and uncertain…

Optimization and Control · Mathematics 2021-02-16 Ziyi Wang , Oswin So , Keuntaek Lee , Camilo A. Duarte , Evangelos A. Theodorou

We propose and analyze a real-time model predictive control (MPC) scheme that utilizes stored data to improve its performance by learning the value function online with stability guarantees. For linear and nonlinear systems, a learning…

Optimization and Control · Mathematics 2020-09-23 Lukas Schwenkel , Meriem Gharbi , Sebastian Trimpe , Christian Ebenbauer

We address the problem of safely learning controlled stochastic dynamics from discrete-time trajectory observations, ensuring system trajectories remain within predefined safe regions during both training and deployment. Safety-critical…

Machine Learning · Statistics 2026-02-03 Luc Brogat-Motte , Alessandro Rudi , Riccardo Bonalli

The growing need for high-performance controllers in safety-critical applications like autonomous driving has been motivating the development of formal safety verification techniques. In this paper, we design and implement a predictive…

Systems and Control · Electrical Eng. & Systems 2021-02-25 Ben Tearle , Kim P. Wabersich , Andrea Carron , Melanie N. Zeilinger

In this paper, we present a tube-based framework for robust adaptive model predictive control (RAMPC) for nonlinear systems subject to parametric uncertainty and additive disturbances. Set-membership estimation is used to provide accurate…

Systems and Control · Electrical Eng. & Systems 2020-10-21 Johannes Köhler , Peter Kötting , Raffaele Soloperto , Frank Allgöwer , Matthias A. Müller

We present a novel framework for robust out-of-distribution planning and control using conformal prediction (CP) and system level synthesis (SLS), addressing the challenge of ensuring safety and robustness when using learned dynamics models…

Robotics · Computer Science 2026-02-13 Anutam Srinivasan , Antoine Leeman , Glen Chou

We propose a computationally efficient nonlinear Model Predictive Control (NMPC) algorithm for safe, learning-based control. The system model is represented as an affine combination of basis functions with unknown parameters, and is subject…

Optimization and Control · Mathematics 2026-03-06 Johannes Buerger , Mark Cannon

This research introduces a multi-horizon contingency model predictive control (CMPC) framework in which classes of robust MPC (RMPC) algorithms are combined with classes of learning-based MPC (LB-MPC) algorithms to enable safe learning. We…

Optimization and Control · Mathematics 2025-05-30 Merlijne Geurts , Tren Baltussen , Alexander Katriniok , Maurice Heemels

In offline reinforcement learning (RL), we learn policies from fixed datasets without environment interaction. The major challenges are to provide guarantees on the (1) performance and (2) safety of the resulting policy. A technique called…

Machine Learning · Computer Science 2026-05-12 Maris F. L. Galesloot , Thomas Rhemrev , Nils Jansen

This paper introduces a novel nonlinear stochastic model predictive control path integral (MPPI) method, which considers chance constraints on system states. The proposed belief-space stochastic MPPI (BSS-MPPI) applies Monte-Carlo sampling…

Robotics · Computer Science 2024-08-16 Ji Yin , Panagiotis Tsiotras , Karl Berntorp