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This paper proposes a state reduction method for learning-based model predictive control (MPC) for train rescheduling in urban rail transit systems. The state reduction integrates into a control framework where the discrete decision…

Systems and Control · Electrical Eng. & Systems 2025-04-30 Caio Fabio Oliveira da Silva , Xiaoyu Liu , Azita Dabiri , Bart De Schutter

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

In this paper we present a framework for risk-averse model predictive control (MPC) of linear systems affected by multiplicative uncertainty. Our key innovation is to consider time-consistent, dynamic risk metrics as objective functions to…

Optimization and Control · Mathematics 2015-11-24 Yin-Lam Chow , Marco Pavone

Safe learning of control policies remains challenging, both in optimal control and reinforcement learning. In this article, we consider safe learning of parametrized predictive controllers that operate with incomplete information about the…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Sebastian Hirt , Maik Pfefferkorn , Rolf Findeisen

A common problem when using model predictive control (MPC) in practice is the satisfaction of safety specifications beyond the prediction horizon. While theoretical works have shown that safety can be guaranteed by enforcing a suitable…

Robotics · Computer Science 2025-07-09 Ji Yin , Oswin So , Eric Yang Yu , Chuchu Fan , Panagiotis Tsiotras

Path-tracking control of self-driving vehicles can benefit from deep learning for tackling longstanding challenges such as nonlinearity and uncertainty. However, deep neural controllers lack safety guarantees, restricting their practical…

Robotics · Computer Science 2022-08-09 Zhizhen Qin , Tsui-Wei Weng , Sicun Gao

We present an approach for designing correct-by-construction neural networks (and other machine learning models) that are guaranteed to be consistent with a collection of input-output specifications before, during, and after algorithm…

Machine Learning · Computer Science 2020-01-31 Stephen Mell , Olivia Brown , Justin Goodwin , Sung-Hyun Son

Model Predictive Control (MPC) is widely used in robot control by optimizing a sequence of control outputs over a finite-horizon. Computational approaches for MPC include deterministic methods (e.g., iLQR and COBYLA), as well as…

Robotics · Computer Science 2025-11-03 Zhaoxin Li , Xiaoke Wang , Letian Chen , Rohan Paleja , Subramanya Nageshrao , Matthew Gombolay

To efficiently deploy robotic systems in society, mobile robots must move autonomously and safely through complex environments. Nonlinear model predictive control (MPC) methods provide a natural way to find a dynamically feasible trajectory…

This paper introduces a novel method for robust output-feedback model predictive control (MPC) for a class of nonlinear discrete-time systems. We propose a novel interval-valued predictor which, given an initial estimate of the state,…

Systems and Control · Electrical Eng. & Systems 2025-04-15 Scott Brown , Mohammad Khajenejad , Aamodh Suresh , Sonia Martinez

We propose a machine learning framework to synthesize reactive controllers for systems whose interactions with their adversarial environment are modeled by infinite-duration, two-player games over (potentially) infinite graphs. Our…

Computer Science and Game Theory · Computer Science 2020-11-03 Daniel Neider , Oliver Markgraf

Model Predictive Control (MPC) is a powerful control strategy widely utilized in domains like energy management, building control, and autonomous systems. However, its effectiveness in real-world settings is challenged by the need to…

Systems and Control · Electrical Eng. & Systems 2025-09-08 Ruixiang Wu , Jiahao Ai , Tongxin Li

We present a learning model predictive control (MPC) scheme for chance-constrained Markov jump systems with unknown switching probabilities. Using samples of the underlying Markov chain, ambiguity sets of transition probabilities are…

Optimization and Control · Mathematics 2023-01-06 Mathijs Schuurmans , Panagiotis Patrinos

Automated driving at unsignalized intersections is challenging due to complex multi-vehicle interactions and the need to balance safety and efficiency. Model Predictive Control (MPC) offers structured constraint handling through…

Robotics · Computer Science 2026-04-16 Saeed Rahmani , Gözde Körpe , Zhenlin , Xu , Bruno Brito , Simeon Craig Calvert , Bart van Arem

While distributed algorithms provide advantages for the control of complex large-scale systems by requiring a lower local computational load and less local memory, it is a challenging task to design high-performance distributed control…

Systems and Control · Electrical Eng. & Systems 2021-10-01 Simon Muntwiler , Kim P. Wabersich , Andrea Carron , Melanie N. Zeilinger

This paper introduces the Feasibility Governor (FG): an add-on unit that enlarges the region of attraction of Model Predictive Control by manipulating the reference to ensure that the underlying optimal control problem remains feasible. The…

Optimization and Control · Mathematics 2023-10-03 Terrence Skibik , Dominic Liao-McPherson , Torbjørn Cunis , Ilya Kolmanovsky , Marco M. Nicotra

In this paper, we present a data-driven model predictive control (MPC) scheme that is capable of stabilizing unknown linear time-invariant systems under the influence of process disturbances. To this end, Willems' lemma is used to predict…

Systems and Control · Electrical Eng. & Systems 2022-03-15 Christian Klöppelt , Julian Berberich , Frank Allgöwer , Matthias A. Müller

We present an approach for safe trajectory planning, where a strategic task related to autonomous racing is learned sample-efficient within a simulation environment. A high-level policy, represented as a neural network, outputs a reward…

Robotics · Computer Science 2022-12-06 Rudolf Reiter , Jasper Hoffmann , Joschka Boedecker , Moritz Diehl

We present a model predictive control (MPC) framework for nonlinear stochastic systems that ensures safety guarantee with high probability. Unlike most existing stochastic MPC schemes, our method adopts a set-erosion that converts the…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Zishun Liu , Liqian Ma , Yongxin Chen

The decision and planning system for autonomous driving in urban environments is hard to design. Most current methods manually design the driving policy, which can be expensive to develop and maintain at scale. Instead, with imitation…

Robotics · Computer Science 2019-10-15 Jianyu Chen , Bodi Yuan , Masayoshi Tomizuka