A Control Barrier Function-Constrained Model Predictive Control Framework for Safe Reinforcement Learning

Fuente: arXiv
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Main Authors: Kaypak, Ali Umut, Krishnamurthy, Prashanth, Khorrami, Farshad
Format: Preprint
Published: 2026
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author Kaypak, Ali Umut
Krishnamurthy, Prashanth
Khorrami, Farshad
author_facet Kaypak, Ali Umut
Krishnamurthy, Prashanth
Khorrami, Farshad
contents Ensuring safety under unknown and stochastic dynamics remains a significant challenge in reinforcement learning (RL). In this paper, we propose a model predictive control (MPC)-based safe RL framework, called Probabilistic Ensembles with CBF-constrained Trajectory Sampling (PECTS), to address this challenge. PECTS jointly learns stochastic system dynamics with probabilistic neural networks (PNNs) and control barrier functions (CBFs) with Lipschitz-bounded neural networks. Safety is enforced by incorporating learned CBF constraints into the MPC formulation while accounting for the model stochasticity. This enables probabilistic safety under model uncertainty. To solve the resulting MPC problem, we utilize a sampling-based optimizer together with a safe trajectory sampling method that discards unsafe trajectories based on the learned system model and CBF. We validate PECTS in various simulation studies, where it outperforms baseline methods.
format Preprint
id arxiv_https___arxiv_org_abs_2604_06463
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Control Barrier Function-Constrained Model Predictive Control Framework for Safe Reinforcement Learning
Kaypak, Ali Umut
Krishnamurthy, Prashanth
Khorrami, Farshad
Systems and Control
Ensuring safety under unknown and stochastic dynamics remains a significant challenge in reinforcement learning (RL). In this paper, we propose a model predictive control (MPC)-based safe RL framework, called Probabilistic Ensembles with CBF-constrained Trajectory Sampling (PECTS), to address this challenge. PECTS jointly learns stochastic system dynamics with probabilistic neural networks (PNNs) and control barrier functions (CBFs) with Lipschitz-bounded neural networks. Safety is enforced by incorporating learned CBF constraints into the MPC formulation while accounting for the model stochasticity. This enables probabilistic safety under model uncertainty. To solve the resulting MPC problem, we utilize a sampling-based optimizer together with a safe trajectory sampling method that discards unsafe trajectories based on the learned system model and CBF. We validate PECTS in various simulation studies, where it outperforms baseline methods.
title A Control Barrier Function-Constrained Model Predictive Control Framework for Safe Reinforcement Learning
topic Systems and Control
url https://arxiv.org/abs/2604.06463