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This paper proposes an on-policy reinforcement learning (RL) control algorithm that solves the optimal regulation problem for a class of uncertain continuous-time nonlinear systems under user-defined state constraints. We formulate the safe…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Soutrik Bandyopadhyay , Shubhendu Bhasin

Recently, safe reinforcement learning (RL) with the actor-critic structure for continuous control tasks has received increasing attention. It is still challenging to learn a near-optimal control policy with safety and convergence…

Machine Learning · Computer Science 2024-02-06 Xinglong Zhang , Yaoqian Peng , Biao Luo , Wei Pan , Xin Xu , Haibin Xie

Reinforcement learning (RL) has demonstrated impressive performance in various areas such as video games and robotics. However, ensuring safety and stability, which are two critical properties from a control perspective, remains a…

Systems and Control · Electrical Eng. & Systems 2023-10-02 Liqun Zhao , Konstantinos Gatsis , Antonis Papachristodoulou

Traditional control theory-based methods require tailored engineering for each system and constant fine-tuning. In power plant control, one often needs to obtain a precise representation of the system dynamics and carefully design the…

Systems and Control · Electrical Eng. & Systems 2024-09-21 Yixuan Sun , Sami Khairy , Richard B. Vilim , Rui Hu , Akshay J. Dave

Lagrangian methods are widely used algorithms for constrained optimization problems, but their learning dynamics exhibit oscillations and overshoot which, when applied to safe reinforcement learning, leads to constraint-violating behavior…

Optimization and Control · Mathematics 2020-07-09 Adam Stooke , Joshua Achiam , Pieter Abbeel

Safety is a primary challenge in real-world reinforcement learning (RL). Formulating safety requirements as state-wise constraints has become a prominent paradigm. Handling state-wise constraints with the Lagrangian method requires a…

Machine Learning · Computer Science 2026-05-04 Jiaming Zhang , Yujie Yang , Yao Lyu , Shengbo Eben Li , Liping Zhang

We examine online safe multi-agent reinforcement learning using constrained Markov games in which agents compete by maximizing their expected total rewards under a constraint on expected total utilities. Our focus is confined to an episodic…

Machine Learning · Computer Science 2023-06-02 Dongsheng Ding , Xiaohan Wei , Zhuoran Yang , Zhaoran Wang , Mihailo R. Jovanović

Real-world reinforcement learning (RL) offers a promising approach to training precise and dexterous robotic manipulation policies in an online manner, enabling robots to learn from their own experience while gradually reducing human labor.…

Reinforcement Learning (RL) is a powerful method for controlling dynamic systems, but its learning mechanism can lead to unpredictable actions that undermine the safety of critical systems. Here, we propose RL with Adaptive Regularization…

Machine Learning · Computer Science 2024-11-01 Haozhe Tian , Homayoun Hamedmoghadam , Robert Shorten , Pietro Ferraro

Safe reinforcement learning (Safe RL) seeks to maximize rewards while satisfying safety constraints, typically addressed through Lagrangian-based methods. However, existing approaches, including PID and classical Lagrangian methods, suffer…

Machine Learning · Computer Science 2026-01-27 Mingxu Zhang , Huicheng Zhang , Jiaming Ji , Yaodong Yang , Ying Sun

The safety constraints commonly used by existing safe reinforcement learning (RL) methods are defined only on expectation of initial states, but allow each certain state to be unsafe, which is unsatisfying for real-world safety-critical…

Machine Learning · Computer Science 2021-06-15 Haitong Ma , Yang Guan , Shegnbo Eben Li , Xiangteng Zhang , Sifa Zheng , Jianyu Chen

Reinforcement learning (RL) is promising for complicated stochastic nonlinear control problems. Without using a mathematical model, an optimal controller can be learned from data evaluated by certain performance criteria through…

Systems and Control · Electrical Eng. & Systems 2020-11-16 Minghao Han , Yuan Tian , Lixian Zhang , Jun Wang , Wei Pan

Reinforcement learning (RL) has been widely used in decision-making and control tasks, but the risk is very high for the agent in the training process due to the requirements of interaction with the environment, which seriously limits its…

Machine Learning · Computer Science 2024-09-13 Xuemin Hu , Pan Chen , Yijun Wen , Bo Tang , Long Chen

In safe offline reinforcement learning (RL), the objective is to develop a policy that maximizes cumulative rewards while strictly adhering to safety constraints, utilizing only offline data. Traditional methods often face difficulties in…

Machine Learning · Computer Science 2026-02-11 Prajwal Koirala , Zhanhong Jiang , Soumik Sarkar , Cody Fleming

Safety is essential for reinforcement learning (RL) applied in the real world. Adding chance constraints (or probabilistic constraints) is a suitable way to enhance RL safety under uncertainty. Existing chance-constrained RL methods like…

Machine Learning · Computer Science 2021-08-27 Baiyu Peng , Jingliang Duan , Jianyu Chen , Shengbo Eben Li , Genjin Xie , Congsheng Zhang , Yang Guan , Yao Mu , Enxin Sun

Reinforcement Learning (RL) is essentially a trial-and-error learning procedure which may cause unsafe behavior during the exploration-and-exploitation process. This hinders the application of RL to real-world control problems, especially…

Machine Learning · Computer Science 2021-05-03 Yutong Li , Nan Li , H. Eric Tseng , Anouck Girard , Dimitar Filev , Ilya Kolmanovsky

Diffusion policy sampling enables reinforcement learning (RL) to represent multimodal action distributions beyond suboptimal unimodal Gaussian policies. However, existing diffusion-based RL methods primarily focus on offline settings for…

Machine Learning · Computer Science 2026-05-07 Xiaoyuan Cheng , Wenxuan Yuan , Boyang Li , Yuanchao Xu , Yiming Yang , Hao Liang , Bei Peng , Robert Loftin , Zhuo Sun , Yukun Hu

We study the problem of safe offline reinforcement learning (RL), the goal is to learn a policy that maximizes long-term reward while satisfying safety constraints given only offline data, without further interaction with the environment.…

Machine Learning · Computer Science 2022-04-11 Haoran Xu , Xianyuan Zhan , Xiangyu Zhu

Reinforcement learning (RL) is a control approach that can handle nonlinear stochastic optimal control problems. However, despite the promise exhibited, RL has yet to see marked translation to industrial practice primarily due to its…

Machine Learning · Computer Science 2021-04-15 Elton Pan , Panagiotis Petsagkourakis , Max Mowbray , Dongda Zhang , Antonio del Rio-Chanona

This paper considers the problem of solving constrained reinforcement learning (RL) problems with anytime guarantees, meaning that the algorithmic solution must yield a constraint-satisfying policy at every iteration of its evolution. Our…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Pol Mestres , Arnau Marzabal , Jorge Cortés
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