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The desire to use reinforcement learning in safety-critical settings has inspired a recent interest in formal methods for learning algorithms. Existing formal methods for learning and optimization primarily consider the problem of…

人工智能 · 计算机科学 2019-06-05 Nathan Fulton , Andre Platzer

Planning safe trajectories under uncertain and dynamic conditions makes the autonomous driving problem significantly complex. Current sampling-based methods such as Rapidly Exploring Random Trees (RRTs) are not ideal for this problem…

机器人学 · 计算机科学 2020-11-11 Kaleb Ben Naveed , Zhiqian Qiao , John M. Dolan

Learning how to learn efficiently is a fundamental challenge for biological agents and a growing concern for artificial ones. To learn effectively, an agent must regulate its learning speed, balancing the benefits of rapid improvement…

机器学习 · 计算机科学 2026-01-13 Valentina Njaradi , Rodrigo Carrasco-Davis , Peter E. Latham , Andrew Saxe

We propose a design method for a robust safety filter based on Input Constrained Control Barrier Functions (ICCBF) for car-like robots moving in complex environments. A robust ICCBF that can be efficiently implemented is obtained by…

机器人学 · 计算机科学 2024-02-21 Sven Brüggemann , Dominic Nightingale , Jack Silberman , Maurício de Oliveira

Given a set of trajectories demonstrating the execution of a task safely in a constrained MDP with observable rewards but with unknown constraints and non-observable costs, we aim to find a policy that maximizes the likelihood of…

机器学习 · 计算机科学 2026-03-02 George Papadopoulos , George A. Vouros

Reinforcement Learning (RL) algorithms show amazing performance in recent years, but placing RL in real-world applications such as self-driven vehicles may suffer safety problems. A self-driven vehicle moving to a target position following…

系统与控制 · 电气工程与系统科学 2022-07-05 Huanhui Cao , Zhiyuan Cai , Hairuo Wei , Wenjie Lu , Lin Zhang , Hao Xiong

Hamilton-Jacobi (HJ) reachability analysis is a widely adopted verification tool to provide safety and performance guarantees for autonomous systems. However, it involves solving a partial differential equation (PDE) to compute a safety…

机器人学 · 计算机科学 2025-05-12 Aditya Singh , Zeyuan Feng , Somil Bansal

Designing optimal controllers for nonlinear dynamical systems often relies on reinforcement learning and adaptive dynamic programming (ADP) to approximate solutions of the Hamilton Jacobi Bellman (HJB) equation. However, these methods…

最优化与控制 · 数学 2025-11-27 Akash Vyas , Shreyas Kumar , Jayant Kumar Mohanta , Ravi Prakash

Hamilton-Jacobi (HJ) reachability provides formal safety guarantees for dynamical systems, but solving high-dimensional HJ partial differential equations limits its use in real-time planning. This paper presents a contingency-aware…

机器人学 · 计算机科学 2026-03-19 Kasidit Muenprasitivej , Derya Aksaray

In this paper, we propose a novel image restoration framework that integrates optimal control techniques with the Hamilton-Jacobi-Bellman (HJB) equation. Motivated by models from production planning, our method restores degraded images by…

偏微分方程分析 · 数学 2025-05-13 Dragos-Patru Covei

Reach-avoid optimal control problems, in which the system must reach certain goal conditions while staying clear of unacceptable failure modes, are central to safety and liveness assurance for autonomous robotic systems, but their exact…

机器学习 · 计算机科学 2022-01-25 Kai-Chieh Hsu , Vicenç Rubies-Royo , Claire J. Tomlin , Jaime F. Fisac

Reinforcement learning (RL)-based methods have achieved significant success in managing grid-interactive efficient buildings (GEBs). However, RL does not carry intrinsic guarantees of constraint satisfaction, which may lead to severe safety…

系统与控制 · 电气工程与系统科学 2024-09-13 Xiang Huo , Boming Liu , Jin Dong , Jianming Lian , Mingxi Liu

Autonomous vehicles must navigate dynamically uncertain environments while balancing safety and efficiency. This challenge is exacerbated by unpredictable human-driven vehicle (HV) behaviors and perception inaccuracies, necessitating…

机器人学 · 计算机科学 2026-04-16 Rui Yang , Lei Zheng , Shuzhi Sam Ge , Jun Ma

Safe Reinforcement Learning (RL) is crucial for achieving high performance while ensuring safety in real-world applications. However, the complex interplay of multiple uncertainty sources in real environments poses significant challenges…

机器学习 · 计算机科学 2026-03-17 Xu Wan , Chao Yang , Cheng Yang , Jie Song , Mingyang Sun

Reinforcement learning (RL) is attracting increasing interests in autonomous driving due to its potential to solve complex classification and control problems. However, existing RL algorithms are rarely applied to real vehicles for two…

机器学习 · 计算机科学 2020-03-04 Lu Wen , Jingliang Duan , Shengbo Eben Li , Shaobing Xu , Huei Peng

Autonomous systems are increasingly deployed in real-world environments, where they must achieve high performance while maintaining safety under state and input constraints. Although Model Predictive Control (MPC) provides a principled…

机器人学 · 计算机科学 2026-04-28 Hao Wang , Nam Nguyen , Armand Jordana , Ludovic Righetti , Somil Bansal

Over the decades, kinematic controllers have proven to be practically useful for applications like set-point and trajectory tracking in robotic systems. To this end, we formulate a novel safety-critical paradigm for kinematic control in…

系统与控制 · 电气工程与系统科学 2020-09-22 Andrew Singletary , Shishir Kolathaya , Aaron D. Ames

This paper studies the problem of utilizing data-driven adaptive control techniques to guarantee stability and safety of uncertain nonlinear systems with high relative degree. We first introduce the notion of a High Order Robust Adaptive…

系统与控制 · 电气工程与系统科学 2022-10-11 Max H. Cohen , Calin Belta

Motivated by the lack of systematic tools to obtain safe control laws for hybrid systems, we propose an optimization-based framework for learning certifiably safe control laws from data. In particular, we assume a setting in which the…

系统与控制 · 电气工程与系统科学 2020-11-10 Lars Lindemann , Haimin Hu , Alexander Robey , Hanwen Zhang , Dimos V. Dimarogonas , Stephen Tu , Nikolai Matni

In this paper, we present a controller framework that synthesizes control policies for Jump Markov Linear Systems subject to stochastic mode switches and imperfect mode estimation. Our approach builds on safe and robust methods for Model…

系统与控制 · 电气工程与系统科学 2024-09-17 Zakariya Laouar , Qi Heng Ho , Rayan Mazouz , Tyler Becker , Zachary N. Sunberg
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