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A classic reachability problem for safety of dynamic systems is to compute the set of initial states from which the state trajectory is guaranteed to stay inside a given constraint set over a given time horizon. In this paper, we leverage…

Ensuring safety is important for the practical deployment of reinforcement learning (RL). Various challenges must be addressed, such as handling stochasticity in the environments, providing rigorous guarantees of persistent state-wise…

Machine Learning · Computer Science 2023-09-26 Milan Ganai , Zheng Gong , Chenning Yu , Sylvia Herbert , Sicun Gao

This paper presents a learning-based optimal control framework for safety-critical systems with parametric uncertainties, addressing both time-triggered and self-triggered controller implementations. First, we develop a robust control…

Systems and Control · Electrical Eng. & Systems 2025-07-31 Zhanglin Shangguan , Bo Yang , Qi Li , Wei Xiao , Xingping Guan

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…

Robotics · Computer Science 2020-11-11 Kaleb Ben Naveed , Zhiqian Qiao , John M. Dolan

Recently, there has been immense interest in using unmanned aerial vehicles (UAVs) for civilian operations. As a result, unmanned aerial systems traffic management is needed to ensure the safety and goal satisfaction of potentially…

Multiagent Systems · Computer Science 2017-02-01 Mo Chen , Qie Hu , Jaime Fisac , Kene Akametalu , Casey Mackin , Claire Tomlin

Neural networks (NNs) have been shown to learn complex control laws successfully, often with performance advantages or decreased computational cost compared to alternative methods. Neural network controllers (NNCs) are, however, highly…

Systems and Control · Electrical Eng. & Systems 2023-09-08 Oliver Gates , Matthew Newton , Konstantinos Gatsis

Reachability analysis is a formal method to guarantee safety of dynamical systems under the influence of uncertainties. A substantial bottleneck of all reachability algorithms is the necessity to adequately tune specific algorithm…

Numerical Analysis · Mathematics 2024-02-23 Mark Wetzlinger , Niklas Kochdumper , Stanley Bak , Matthias Althoff

For an infinite-horizon control problem, the optimal control can be represented by the stable manifold of the characteristic Hamiltonian system of Hamilton-Jacobi-Bellman (HJB) equation in a semiglobal domain. In this paper, we first…

Optimization and Control · Mathematics 2024-05-14 Guoyuan Chen

Deploying autonomous systems in safety critical settings necessitates methods to verify their safety properties. This is challenging because real-world systems may be subject to disturbances that affect their performance, but are unknown a…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Nicholas Rober , Karan Mahesh , Tyler M. Paine , Max L. Greene , Steven Lee , Sildomar T. Monteiro , Michael R. Benjamin , Jonathan P. How

Balancing the trade-off between safety and efficiency is of significant importance for path planning under uncertainty. Many risk-aware path planners have been developed to explicitly limit the probability of collision to an acceptable…

Robotics · Computer Science 2022-10-26 Fei Meng , Liangliang Chen , Han Ma , Jiankun Wang , Max Q. -H. Meng

Autonomous systems, such as self-driving cars and drones, have made significant strides in recent years by leveraging visual inputs and machine learning for decision-making and control. Despite their impressive performance, these…

Robotics · Computer Science 2024-10-31 Kaustav Chakraborty , Aryaman Gupta , Somil Bansal

Autonomous systems, like vehicles or robots, require reliable, accurate, fast, resource-efficient, scalable, and low-latency trajectory predictions to get initial knowledge about future locations and movements of surrounding objects for…

Computer Vision and Pattern Recognition · Computer Science 2024-10-11 Manuel Hetzel , Hannes Reichert , Konrad Doll , Bernhard Sick

This study explores human-robot interaction (HRI) based on a mobile robot and YOLO to increase real-time situation awareness and prevent accidents in the workplace. Using object segmentation, we propose an approach that is capable of…

Robotics · Computer Science 2024-09-25 Juan M. Deniz , Andre S. Kelboucas , Ricardo Bedin Grando

Safe value functions, such as control barrier functions, characterize a safe set and synthesize a safety filter, overriding unsafe actions, for a dynamic system. While function approximators like neural networks can synthesize approximately…

Robotics · Computer Science 2024-09-10 Sander Tonkens , Alex Toofanian , Zhizhen Qin , Sicun Gao , Sylvia Herbert

This paper introduces the Hamilton-Jacobi-Bellman Proximal Policy Optimization (HJBPPO) algorithm into reinforcement learning. The Hamilton-Jacobi-Bellman (HJB) equation is used in control theory to evaluate the optimality of the value…

Machine Learning · Computer Science 2023-02-02 Amartya Mukherjee , Jun Liu

Sequential decision making using Markov Decision Process underpins many realworld applications. Both model-based and model free methods have achieved strong results in these settings. However, real-world tasks must balance reward…

Machine Learning · Computer Science 2026-04-01 Janaka Chathuranga Brahmanage , Akshat Kumar

In order to develop provably safe human-in-the-loop systems, accurate and precise models of human behavior must be developed. In the case of intelligent vehicles, one can imagine the need for predicting driver behavior to develop minimally…

Systems and Control · Computer Science 2017-05-03 Katherine Driggs-Campbell , Roy Dong , S. Shankar Sastry , Ruzena Bajcsy

Learning-based approaches have recently shown notable success in legged locomotion. However, these approaches often lack accountability, necessitating empirical tests to determine their effectiveness. In this work, we are interested in…

Robotics · Computer Science 2024-09-26 Xingpeng Xia , Jason J. Choi , Ayush Agrawal , Koushil Sreenath , Claire J. Tomlin , Somil Bansal

When a system's constraints change abruptly, the system's reachability safety does no longer sustain. Thus, the system can reach a forbidden/dangerous value. Conventional remedy practically involves online controller redesign (OCR) to…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Henghua Shen , Qixin Wang

Robust topology optimization (RTO), as a class of topology optimization problems, identifies a design with the best average performance while reducing the response sensitivity to input uncertainties, e.g. load uncertainty. Solving RTO is…

Machine Learning · Computer Science 2024-08-22 Rini Jasmine Gladstone , Mohammad Amin Nabian , Vahid Keshavarzzadeh , Hadi Meidani