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Run Time Assurance (RTA) Systems are online verification mechanisms that filter an unverified primary controller output to ensure system safety. The primary control may come from a human operator, an advanced control approach, or an…

Systems and Control · Electrical Eng. & Systems 2023-03-28 Kerianne Hobbs , Mark Mote , Matthew Abate , Samuel Coogan , Eric Feron

Optimal path parameterization (OPP) is a fundamental problem for planning trajectories along a prescribed geometric path under kinodynamic constraints and task-dependent objectives. While TOPP minimizes traversal time, its saturating states…

Optimization and Control · Mathematics 2026-05-20 Yunan Wang , Jizhou Yan , Chuxiong Hu , Zeyang Li

Real-time long-range local planning is a challenging task, especially in the presence of dynamics obstacles. We propose a complete system which is capable of performing the local replanning in real-time. Desired trajectory is needed in the…

Robotics · Computer Science 2020-11-04 Geesara Kulathunga , Roman Fedorenko , Sergey Kopylov , Alexandr Klimchik

In this paper, a novel real-time acceleration-continuous path-constrained trajectory planning algorithm is proposed with an appealing built-in tradability mechanism between cruise motion and time-optimal motion. Different from existing…

Robotics · Computer Science 2018-12-11 Peiyao Shen , Xuebo Zhang , Yongchun Fang

Neural Networks (NNs) can provide major empirical performance improvements for robotic systems, but they also introduce challenges in formally analyzing those systems' safety properties. In particular, this work focuses on estimating the…

Systems and Control · Electrical Eng. & Systems 2021-05-26 Michael Everett , Golnaz Habibi , Jonathan P. How

Reachability queries ask whether there exists a path from the source vertex to the target vertex on a graph. Recently, several powerful reachability queries, such as Label-Constrained Reachability (LCR) queries and Regular Path Queries…

Databases · Computer Science 2025-11-04 Huihui Yang , Pingpeng Yuan

We present DDTO--deferred-decision trajectory optimization--a framework for trajectory generation with resilience to unmodeled uncertainties and contingencies. The key idea is to ensure that a collection of candidate targets is reachable…

Optimization and Control · Mathematics 2025-02-11 Purnanand Elango , Selahattin Burak Sarsilmaz , Behcet Acikmese

Density of the reachable states can help understand the risk of safety-critical systems, especially in situations when worst-case reachability is too conservative. Recent work provides a data-driven approach to compute the density…

Robotics · Computer Science 2022-09-19 Yue Meng , Zeng Qiu , Md Tawhid Bin Waez , Chuchu Fan

This paper investigates performance guarantees on coverage-based ergodic exploration methods in environments containing disturbances. Ergodic exploration methods generate trajectories for autonomous robots such that time spent in each area…

Robotics · Computer Science 2024-12-11 Henry Berger , Ian Abraham

Constrained reinforcement learning (CRL) has gained significant interest recently, since safety constraints satisfaction is critical for real-world problems. However, existing CRL methods constraining discounted cumulative costs generally…

Machine Learning · Computer Science 2022-06-08 Dongjie Yu , Haitong Ma , Shengbo Eben Li , Jianyu Chen

Path planning for autonomous vehicles in arbitrary environments requires a guarantee of safety, but this can be impractical to ensure in real-time when the vehicle is described with a high-fidelity model. To address this problem, this paper…

Systems and Control · Computer Science 2017-05-02 Shreyas Kousik , Sean Vaskov , Matthew Johnson-Roberson , Ramanarayan Vasudevan

Generating receding-horizon motion trajectories for autonomous vehicles in real-time while also providing safety guarantees is challenging. This is because a future trajectory needs to be planned before the previously computed trajectory is…

Robotics · Computer Science 2024-03-20 Jonathan Michaux , Qingyi Chen , Challen Enninful Adu , Jinsun Liu , Ram Vasudevan

A constant-rate multi-mode system is a hybrid system that can switch freely among a finite set of modes, and whose dynamics is specified by a finite number of real-valued variables with mode-dependent constant rates. Alur, Wojtczak, and…

Logic in Computer Science · Computer Science 2017-07-14 Shankara Narayanan Krishna , Aviral Kumar , Fabio Somenzi , Behrouz Touri , Ashutosh Trivedi

Reachable set computation is an important tool for analyzing control systems. Simulating a control system can show general trends, but a formal tool like reachability analysis can provide guarantees of correctness. Reachability analysis for…

Systems and Control · Electrical Eng. & Systems 2025-05-07 Chelsea Sidrane , Jana Tumova

We present a novel technique for online safety verification of autonomous systems, which performs reachability analysis efficiently for both bounded and unbounded horizons by employing neural barrier certificates. Our approach uses barrier…

Systems and Control · Electrical Eng. & Systems 2024-04-30 Alessandro Abate , Sergiy Bogomolov , Alec Edwards , Kostiantyn Potomkin , Sadegh Soudjani , Paolo Zuliani

In this paper, we address the real-time risk-bounded safety verification problem of continuous-time state trajectories of autonomous systems in the presence of uncertain time-varying nonlinear safety constraints. Risk is defined as the…

Robotics · Computer Science 2021-10-04 Ashkan Jasour , Weiqiao Han , Brian Williams

The decision logic for the ACAS X family of aircraft collision avoidance systems is represented as a large numeric table. Due to storage constraints of certified avionics hardware, neural networks have been suggested as a way to…

Systems and Control · Electrical Eng. & Systems 2020-05-07 Kyle D. Julian , Mykel J. Kochenderfer

Trajectory planning under uncertainty is an active research topic. Previous works predict state and state estimation uncertainties along trajectories to check for collision safety. They assume either stochastic or bounded sensing…

Robotics · Computer Science 2020-12-18 Akshay Shetty , Grace Xingxin Gao

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

Recent analyses highlight challenges in autonomous vehicle technologies, particularly failures in decision-making under dynamic or emergency conditions. Traditional automated driving systems recalculate the entire trajectory in a changing…

Robotics · Computer Science 2024-08-21 Kailin Tong , Berin Dikic , Wenbo Xiao , Martin Steinberger , Martin Horn , Selim Solmaz