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We address the risk bounded trajectory optimization problem of stochastic nonlinear robotic systems. More precisely, we consider the motion planning problem in which the robot has stochastic nonlinear dynamics and uncertain initial…

Robotics · Computer Science 2022-03-08 Weiqiao Han , Ashkan Jasour , Brian Williams

Operating unmanned aerial vehicles (UAVs) in complex environments that feature dynamic obstacles and external disturbances poses significant challenges, primarily due to the inherent uncertainty in such scenarios. Additionally, inaccurate…

Robotics · Computer Science 2023-09-29 Tianyu Liu , Fu Zhang , Fei Gao , Jia Pan

Autonomous vehicles face the problem of optimizing the expected performance of subsequent maneuvers while bounding the risk of collision with surrounding dynamic obstacles. These obstacles, such as agent vehicles, often exhibit stochastic…

Artificial Intelligence · Computer Science 2023-02-28 Rashid Alyassi , Majid Khonji

This paper presents a robust path-planning framework for safe spacecraft autonomy under uncertainty and develops a computationally tractable formulation based on convex programming. We utilize chance-constrained control to formulate the…

Optimization and Control · Mathematics 2024-04-19 Kenshiro Oguri

In this paper, we address the trajectory planning problem in uncertain nonconvex static and dynamic environments that contain obstacles with probabilistic location, size, and geometry. To address this problem, we provide a risk bounded…

Artificial Intelligence · Computer Science 2023-06-06 Ashkan Jasour , Weiqiao Han , Brian Williams

As drones and autonomous cars become more widespread it is becoming increasingly important that robots can operate safely under realistic conditions. The noisy information fed into real systems means that robots must use estimates of the…

Robotics · Computer Science 2017-06-01 Brian Axelrod , Leslie Pack Kaelbling , Tomás Lozano-Pérez

Safe corridor-based Trajectory Optimization (TO) presents an appealing approach for collision-free path planning of autonomous robots, offering global optimality through its convex formulation. The safe corridor is constructed based on the…

Robotics · Computer Science 2024-10-30 Shaohang Xu , Haolin Ruan , Wentao Zhang , Yian Wang , Lijun Zhu , Chin Pang Ho

Cooperative path planning is gaining its importance due to the increasing demand on using multiple unmanned aerial vehicles (UAVs) for complex missions. This work addresses the problem by introducing a new algorithm named MultiRRT that…

Robotics · Computer Science 2025-04-17 Thu Hang Khuat , Duy-Nam Bui , Hoa TT. Nguyen , Mien L. Trinh , Minh T. Nguyen , Manh Duong Phung

This study investigates the application of unmanned aerial vehicles (UAVs) in public management, focusing on optimizing path planning to address challenges such as energy consumption, obstacle avoidance, and airspace constraints. As UAVs…

Robotics · Computer Science 2025-08-21 Zhanxi Xie , Baili Lu , Yanzhao Gu , Zikun Li , Junhao Wei , Ngai Cheong

Agent behavior is arguably the greatest source of uncertainty in trajectory planning for autonomous vehicles. This problem has motivated significant amounts of work in the behavior prediction community on learning rich distributions of the…

Robotics · Computer Science 2020-07-16 Allen Wang , Ashkan Jasour , Brian Williams

In real-time trajectory planning for unmanned vehicles, on-board sensors, radars and other instruments are used to collect information on possible obstacles to be avoided and pathways to be followed. Since, in practice, observations of the…

Methodology · Statistics 2013-09-25 Adriano Zanin Zambom , Julian A. A. Collazos , Ronaldo Dias

Rapidly-exploring Random Tree Star(RRT*) is a recently proposed extension of Rapidly-exploring Random Tree (RRT) algorithm that provides a collision-free, asymptotically optimal path regardless of obstacle's geometry in a given environment.…

Robotics · Computer Science 2017-04-04 Ahmed Hussain Qureshi , Yasar Ayaz

We present Probabilistic Reciprocal Velocity Obstacle or PRVO as a general algorithm for navigating multiple robots under perception and motion uncertainty. PRVO is defined as the space of velocities that ensures dynamic collision avoidance…

The urban environment is amongst the most difficult domains for autonomous vehicles. The vehicle must be able to plan a safe route on challenging road layouts, in the presence of various dynamic traffic participants such as vehicles,…

Optimization and Control · Mathematics 2022-10-06 Robin Smit , Chris van der Ploeg , Arjan Teerhuis , Emilia Silvas

To control how a robot moves, motion planning algorithms must compute paths in high-dimensional state spaces while accounting for physical constraints related to motors and joints, generating smooth and stable motions, avoiding obstacles,…

In this paper, a robot navigating an environment shared with humans is considered, and a cost function that can be exploited in $\text{RRT}^\text{X}$, a randomized sampling-based replanning algorithm that guarantees asymptotic optimality,…

Robotics · Computer Science 2022-06-16 Basak Sakcak , Luca Bascetta

Robust motion planning entails computing a global motion plan that is safe under all possible uncertainty realizations, be it in the system dynamics, the robot's initial position, or with respect to external disturbances. Current approaches…

Robotics · Computer Science 2022-11-02 Albert Wu , Thomas Lew , Kiril Solovey , Edward Schmerling , Marco Pavone

Chance-constrained motion planning requires uncertainty in dynamics to be propagated into uncertainty in state. When nonlinear models are used, Gaussian assumptions on the state distribution do not necessarily apply since almost all random…

Systems and Control · Electrical Eng. & Systems 2020-03-31 Allen Wang , Ashkan Jasour , Brian Williams

We consider the motion planning problem for stochastic nonlinear systems in uncertain environments. More precisely, in this problem the robot has stochastic nonlinear dynamics and uncertain initial locations, and the environment contains…

Robotics · Computer Science 2023-08-15 Weiqiao Han , Ashkan Jasour , Brian Williams

In this paper, we present an innovative risk-bounded motion planning methodology for stochastic multi-agent systems. For this methodology, the disturbance, noise, and model uncertainty are considered; and a velocity obstacle method is…

Robotics · Computer Science 2022-02-22 Xiaoxue Zhang , Jun Ma , Zilong Cheng , Masayoshi Tomizuka , Tong Heng Lee