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For safe operation, a robot must be able to avoid collisions in uncertain environments. Existing approaches for motion planning under uncertainties often assume parametric obstacle representations and Gaussian uncertainty, which can be…

Robotics · Computer Science 2023-12-04 Ralf Römer , Armin Lederer , Samuel Tesfazgi , Sandra Hirche

Motion planning for urban environments with numerous moving agents can be viewed as a combinatorial problem. With passing an obstacle before, after, right or left, there are multiple options an autonomous vehicle could choose to execute.…

Robotics · Computer Science 2022-07-12 Klemens Esterle , Patrick Hart , Julian Bernhard , Alois Knoll

An active area of research is to increase the safety of self-driving vehicles. Although safety cannot be guarenteed completely, the capability of a vehicle to predict the future trajectories of its surrounding vehicles could help ensure…

Computer Vision and Pattern Recognition · Computer Science 2019-02-15 Shayan Jawed , Eya Boumaiza , Josif Grabocka , Lars Schmidt-Thieme

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

The efficacy of robust optimization spans a variety of settings with uncertainties bounded in predetermined sets. In many applications, uncertainties are affected by decisions and cannot be modeled with current frameworks. This paper takes…

Optimization and Control · Mathematics 2018-03-29 Omid Nohadani , Kartikey Sharma

Trajectory prediction is an essential step in the pipeline of an autonomous vehicle. Inaccurate or inconsistent predictions regarding the movement of agents in its surroundings lead to poorly planned maneuvers and potentially dangerous…

Machine Learning · Computer Science 2025-07-04 Caio Azevedo , Lina Achaji , Stefano Sabatini , Nicola Poerio , Grzegorz Bartyzel , Sascha Hornauer , Fabien Moutarde

Trajectory optimization with contact-rich behaviors has recently gained attention for generating diverse locomotion behaviors without pre-specified ground contact sequences. However, these approaches rely on precise models of robot dynamics…

Robotics · Computer Science 2020-09-29 Luke Drnach , Ye Zhao

Applying intelligent robot arms in dynamic uncertain environments (i.e., flexible production lines) remains challenging, which requires efficient algorithms for real time trajectory generation. The motion planning problem for robot…

Robotics · Computer Science 2020-08-11 Weiye Zhao , Suqin He , Chengtao Wen , Changliu Liu

Safe autonomous driving critically depends on how well the ego-vehicle can predict the trajectories of neighboring vehicles. To this end, several trajectory prediction algorithms have been presented in the existing literature. Many of these…

Robotics · Computer Science 2023-10-13 Basant Sharma , Aditya Sharma , K. Madhava Krishna , Arun Kumar Singh

This paper introduces a graph-based, potential-guided method for path planning problems in unknown environments, where obstacles are unknown until the robots are in close proximity to the obstacle locations. Inspired by optimal transport…

Optimization and Control · Mathematics 2019-09-26 Haoyan Zhai , Magnus Egerstedt , Haomin Zhou

Distributionally robust chance constrained programs minimize a deterministic cost function subject to the satisfaction of one or more safety conditions with high probability, given that the probability distribution of the uncertain problem…

Optimization and Control · Mathematics 2022-11-22 Zhi Chen , Daniel Kuhn , Wolfram Wiesemann

This paper proposes a novel approach to construct data-driven online solutions to optimization problems (P) subject to a class of distributionally uncertain dynamical systems. The introduced framework allows for the simultaneous learning of…

Systems and Control · Electrical Eng. & Systems 2024-07-23 Dan Li , Dariush Fooladivanda , Sonia Martinez

As a core part of autonomous driving systems, motion planning has received extensive attention from academia and industry. However, real-time trajectory planning capable of spatial-temporal joint optimization is challenged by nonholonomic…

Robotics · Computer Science 2023-04-11 Zhichao Han , Yuwei Wu , Tong Li , Lu Zhang , Liuao Pei , Long Xu , Chengyang Li , Changjia Ma , Chao Xu , Shaojie Shen , Fei Gao

Robust optimization methods have shown practical advantages in a wide range of decision-making applications under uncertainty. Recently, their efficacy has been extended to multi-period settings. Current approaches model uncertainty either…

Optimization and Control · Mathematics 2022-02-23 Omid Nohadani , Kartikey Sharma

We propose a Gaussian variational inference framework for the motion planning problem. In this framework, motion planning is formulated as an optimization over the distribution of the trajectories to approximate the desired trajectory…

Robotics · Computer Science 2023-03-27 Hongzhe Yu , Yongxin Chen

In this paper, we address the problem of closed-loop control of nonlinear dynamical systems subjected to probabilistic uncertainties. More precisely, we design time-varying polynomial feedback controllers to follow the given nominal…

Optimization and Control · Mathematics 2019-12-10 Ashkan Jasour , Brian Williams

This research addresses the increasing demand for advanced navigation systems capable of operating within confined surroundings. A significant challenge in this field is developing an efficient planning framework that can generalize across…

Robotics · Computer Science 2024-07-09 Jiayu Fan , Nikolce Murgovski , Jun Liang

We investigate a method to deal with congestion of sectors and delays in the tactical phase of air traffic flow and capacity management. It relies on temporal objectives given for every point of the flight plans and shared among the…

Artificial Intelligence · Computer Science 2013-09-18 Gaétan Marceau , Pierre Savéant , Marc Schoenauer

Autonomous systems operate in environments that may change over time. An example is the control of a self-driving vehicle among pedestrians and human-controlled vehicles whose behavior may change based on factors such as traffic density,…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Kaizer Rahaman , Jyotirmoy V. Deshmukh , Ashish R. Hota , Lars Lindemann

Robotic systems, particularly in demanding environments like narrow corridors or disaster zones, often grapple with imperfect state estimation. Addressing this challenge requires a trajectory plan that not only navigates these restrictive…

Robotics · Computer Science 2023-09-19 Zhenyang Chen , Hongzhe Yu , Yongxin Chen