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Planning problems are hard, motion planning, for example, isPSPACE-hard. Such problems are even more difficult in the presence of uncertainty. Although, Markov Decision Processes (MDPs) provide a formal framework for such problems, finding…

Artificial Intelligence · Computer Science 2013-01-14 Carlos E. Guestrin , Dirk Ormoneit

As robots move from the laboratory into the real world, motion planning will need to account for model uncertainty and risk. For robot motions involving intermittent contact, planning for uncertainty in contact is especially important, as…

Robotics · Computer Science 2021-10-01 Luke Drnach , John Z. Zhang , Ye Zhao

We consider the problem of planning a collision-free path for a high-dimensional robot. Specifically, we suggest a planning framework where a motion-planning algorithm can obtain guidance from a user. In contrast to existing approaches that…

Robotics · Computer Science 2018-07-24 Fahad Islam , Oren Salzman , Maxim Likhachev

Robot manipulators operating in uncertain and non-convex environments present significant challenges for safe and optimal motion planning. Existing methods often struggle to provide efficient and formally certified collision risk…

Robotics · Computer Science 2026-03-11 Fei Meng , Zijiang Yang , Xinyu Mao , Haobo Liang , Max Q. -H. Meng

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

Most animal and human locomotion behaviors for solving complex tasks involve dynamic motions and rich contact interaction. In fact, complex maneuvers need to consider dynamic movement and contact events at the same time. We present a…

Robotics · Computer Science 2019-04-10 Carlos Mastalli , Ioannis Havoutis , Michele Focchi , Darwin G. Caldwell , Claudio Semini

Motion planning for robots of high degrees-of-freedom (DOFs) is an important problem in robotics with sampling-based methods in configuration space C as one popular solution. Recently, machine learning methods have been introduced into…

Robotics · Computer Science 2019-11-21 Yiheng Han , Wang Zhao , Jia Pan , Zipeng Ye , Ran Yi , Yong-Jin Liu

This paper presents a search-based partial motion planner to generate dynamically feasible trajectories for car-like robots in highly dynamic environments. The planner searches for smooth, safe, and near-time-optimal trajectories by…

Robotics · Computer Science 2020-11-10 Jiahui Lin , Tong Zhou , Delong Zhu , Jianbang Liu , Max Q. -H. Meng

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

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…

This paper studies motion planning of a mobile robot under uncertainty. The control objective is to synthesize a {finite-memory} control policy, such that a high-level task specified as a Linear Temporal Logic (LTL) formula is satisfied…

Robotics · Computer Science 2017-10-24 Meng Guo , Michael M. Zavlanos

This paper considers the problem of designing motion planning algorithms for control-affine systems that generate collision-free paths from an initial to a final destination and can be executed using safe and dynamically-feasible…

Robotics · Computer Science 2025-03-14 Pol Mestres , Carlos Nieto-Granda , Jorge Cortés

This paper studies optimal motion planning subject to motion and environment uncertainties. By modeling the system as a probabilistic labeled Markov decision process (PL-MDP), the control objective is to synthesize a finite-memory policy,…

Robotics · Computer Science 2022-01-03 Mingyu Cai , Shaoping Xiao , Zhijun Li , Zhen Kan

In order to solve complex, long-horizon tasks, intelligent robots need to carry out high-level, abstract planning and reasoning in conjunction with motion planning. However, abstract models are typically lossy and plans or policies computed…

Artificial Intelligence · Computer Science 2020-06-02 Naman Shah , Deepak Kala Vasudevan , Kislay Kumar , Pranav Kamojjhala , Siddharth Srivastava

An integration of distributionally robust risk allocation into sampling-based motion planning algorithms for robots operating in uncertain environments is proposed. We perform non-uniform risk allocation by decomposing the distributionally…

Robotics · Computer Science 2023-05-16 Kajsa Ekenberg , Venkatraman Renganathan , Björn Olofsson

Probabilistic collision detection (PCD) is essential in motion planning for robots operating in unstructured environments, where considering sensing uncertainty helps prevent damage. Existing PCD methods mainly used simplified geometric…

Robotics · Computer Science 2025-08-28 Xiaoli Wang , Sipu Ruan , Xin Meng , Gregory Chirikjian

In order to solve complex, long-horizon tasks, intelligent robots need to carry out high-level, abstract planning and reasoning in conjunction with motion planning. However, abstract models are typically lossy and plans or policies computed…

Robotics · Computer Science 2022-05-27 Naman Shah , Siddharth Srivastava

The navigation of robots in dynamic urban environments, requires elaborated anticipative strategies for the robot to avoid collisions with dynamic objects, like bicycles or pedestrians, and to be human aware. We have developed and analyzed…

Robotics · Computer Science 2022-10-18 Óscar Gil , Alberto Sanfeliu

This work considers a Motion Planning Problem with Dynamic Obstacles (MPDO) in 2D that requires finding a minimum-arrival-time collision-free trajectory for a point robot between its start and goal locations amid dynamic obstacles moving…

Robotics · Computer Science 2022-06-03 Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

Robots have been operating in dynamic environments and shared workspaces for decades. Most optimization based motion planning methods, however, do not consider the movement of other agents, e.g. humans or other robots, and therefore do not…

Robotics · Computer Science 2020-05-26 Tobias Schoels , Per Rutquist , Luigi Palmieri , Andrea Zanelli , Kai O. Arras , Moritz Diehl