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In this paper we present the PUMP (Parallel Uncertainty-aware Multiobjective Planning) algorithm for addressing the stochastic kinodynamic motion planning problem, whereby one seeks a low-cost, dynamically-feasible motion plan subject to a…

Robotics · Computer Science 2017-02-27 Brian Ichter , Edward Schmerling , Ali-akbar Agha-mohammadi , Marco Pavone

This paper addresses two challenges facing sampling-based kinodynamic motion planning: a way to identify good candidate states for local transitions and the subsequent computationally intractable steering between these candidate states.…

Robotics · Computer Science 2019-07-15 Hao-Tien Lewis Chiang , Jasmine Hsu , Marek Fiser , Lydia Tapia , Aleksandra Faust

We show that asymptotically, completely asynchronous stochastic gradient procedures achieve optimal (even to constant factors) convergence rates for the solution of convex optimization problems under nearly the same conditions required for…

Optimization and Control · Mathematics 2015-08-05 John C. Duchi , Sorathan Chaturapruek , Christopher Ré

The efficiency of sampling-based motion planning brings wide application in autonomous mobile robots. The conventional rapidly exploring random tree (RRT) algorithm and its variants have gained significant successes, but there are still…

Robotics · Computer Science 2023-11-02 Ying Zhang , Heyong Wang , Maoliang Yin , Jiankun Wang , Changchun Hua

In this paper, we address the problem of sampling-based motion planning under motion and measurement uncertainty with probabilistic guarantees. We generalize traditional sampling-based tree-based motion planning algorithms for deterministic…

Robotics · Computer Science 2022-10-05 Qi Heng Ho , Zachary N. Sunberg , Morteza Lahijanian

This work casts the kinodynamic planning problem for car-like vehicles as an optimization task to compute a minimum-time trajectory and its associated velocity profile, subject to boundary conditions on velocity, acceleration, and steering.…

Robotics · Computer Science 2025-08-25 Otobong Jerome , Alexandr Klimchik , Alexander Maloletov , Geesara Kulathunga

The objective of this study is to enable fast and safe manipulation tasks in home environments. Specifically, we aim to develop a system that can recognize its surroundings and identify target objects while in motion, enabling it to plan…

Robotics · Computer Science 2026-02-25 Keisuke Takeshita , Takahiro Yamazaki , Tomohiro Ono , Takashi Yamamoto

This paper proposes a new optimal control synthesis algorithm for multi-robot systems under global temporal logic tasks. Existing planning approaches under global temporal goals rely on graph search techniques applied to a product automaton…

Robotics · Computer Science 2018-06-21 Yiannis Kantaros , Michael M. Zavlanos

This paper aims to improve the path quality and computational efficiency of kinodynamic planners used for vehicular systems. It proposes a learning framework for identifying promising controls during the expansion process of sampling-based…

Robotics · Computer Science 2022-01-10 Seth Karten , Aravind Sivaramakrishnan , Edgar Granados , Troy McMahon , Kostas E. Bekris

We propose a new class of asymptotic preserving schemes to solve kinetic equations with mono-kinetic singular limit. The main idea to deal with the singularity is to transform the equations by appropriate scalings in velocity. In…

Numerical Analysis · Mathematics 2017-06-30 Alina Chertock , Changhui Tan , Bokai Yan

During the last decade, incremental sampling-based motion planning algorithms, such as the Rapidly-exploring Random Trees (RRTs) have been shown to work well in practice and to possess theoretical guarantees such as probabilistic…

Robotics · Computer Science 2010-05-05 Sertac Karaman , Emilio Frazzoli

In many robot motion planning problems, task objectives and physical constraints induce non-Euclidean geometry on the configuration space, yet many planners operate using Euclidean distances that ignore this structure. We address the…

Robotics · Computer Science 2026-05-15 Phone Thiha Kyaw , Jonathan Kelly

Sampling based methods are widely used for robotic motion planning. Traditionally, these samples are drawn from probabilistic ( or deterministic ) distributions to cover the state space uniformly. Despite being probabilistically complete,…

Robotics · Computer Science 2020-06-09 Rajat Kumar Jenamani , Rahul Kumar , Parth Mall , Kushal Kedia

Many robots operating in unpredictable environments require an online path planning algorithm that can quickly compute high quality paths. Asymptotically optimal planners are capable of finding the optimal path, but can be slow to converge.…

Robotics · Computer Science 2017-08-22 Scott Paulin , Tom Botterill , XiaoQi Chen , Richard Green

Robot motion planning has made vast advances over the past decades, but the challenge remains: robot mobile manipulators struggle to plan long-range whole-body motion in common household environments in real time, because of…

Robotics · Computer Science 2024-08-13 Yunfan Lu , Yuchen Ma , David Hsu , Panpan Cai

This paper introduces Bidirectional Guidance Informed Trees (BIGIT*),~a new asymptotically optimal sampling-based motion planning algorithm. Capitalizing on the strengths of \emph{meet-in-the-middle} property in bidirectional heuristic…

Robotics · Computer Science 2024-12-10 Yi Wang , Bingxian Mu

Bilevel Optimization has experienced significant advancements recently with the introduction of new efficient algorithms. Mirroring the success in single-level optimization, stochastic gradient-based algorithms are widely used in bilevel…

Optimization and Control · Mathematics 2024-11-12 Junyi Li , Heng Huang

Continuum robots (CR) offer excellent dexterity and compliance in contrast to rigid-link robots, making them suitable for navigating through, and interacting with, confined environments. However, the study of path planning for CRs while…

Robotics · Computer Science 2023-09-19 Yifan Wang , Yue Chen

We introduce a simple yet effective sampling-based planner that is tailored for bottleneck pathfinding: Given an implicitly-defined cost map $\mathcal{M}:\mathbb{R}^d\rightarrow \mathbb{R}$, which assigns to every point in space a real…

Robotics · Computer Science 2016-09-28 Kiril Solovey , Dan Halperin

This paper proposes a new sampling-based kinodynamic motion planning algorithm, called FMT*PFF, for nonlinear systems. It exploits the novel idea of dimensionality reduction using partial-final-state-free (PFF) optimal controllers.With the…

Robotics · Computer Science 2023-06-06 Dongliang Zheng , Panagiotis Tsiotras