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Sampling-based motion planning has emerged as a powerful approach for robotics, enabling exploration of complex, high-dimensional configuration spaces. When combined with Signal Temporal Logic (STL), a temporal logic widely used for…

Robotics · Computer Science 2026-02-20 Ahmad Ahmad , Shuo Liu , Roberto Tron , Calin Belta

Consider a robot operating in an uncertain environment with stochastic, dynamic obstacles. Despite the clear benefits for trajectory optimization, it is often hard to keep track of each obstacle at every time step due to sensing and…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Michael Hibbard , Abraham P. Vinod , Jesse Quattrociocchi , Ufuk Topcu

In many mobile robotics scenarios, such as drone racing, the goal is to generate a trajectory that passes through multiple waypoints in minimal time. This problem is referred to as time-optimal planning. State-of-the-art approaches either…

Robotics · Computer Science 2020-08-04 Philipp Foehn , Davide Scaramuzza

Sampling-based algorithms are viewed as practical solutions for high-dimensional motion planning. Recent progress has taken advantage of random geometric graph theory to show how asymptotic optimality can also be achieved with these…

Robotics · Computer Science 2016-02-09 Yanbo Li , Zakary Littlefield , Kostas E. Bekris

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

Sampling-based motion planning algorithms, like the Rapidly-Exploring Random Tree (RRT) and its widely used variant, RRT-Connect, provide efficient solutions for high-dimensional planning problems faced by real-world robots. However, these…

Robotics · Computer Science 2025-10-08 Chih H. Huang , Pranav Jadhav , Brian Plancher , Zachary Kingston

Finding a collision-free path for autonomous parking is usually performed by computing geometric equations, but the geometric approach may become unusable under challenging situations where space is highly constrained. We propose an…

Robotics · Computer Science 2020-02-12 Jiri Vlasak , Michal Sojka , Zdeněk Hanzálek

Despite the performance advantages of modern sampling-based motion planners, solving high dimensional planning problems in near real-time remains a challenge. Applications include hyper-redundant manipulators, snake-like and humanoid…

Robotics · Computer Science 2018-02-02 Marios P. Xanthidis , Joel M. Esposito , Ioannis Rekleitis , Jason M. O'Kane

We study the problem of path planning for unlabeled (indistinguishable) unit-disc robots in a planar environment cluttered with polygonal obstacles. We introduce an algorithm which minimizes the total path length, i.e., the sum of lengths…

Computational Geometry · Computer Science 2015-04-22 Kiril Solovey , Jingjin Yu , Or Zamir , Dan Halperin

Routing problems such as Hamiltonian Path Problem (HPP), seeks a path to visit all the vertices in a graph while minimizing the path cost. This paper studies a variant, HPP with Probabilistic Terminals (HPP-PT), where each vertex has a…

Robotics · Computer Science 2026-01-21 Yunpeng Lyu , Chao Cao , Ji Zhang , Howie Choset , Zhongqiang Ren

Planning a path for a nonholonomic robot is a challenging topic in motion planning and it becomes more difficult when the desired path contains narrow passages. This kind of scenario can arise, for instance, when quadcopters search a…

Systems and Control · Computer Science 2017-09-19 Yaohui Guo , Zhaolun Su , Dmitry Berenson , Ding Zhao

Trajectory planning tasks for non-holonomic or collaborative systems are naturally modeled by state spaces with non-Euclidean metrics. However, existing proofs of convergence for sample-based motion planners only consider the setting of…

Robotics · Computer Science 2023-06-29 Anton Lukyanenko , Damoon Soudbakhsh

In this paper we present a method for automatically planning robust optimal paths for a group of robots that satisfy a common high level mission specification. Each robot's motion in the environment is modeled as a weighted transition…

Robotics · Computer Science 2015-03-13 Alphan Ulusoy , Stephen L. Smith , Xu Chu Ding , Calin Belta

Constrained motion planning is a common but challenging problem in robotic manipulation. In recent years, data-driven constrained motion planning algorithms have shown impressive planning speed and success rate. Among them, the latent…

Robotics · Computer Science 2026-01-01 Jiawei Zhang , Chengchao Bai , Wei Pan , Tianhang Liu , Jifeng Guo

The problem of navigating a bipedal robot to a desired destination in various environments is very important. However, it is very difficult to solve the navigation problem in real time because the computation time is very long due to the…

Robotics · Computer Science 2022-11-11 Joon-Ha Kim

This paper presents a sampling-based method for optimal motion planning in non-holonomic systems in the absence of known cost functions. It uses the principle of learning through experience to deduce the cost-to-go of regions within the…

Robotics · Computer Science 2021-01-08 Nahas Pareekutty , Francis James , Balaraman Ravindran , Suril V. Shah

This paper presents two implementations of the recently developed motion planning algorithms HyRRT arXiv:2210.1508(2) and HySST arXiv:2305.1864(9). Specifically, cHyRRT, an implementation of the HyRRT algorithm, generates solutions to…

Robotics · Computer Science 2025-07-08 Beverly Xu , Nan Wang , Ricardo Sanfelice

We explore path planning followed by kinodynamic smoothing while ensuring the vehicle dynamics feasibility for MAVs. We have chosen a geometrically based motion planning technique \textquotedblleft RRT*\textquotedblright\; for this purpose.…

Robotics · Computer Science 2020-09-01 Geesara Kulathunga , Dmitry Devitt , Roman Fedorenko , Sergei Savin , Alexandr Klimchik

This work presents a fully integrated tree-based combined exploration-planning algorithm: Exploration-RRT (ERRT). The algorithm is focused on providing real-time solutions for local exploration in a fully unknown and unstructured…

Robotics · Computer Science 2024-07-08 Björn Lindqvist , Akash Patel , Kalle Löfgren , George Nikolakopoulos

Motion planning is a fundamental problem in autonomous robotics that requires finding a path to a specified goal that avoids obstacles and takes into account a robot's limitations and constraints. It is often desirable for this path to also…

Robotics · Computer Science 2021-01-14 Jonathan D. Gammell , Marlin P. Strub
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