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Even though mobile robots have been around for decades, trajectory optimization and continuous time collision avoidance remain subject of active research. Existing methods trade off between path quality, computational complexity, and…

Robotics · Computer Science 2020-03-03 Tobias Schoels , Luigi Palmieri , Kai O. Arras , Moritz Diehl

We present a unified probabilistic framework for simultaneous trajectory estimation and planning (STEAP). Estimation and planning problems are usually considered separately, however, within our framework we show that solving them…

Robotics · Computer Science 2018-07-30 Mustafa Mukadam , Jing Dong , Frank Dellaert , Byron Boots

This paper presents a constrained adaptive dynamic programming (CADP) algorithm to solve general nonlinear nonaffine optimal control problems with known dynamics. Unlike previous ADP algorithms, it can directly deal with problems with state…

Systems and Control · Electrical Eng. & Systems 2022-04-11 Jingliang Duan , Zhengyu Liu , Shengbo Eben Li , Qi Sun , Zhenzhong Jia , Bo Cheng

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

Mapping is essential in robotics and autonomous systems because it provides the spatial foundation for path planning. Efficient mapping enables planning algorithms to generate reliable paths while ensuring safety and adapting in real time…

Robotics · Computer Science 2026-05-22 Yihui Mao , Tian Tan , Xuehui Shen , Warren E. Dixon , Rushikesh Kamalapurkar

This paper extends the RRT* algorithm, a recently developed but widely-used sampling-based optimal motion planner, in order to effectively handle nonlinear kinodynamic constraints. Nonlinearity in kinodynamic differential constraints often…

Robotics · Computer Science 2016-03-15 Jung-Su Ha , Han-Lim Choi , Jeong hwan Jeon

The All-Pairs Shortest Paths (APSP) problem is one of the fundamental problems in theoretical computer science. It asks to compute the distance matrix of a given $n$-vertex graph. We revisit the classical problem of maintaining the distance…

Data Structures and Algorithms · Computer Science 2024-08-28 Xiao Mao

Existing Active SLAM methodologies face issues such as slow exploration speed and suboptimal paths. To address these limitations, we propose a hybrid framework combining a Path-Uncertainty Co-Optimization Deep Reinforcement Learning…

Robotics · Computer Science 2025-12-11 Yizhen Yin , Dapeng Feng , Hongbo Chen , Yuhua Qi

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

Multi-robot Coverage Path Planning (MCPP) addresses the problem of computing paths for multiple robots to effectively cover a large area of interest. Conventional approaches to MCPP typically assume that robots move at fixed velocities,…

Robotics · Computer Science 2025-09-30 Jun Chen , Mingjia Chen , Shinkyu Park

We propose an extension to the MAPF formulation, called SocialMAPF, to account for private incentives of agents in constrained environments such as doorways, narrow hallways, and corridor intersections. SocialMAPF is able to, for instance,…

Multiagent Systems · Computer Science 2022-10-18 Rohan Chandra , Rahul Maligi , Arya Anantula , Joydeep Biswas

In this paper we address the problem of path planning in an unknown environment with an aerial robot. The main goal is to safely follow the planned trajectory by avoiding obstacles. The proposed approach is suitable for aerial vehicles…

Robotics · Computer Science 2023-06-29 Ana Batinovic , Jurica Goricanec , Lovro Markovic , Stjepan Bogdan

We present Kinodynamic RRT*, an incremental sampling-based approach for asymptotically optimal motion planning for robots with linear differential constraints. Our approach extends RRT*, which was introduced for holonomic robots (Karaman et…

Robotics · Computer Science 2012-05-24 Dustin J. Webb , Jur van den Berg

Path optimization is a fundamental concern across various real-world scenarios, ranging from traffic congestion issues to efficient data routing over the internet. The Traffic Assignment Problem (TAP) is a classic continuous optimization…

Disordered Systems and Neural Networks · Physics 2025-04-21 Rayan Harfouche , Giovanni Piccioli , Lenka Zdeborová

Trajectory generation in dynamic environments presents a significant challenge for quadrotors, particularly due to the non-convexity in the spatial-temporal domain. Many existing methods either assume simplified static environments or…

Robotics · Computer Science 2025-03-19 Songhao Huang , Yuwei Wu , Yuezhan Tao , Vijay Kumar

We consider the problem of planning a collision-free path of a robot in the presence of risk zones. The robot is allowed to travel in these zones but is penalized in a super-linear fashion for consecutive accumulative time spent there. We…

Computational Geometry · Computer Science 2017-03-10 Oren Salzman , Siddhartha Srinivasa

Autonomous robot navigation systems often rely on hierarchical planning, where global planners compute collision-free paths without considering dynamics, and local planners enforce dynamics constraints to produce executable commands. This…

Robotics · Computer Science 2025-10-14 Yuanjie Lu , Mingyang Mao , Tong Xu , Linji Wang , Xiaomin Lin , Xuesu Xiao

Many methods in learning from demonstration assume that the demonstrator has knowledge of the full environment. However, in many scenarios, a demonstrator only sees part of the environment and they continuously replan as they gather…

Robotics · Computer Science 2020-05-13 Craig Knuth , Glen Chou , Necmiye Ozay , Dmitry Berenson

Safe navigation in real-time is an essential task for humanoid robots in real-world deployment. Since humanoid robots are inherently underactuated thanks to unilateral ground contacts, a path is considered safe if it is obstacle-free and…

Robotics · Computer Science 2024-11-07 Chengyang Peng , Victor Paredes , Guillermo A. Castillo , Ayonga Hereid

We propose a distributed planning method with asynchronous execution for multi-agent pickup and delivery (MAPD) problems for environments with occasional delays in agents' activities and flexible endpoints. MAPD is a crucial problem…

Multiagent Systems · Computer Science 2023-02-21 Yuki Miyashita , Tomoki Yamauchi , Toshiharu Sugawara
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