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In this series of papers, we present a motion planning framework for planning comfortable and customizable motion of nonholonomic mobile robots such as intelligent wheelchairs and autonomous cars. In Part I, we presented the mathematical…

Robotics · Computer Science 2013-05-23 Shilpa Gulati , Chetan Jhurani , Benjamin Kuipers

Path planning for a robot is one of the major problems in the area of robotics. When a robot is given a task in the form of a Linear Temporal Logic (LTL) specification such that the task needs to be carried out repetitively, we want the…

Robotics · Computer Science 2021-03-05 Priya Purohit , Indranil Saha

Robots are increasingly deployed in dynamic and crowded environments, such as urban areas and shopping malls, where efficient and robust navigation is crucial. Traditional risk-based motion planning algorithms face challenges in such…

Robotics · Computer Science 2024-11-04 Zhirui Sun , Bingyi Xia , Peijia Xie , Xiaoxiao Li , Jiankun Wang

We investigate the problem of multi-robot coordinated planning in environments where the robots may have to operate in close proximity to each other. We seek computationally efficient planners that ensure safe paths and adherence to…

Multiagent Systems · Computer Science 2019-10-09 Clayton Mangette , Pratap Tokekar

Challenges persist in nonholonomic robot navigation in dynamic environments. This paper presents a framework for such navigation based on the model of generalized velocity obstacles (GVO). The idea of velocity obstacles has been well…

Robotics · Computer Science 2018-04-12 Yuying Chen , Ming Liu

We present the KinoDynamic Motion Retargeting (KDMR) framework, a novel approach for humanoid locomotion that models the retargeting process as a multi-contact, whole-body trajectory optimization problem. Conventional kinematics-based…

Robotics · Computer Science 2026-03-11 Xiaoyu Zhang , Steven Haener , Varun Madabushi , Maegan Tucker

Motion planning problems for physically-coupled multi-robot systems in cluttered environments are challenging due to their high dimensionality. Existing methods combining sampling-based planners with trajectory optimization produce…

Robotics · Computer Science 2025-05-16 Khaled Wahba , Wolfgang Hönig

Path-velocity decomposition is an intuitive yet powerful approach to address the complexity of kinodynamic motion planning. The difficult trajectory planning problem is solved in two separate, simpler, steps: first, find a path in the…

Robotics · Computer Science 2016-10-03 Quang-Cuong Pham , Stéphane Caron , Puttichai Lertkultanon , Yoshihiko Nakamura

This paper reports a novel result: with proper robot models on matrix Lie groups, one can formulate the kinodynamic motion planning problem for rigid body systems as \emph{exact} polynomial optimization problems that can be relaxed as…

Robotics · Computer Science 2023-05-24 Sangli Teng , Ashkan Jasour , Ram Vasudevan , Maani Ghaffari

Probabilistic sampling-based algorithms, such as the probabilistic roadmap (PRM) and the rapidly-exploring random tree (RRT) algorithms, represent one of the most successful approaches to robotic motion planning, due to their strong…

Robotics · Computer Science 2016-05-04 Lucas Janson , Brian Ichter , Marco Pavone

Kinodynamic motion planning for non-holomonic mobile robots is a challenging problem that is lacking a universal solution. One of the computationally efficient ways to solve it is to build a geometric path first and then transform this path…

Robotics · Computer Science 2021-08-17 Brian Angulo , Konstantin Yakovlev , Ivan Radionov

We present an algorithm for obtaining an optimal control policy for hybrid dynamical systems in cluttered environments. To the best of our knowledge, this is the first attempt to have a locally optimal solution for this specific problem…

Robotics · Computer Science 2017-10-17 Shushman Choudhury , Yifan Hou , Gilwoo Lee , Siddhartha S. Srinivasa

In this work, we explore a data-driven learning-based approach to learning the kinodynamic model of a small autonomous vehicle, and observe the effect it has on motion planning, specifically autonomous drifting. When executing a motion plan…

Robotics · Computer Science 2024-02-26 M. Suvarna , O. Tehrani

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

Trajectory optimization is a widely used technique in robot motion planning for letting the dynamics and constraints on the system shape and synthesize complex behaviors. Several previous works have shown its benefits in high-dimensional…

Robotics · Computer Science 2024-03-19 Ramkumar Natarajan , Shohin Mukherjee , Howie Choset , Maxim Likhachev

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

Bi-directional search is a widely used strategy to increase the success and convergence rates of sampling-based motion planning algorithms. Yet, few results are available that merge both bi-directional search and asymptotic optimality into…

Robotics · Computer Science 2016-01-05 Joseph A. Starek , Javier V. Gomez , Edward Schmerling , Lucas Janson , Luis Moreno , Marco Pavone

Accurate control of robots at high speeds requires a control system that can take into account the kinodynamic interactions of the robot with the environment. Prior works on learning inverse kinodynamic (IKD) models of robots have shown…

Robotics · Computer Science 2022-08-04 Pranav Atreya , Haresh Karnan , Kavan Singh Sikand , Xuesu Xiao , Sadegh Rabiee , Joydeep Biswas

A resolution complete optimal kinodynamic motion planning algorithm is presented and described as a generalized label correcting (GLC) method. In contrast to related algorithms, the GLC method does not require a local planning subroutine…

Robotics · Computer Science 2017-03-16 Brian Paden , Emilio Frazzoli

We focus on a replanning scenario for quadrotors where considering time efficiency, non-static initial state and dynamical feasibility is of great significance. We propose a real-time B-spline based kinodynamic (RBK) search algorithm, which…

Robotics · Computer Science 2019-03-05 Wenchao Ding , Wenliang Gao , Kaixuan Wang , Shaojie Shen