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This work presents an efficient method to solve a class of continuous-time, continuous-space stochastic optimal control problems of robot motion in a cluttered environment. The method builds upon a path integral representation of the…

Systems and Control · Computer Science 2016-03-10 Jung-Su Ha , Han-Lim Choi

In this paper the computational challenges of time-optimal path following are addressed. The standard approach is to minimize the travel time, which inevitably leads to singularities at zero path speed, when reformulating the optimization…

Robotics · Computer Science 2025-10-24 Tobias Marauli , Hubert Gattringer , Andreas Mueller

A cuspidal robot can move from one inverse kinematics (IK) solution to another without crossing a singularity. Multiple industrial robots are cuspidal. They tend to have a beautiful mechanical design, but they pose path planning challenges.…

Robotics · Computer Science 2025-05-01 Alexander J. Elias , John T. Wen

In robot-assisted minimally invasive surgery (RMIS), inverse kinematics (IK) must satisfy a remote center of motion (RCM) constraint to prevent tissue damage at the incision point. However, most of existing IK methods do not account for the…

Robotics · Computer Science 2024-06-17 Jacinto Colan , Ana Davila , Yasuhisa Hasegawa

We study the computational complexity of optimally solving multi-robot path planning problems on planar graphs. For four common time- and distance-based objectives, we show that the associated path optimization problems for multiple robots…

Robotics · Computer Science 2015-12-08 Jingjin Yu

In this paper, we propose a novel trajectory optimization algorithm for mobile manipulators under end-effector path, collision avoidance and various kinematic constraints. Our key contribution lies in showing how this highly non-linear and…

Robotics · Computer Science 2019-04-23 Arun Kumar Singh , Andrei Ahonen , Reza Ghabcheloo , Andreas Muller

Motion planning for multi-jointed robots is challenging. Due to the inherent complexity of the problem, most existing works decompose motion planning as easier subproblems. However, because of the inconsistent performance metrics, only…

Robotics · Computer Science 2018-10-11 Yu Zhao , Hsien-Chung Lin , Masayoshi Tomizuka

As we move to increasingly complex cyber-physical systems (CPS), new approaches are needed to plan efficient state trajectories in real-time. In this paper, we propose an approach to significantly reduce the complexity of solving optimal…

Robotics · Computer Science 2023-08-29 Logan E. Beaver , Andreas A. Malikopoulos

Robotic manipulators are often designed with more actuated degrees-of-freedom than required to fully control an end effector's position and orientation. These "redundant" manipulators can allow infinite joint configurations that satisfy a…

Robotics · Computer Science 2023-08-30 Julia Ashkanazy , Ariana Spalter , Joe Hays , Laura Hiatt , Roxana Leontie , C. Glen Henshaw

We study the path planning problem for continuum-arm robots, in which we are given a starting and an end point, and we need to compute a path for the tip of the continuum arm between the two points. We consider both cases where obstacles…

Robotics · Computer Science 2018-12-11 Jiahao Deng , Brandon H. Meng , Iyad Kanj , Isuru S. Godage

Continuous formulations of trajectory planning problems have two main benefits. First, constraints are guaranteed to be satisfied at all times. Secondly, dynamic obstacles can be naturally considered with time. This paper introduces a novel…

Robotics · Computer Science 2022-12-21 Changhao Wang , Ting Xu , Masayoshi Tomizuka

Continuum manipulators have gained significant attention as a promising alternative to rigid manipulators, offering notable advantages in terms of flexibility and adaptability within intricate workspace. However, the broader application of…

Robotics · Computer Science 2024-10-29 Yinan Sun , Sai Wang

Traditional offline redundancy resolution of trajectories for redundant manipulators involves computing inverse kinematic solutions for Cartesian space paths, constraining the manipulator to a fixed path without real-time adjustments.…

Robotics · Computer Science 2025-03-19 Zhihang Yin , Fa Wu , Ziqian Wang , Jianmin Yang , Jiyong Tan , Dexing Kong

A significant challenge in manipulation motion planning is to ensure agility in the face of unpredictable changes during task execution. This requires the identification and possible modification of suitable joint-space trajectories, since…

Robotics · Computer Science 2020-05-05 Filip Marić , Oliver Limoyo , Luka Petrović , Trevor Ablett , Ivan Petrović , Jonathan Kelly

The general inverse kinematics (IK) problem of a manipulator, namely that of acquiring the self-motion manifold (SMM) of all admissible joint angles for a desired end-effector pose, plays a vital role in robotics modeling, planning and…

Robotics · Computer Science 2021-04-27 Yajue Yang , Yuanqing Wu , Jia Pan

Space robotics poses unique challenges arising from the limitation of energy and computational resources, and the complexity of the environment and employed platforms. At the control center, offline motion planning is fundamental in the…

Solving the inverse kinematics problem is a fundamental challenge in motion planning, control, and calibration for articulated robots. Kinematic models for these robots are typically parametrized by joint angles, generating a complicated…

Robotics · Computer Science 2023-12-12 Filip Marić , Matthew Giamou , Adam W. Hall , Soroush Khoubyarian , Ivan Petrović , Jonathan Kelly

This paper presents an inverse optimal control methodology and its application to training a predictive model of human motor control from a manipulation task. It introduces a convex formulation for learning both objective function and…

Systems and Control · Computer Science 2019-12-05 Marcel Menner , Peter Worsnop , Melanie N. Zeilinger

We present an analytic solution to the 3D Dubins path problem for paths composed of an initial circular arc, a straight component, and a final circular arc. These are commonly called CSC paths. By modeling the start and goal configurations…

Robotics · Computer Science 2024-05-15 Victor M. Baez , Nikhil Navkar , Aaron T. Becker

Multi-mobile robot systems show great advantages over one single robot in many applications. However, the robots are required to form desired task-specified formations, making feasible motions decrease significantly. Thus, it is challenging…

Robotics · Computer Science 2022-10-10 Wenhang Liu , Jiawei Hu , Heng Zhang , Michael Yu Wang , Zhenhua Xiong