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This study proposes a new automated strategy for designing and optimizing three-dimensional interplanetary low-thrust (LT) trajectories. The method formulates the design as a hybrid optimal control problem and solves it using a two-step…

Optimization and Control · Mathematics 2023-09-22 Burhani M. Burhani , Elena Fantino , Roberto Flores , Manuel Sanjurjo-Rivo

Ensuring safety is crucial to promote the application of robot manipulators in open workspaces. Factors such as sensor errors or unpredictable collisions make the environment full of uncertainties. In this work, we investigate these…

Robotics · Computer Science 2025-04-01 Xinyu Jia , Wenxin Wang , Jun Yang , Yongping Pan , Haoyong Yu

The class of linear pentapods with a simple singularity variety is obtained by imposing architectural restrictions on the design in such a way that the manipulators singularity variety is linear in orientation position variables. It turns…

Optimization and Control · Mathematics 2019-10-14 Arvin Rasoulzadeh , Georg Nawratil

As a core part of autonomous driving systems, motion planning has received extensive attention from academia and industry. However, real-time trajectory planning capable of spatial-temporal joint optimization is challenged by nonholonomic…

Robotics · Computer Science 2023-04-11 Zhichao Han , Yuwei Wu , Tong Li , Lu Zhang , Liuao Pei , Long Xu , Chengyang Li , Changjia Ma , Chao Xu , Shaojie Shen , Fei Gao

We propose techniques for approximating bilevel optimization problems with non-smooth lower level problems that can have a non-unique solution. To this end, we substitute the expression of a minimizer of the lower level minimization problem…

Optimization and Control · Mathematics 2016-04-27 Peter Ochs , René Ranftl , Thomas Brox , Thomas Pock

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

Real-world environments are inherently uncertain, and to operate safely in these environments robots must be able to plan around this uncertainty. In the context of motion planning, we desire systems that can maintain an acceptable level of…

Robotics · Computer Science 2020-03-18 Charles Dawson , Ashkan Jasour , Andreas Hofmann , Brian Williams

In this paper we address the multi-agent collaborative object transportation problem in a partially known environment with obstacles under a specified goal condition. We propose a leader follower approach for two mobile manipulators…

Robotics · Computer Science 2023-05-03 Sumanta Ghosh , Subhajit Nath , Sarvesh Sortee , Lokesh Kumar , Titas Bera

Shortest path network interdiction is a combinatorial optimization problem on an activity network arising in a number of important security-related applications. It is classically formulated as a bilevel maximin problem representing an…

Optimization and Control · Mathematics 2010-09-06 Alexander Gutfraind , Aric A. Hagberg , David Izraelevitz , Feng Pan

Recently, the centroidal momentum dynamics has received substantial attention to plan dynamically consistent motions for robots with arms and legs in multi-contact scenarios. However, it is also non convex which renders any optimization…

Robotics · Computer Science 2018-02-27 Brahayam Ponton , Alexander Herzog , Andrea Del Prete , Stefan Schaal , Ludovic Righetti

Flexible-joint manipulators are frequently used for increased safety during human-robot collaboration and shared workspace tasks. However, joint flexibility significantly reduces the accuracy of motion, especially at high velocities and…

Robotics · Computer Science 2021-12-07 Dmytro Pavlichenko , Sven Behnke

This paper introduces a novel double regularization scheme for bilevel optimization problems whose lower-level problem is composite and convex, but not necessarily strongly convex, in the lower-level variable. The analysis focuses on the…

Optimization and Control · Mathematics 2026-02-06 Mattia Solla , Johannes O. Royset

A central aspect of robotic motion planning is collision avoidance, where a multitude of different approaches are currently in use. Optimization-based motion planning is one method, that often heavily relies on distance computations between…

Robotics · Computer Science 2022-04-21 Simon Zimmermann , Matthias Busenhart , Simon Huber , Roi Poranne , Stelian Coros

Robotic locomotion often relies on sequenced gaits to efficiently convert control input into desired motion. Despite extensive studies on gait optimization, achieving smooth and efficient gait transitions remains challenging. In this paper,…

Robotics · Computer Science 2024-09-17 Jinwoo Choi , Ross L. Hatton

Despite their abundance in robotics and nature, underactuated systems remain a challenge for control engineering. Trajectory optimization provides a generally applicable solution, however its efficiency strongly depends on the skill of the…

Robotics · Computer Science 2020-03-04 Christian Eilers , Jonas Eschmann , Robin Menzenbach , Boris Belousov , Fabio Muratore , Jan Peters

A control optimization approach is presented for a chaser spacecraft tasked with maintaining proximity to a target space object while avoiding collisions. The target object trajectory is provided numerically to account for both passive…

Optimization and Control · Mathematics 2025-07-01 Saif R. Kazi , Harsha Nagarajan , Hassan Hijazi , Przemek Wozniak

Fast and precise motion control is important for industrial robots in manufacturing applications. However, some collaborative robots sacrifice precision for safety, particular for high motion speed. The performance degradation is caused by…

Robotics · Computer Science 2019-08-12 Shuyang Chen , John T. Wen

We present a novel algorithm for collision-free kinematics of multiple manipulators in a shared workspace with moving obstacles. Our optimization-based approach simultaneously handles collision-free constraints based on reciprocal velocity…

Robotics · Computer Science 2019-03-12 Liangliang Zhao , Jingdong Zhao , Hong Liu , Dinesh Manocha

In this article we show how the model predictive path following controller allows robotic manipulators to stop at obstructions in a way that model predictive trajectory tracking controllers cannot. We present both controllers as applied to…

Robotics · Computer Science 2017-03-08 Mathias Hauan Arbo , Esten Ingar Grøtli , Jan Tommy Gravdahl

Navigating mobile robots through environments shared with humans is challenging. From the perspective of the robot, humans are dynamic obstacles that must be avoided. These obstacles make the collision-free space nonconvex, which leads to…

Robotics · Computer Science 2023-03-15 O. de Groot , L. Ferranti , D. Gavrila , J. Alonso-Mora
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