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Application of traditional indirect optimization methods to optimal control problems (OCPs) with control and state path constraints is not a straightforward task. However, recent advances in regularization techniques and numerical…

最优化与控制 · 数学 2019-10-22 Kshitij Mall , Ehsan Taheri

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…

机器人学 · 计算机科学 2020-08-04 Philipp Foehn , Davide Scaramuzza

This work introduces novel computational methods for entropic optimal transport (OT) problems under martingale-type conditions. The considered problems include the discrete martingale optimal transport (MOT) problem. Moreover, as the…

最优化与控制 · 数学 2025-08-26 Xun Tang , Michael Shavlovsky , Holakou Rahmanian , Tesi Xiao , Lexing Ying

In this work, we present a method for minimizing the time required for a redundant dual-arm robot to follow a desired relative Cartesian path at constant path speed by optimizing its joint trajectories, subject to position, velocity, and…

机器人学 · 计算机科学 2025-06-05 Jonathan Fried , Santiago Paternain

Optimal Transport (OT) problems arise in a wide range of applications, from physics to economics. Getting numerical approximate solution of these problems is a challenging issue of practical importance. In this work, we investigate the…

This paper presents a method for guiding a robot manipulator to capture and bring a tumbling satellite to a state of rest. The proposed approach includes developing a coordination control for the combined system of the space robot and the…

机器人学 · 计算机科学 2023-03-21 Farhad Aghili

This paper addresses the spacecraft relative orbit reconfiguration problem of minimizing the delta-v cost of impulsive control actions while achieving a desired state in fixed time. The problem is posed in relative orbit element (ROE)…

系统与控制 · 电气工程与系统科学 2020-03-03 Michelle Chernick , Simone D'Amico

With the development of human space exploration, the space environment is gradually filled with abandoned satellite debris and unknown micrometeorites, which will seriously affect capture motion of space robot. Hence, a novel fast…

机器人学 · 计算机科学 2021-09-02 Wen Yan , Yicheng Liu

Orbital maneuver planning is a critical aspect of mission design, aimed at minimizing propellant consumption, which is directly correlated with the total velocity change ($\Delta V$). While analytical solutions like the Hohmann and…

地球与行星天体物理 · 物理学 2025-08-06 Phuc Hao Do , Tran Duc Le

In this paper, we consider the adaptive linear quadratic Gaussian control problem, where both the linear transformation matrix of the state $A$ and the control gain matrix $B$ are unknown. The proposed adaptive optimal control only assumes…

最优化与控制 · 数学 2024-09-17 Nian Liu , Cheng Zhao , Shaolin Tan , Jinhu Lü

Consider the spatial restricted three-body problem, as a model for the motion of a spacecraft relative to the Sun-Earth system. We focus on the dynamics near the equilibrium point $L_1$, located between the Sun and the Earth. We show that…

动力系统 · 数学 2025-09-25 Amadeu Delshams , Marian Gidea , Pablo Roldan

Point sets matching problems can be handled by optimal transport. The mechanism behind it is that optimal transport recovers the point-to-point correspondence associated with the least curl deformation. Optimal transport is a special form…

最优化与控制 · 数学 2023-02-17 Janith Wijesinghe , Pengwen Chen

We present an approach to enhance wheeled planetary rover dead-reckoning localization performance by leveraging the use of zero-type constraint equations in the navigation filter. Without external aiding, inertial navigation solutions…

机器人学 · 计算机科学 2020-03-27 Cagri Kilic , Jason N. Gross , Nicholas Ohi , Ryan Watson , Jared Strader , Thomas Swiger , Scott Harper , Yu Gu

The minimum orbital intersection distance is used as a measure to assess potential close approaches and collision risks between astronomical objects. Methods to calculate this quantity have been proposed in several previous publications.…

天体物理仪器与方法 · 物理学 2019-12-25 José Manuel Hedo , Elena Fantino , Manuel Ruíz , Jesús Pelaez

We propose an optimal control method for simultaneous slewing and vibration control of flexible spacecraft. Considering dynamics on different time scales, the optimal control problem is discretized on micro and macro time grids using a…

最优化与控制 · 数学 2020-11-02 Yana Lishkova , Sina Ober-Blöbaum , Mark Cannon , Sigrid Leyendecker

With much research has been conducted into trajectory planning for quadrotors, planning with spatial and temporal optimal trajectories in real-time is still challenging. In this paper, we propose a framework for generating large-scale…

机器人学 · 计算机科学 2020-02-26 Zhepei Wang , Xin Zhou , Chao Xu , Jian Chu , Fei Gao

Given $n$ points in a circular region $C$ in the plane, we study the problems of moving the $n$ points to its boundary to form a regular $n$-gon such that the maximum (min-max) or the sum (min-sum) of the Euclidean distances traveled by the…

计算几何 · 计算机科学 2011-07-07 Danny Z. Chen , Xuehou Tan , Haitao Wang , Gangshan Wu

We present an energy-preserving mechanic formulation for dynamic quasi-brittle fracture in an Eulerian-Lagrangian formulation, where a second-order phase-field equation controls the damage evolution. The numerical formulation adapts in…

数学物理 · 物理学 2022-02-23 Nicolas A. Labanda , Luis Espath , Victor Manuel Calo

Movable antennas (MAs) have received increasing attention in wireless communications due to their capability of antenna position adjustment to reconfigure wireless channels. However, moving MAs results in non-negligible delay, which may…

系统与控制 · 电气工程与系统科学 2025-09-18 Qingliang Li , Weidong Mei , Boyu Ning , Rui Zhang

In this paper, we present a novel strategy to compute minimum-time trajectories for quadrotors in constrained environments. In particular, we consider the motion in a given flying region with obstacles and take into account the physical…

最优化与控制 · 数学 2017-06-22 Sara Spedicato , Giuseppe Notarstefano