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This paper presents a novel method for reformulating non-differentiable collision avoidance constraints into smooth nonlinear constraints using strong duality of convex optimization. We focus on a controlled object whose goal is to avoid…

最优化与控制 · 数学 2018-06-12 Xiaojing Zhang , Alexander Liniger , Francesco Borrelli

The Multiple-Depot Vehicle Scheduling Problem (MDVSP) is very important in the planning process of transport systems. It consists in assigning a set of trips to a set of vehicles in order to minimize a certain total cost. We introduce three…

最优化与控制 · 数学 2020-05-01 Emanuel Florentin Olariu , Cristian Frasinaru

Spacecraft relative motion planning is concerned with the design and execution of maneuvers relative to a nominal target. These types of maneuvers are frequently utilized in missions such as rendezvous and docking, satellite inspection and…

Given a set of celestial bodies, the problem of finding an optimal sequence of swing-bys, deep space manoeuvres (DSM) and transfer arcs connecting the elements of the set is combinatorial in nature. The number of possible paths grows…

计算工程、金融与科学 · 计算机科学 2011-04-26 Matteo Ceriotti , Massimiliano Vasile

Active debris removal (ADR) missions have garnered significant interest as means of mitigating collision risks in space. This work proposes a convex optimization-based model predictive control (MPC) approach to provide guidance for such…

最优化与控制 · 数学 2023-08-21 Minduli Wijayatunga , Roberto Armellin , Harry Holt , Laura Pirovano , Claudio Bombardelli

Sequential convex programming has been established as an effective framework for solving nonconvex trajectory planning problems. However, its performance is highly sensitive to problem parameters, including trajectory variables, algorithmic…

最优化与控制 · 数学 2025-12-09 Ziqi Xu , Lin Cheng , Di Wu , Shengping Gong

This paper studies the integrated spacecraft routing and trajectory optimization problem for satellite servicing missions involving partial en-route propellant replenishment. Unlike terrestrial routing problems, spacecraft operate in a…

最优化与控制 · 数学 2026-04-22 Euihyeon Choi , Koki Ho

In this paper, the scheduling problems of landing and takeoff aircraft on a same runway and on dual runways are addressed. In contrast to the approaches based on mixed-integer optimization models in existing works, our approach focuses on…

最优化与控制 · 数学 2025-06-06 Peng Lin , Haopeng Yang , Gui Gui , Mengxiang Zeng , Weihua Gui

We consider the problem of designing a smooth trajectory that traverses a sequence of convex sets in minimum time, while satisfying given velocity and acceleration constraints. This problem is naturally formulated as a nonconvex program. To…

机器人学 · 计算机科学 2025-04-29 Tobia Marcucci , Mathew Halm , Will Yang , Dongchan Lee , Andrew D. Marchese

We study the following optimization problem over a dynamical system that consists of several linear subsystems: Given a finite set of $n\times n$ matrices and an $n$-dimensional vector, find a sequence of $K$ matrices, each chosen from the…

最优化与控制 · 数学 2020-02-17 Zeyang Wu , Qie He

The optimal robot assembly planning problem is challenging due to the necessity of finding the optimal solution amongst an exponentially vast number of possible plans, all while satisfying a selection of constraints. Traditionally, robotic…

机器人学 · 计算机科学 2025-02-25 Kartik Nagpal , Negar Mehr

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

This paper presents a semi-Markov decision process (SMDP) formulation of the satellite task scheduling problem. This formulation can consider multiple operational objectives simultaneously and plan transitions between distinct functional…

系统与控制 · 电气工程与系统科学 2019-10-21 Duncan Eddy , Mykel Kochenderfer

Motivated by the computational difficulties incurred by popular deep learning algorithms for the generative modeling of temporal densities, we propose a cheap alternative which requires minimal hyperparameter tuning and scales favorably to…

机器学习 · 统计学 2023-10-13 Jonah Botvinick-Greenhouse , Yunan Yang , Romit Maulik

Finding solutions to the classical transportation problem is of great importance, since this optimization problem arises in many engineering and computer science applications. Especially the Earth Mover's Distance is used in a plethora of…

计算机视觉与模式识别 · 计算机科学 2014-10-15 Carsten Gottschlich , Dominic Schuhmacher

A robust drift-safe rendezvous trajectory optimization tool is developed in this work, with applications to orbital rendezvous and proximity operations. The method is based on direct collocation and utilizes a sequential convex programming…

系统与控制 · 电气工程与系统科学 2024-01-23 Andrew W. Berning , Ethan R. Burnett , Stefan Bieniawski

Optimization has been widely used to generate smooth trajectories for motion planning. However, existing trajectory optimization methods show weakness when dealing with large-scale long trajectories. Recent advances in parallel computing…

机器人学 · 计算机科学 2025-07-18 Jiajun Yu , Nanhe Chen , Guodong Liu , Chao Xu , Fei Gao , Yanjun Cao

Speculative sampling reduces the latency of autoregressive decoding for target model LLMs without sacrificing inference quality, by using a cheap draft model to suggest a candidate token and a verification criterion to accept or resample…

机器学习 · 计算机科学 2025-11-21 Rahul Krishna Thomas , Arka Pal

Reliable and efficient trajectory generation methods are a fundamental need for autonomous dynamical systems of tomorrow. The goal of this article is to provide a comprehensive tutorial of three major convex optimization-based trajectory…

In this paper, we consider the problem of minimum-time optimal control for a dynamical system with initial state uncertainties and propose a sequential convex programming (SCP) solution framework. We seek to minimize the expected terminal…

最优化与控制 · 数学 2024-09-17 Kazuya Echigo , Abhishek Cauligi , Behçet Açıkmeşe