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Equipping a spacecraft with multiple solar-powered electric engines (of the same or different types) compounds the task of optimal trajectory design due to presence of both real-valued inputs (power input to each engine in addition to the…

最优化与控制 · 数学 2020-06-24 Ehsan Taheri , John L. Junkins , Ilya Kolmanovsky , Anouck Girard

In this work, we develop a new method to design energy minimum low-thrust missions (L2-minimization). In the Circular Restricted Three Body Problem, the knowledge of invariant manifolds helps us initialize an indirect method solving a…

最优化与控制 · 数学 2016-07-04 Maxime Chupin , Thomas Haberkorn , Emmanuel Trélat

This paper studies optimal trajectory-tracking for driftless, x-flat nonlinear systems with three states and two inputs. The tracking problem is formulated in Bolza form with a quadratic cost of the tracking error and its derivative.…

最优化与控制 · 数学 2026-04-07 Raphael Buchinger , Georg Hartl , Lukas Ecker , Markus Schöberl

The method of fundamental solutions (MFS) is known to be effective for solving 3D Laplace and Stokes Dirichlet boundary value problems in the exterior of a large collection of simple smooth objects. Here we present new scalable MFS…

数值分析 · 数学 2025-08-22 Anna Broms , Alex H. Barnett , Anna-Karin Tornberg

In this paper we study a utility maximization problem with both optimal control and optimal stopping in a finite time horizon. The value function can be characterized by a variational equation that involves a free boundary problem of a…

数理金融 · 定量金融 2018-10-23 Jingtang Ma , Jie Xing , Harry Zheng

This paper proposes a solution for multiple-impulse orbital maneuvers near circular orbits for special cases where orbital observations are not globally available and the spacecraft is being observed through a limited window from a ground…

最优化与控制 · 数学 2020-06-02 Amir Shakouri , Seid H. Pourtakdoust , Mohammad Sayanjali

The prevailing assumption holds that on-orbit servicing (OOS) of mega-constellations is infeasible due to prohibitive fuel consumption incurred by multiple rendezvous maneuvers across vast and dispersed satellite populations. To address…

经典物理 · 物理学 2026-05-13 Li Zhengrui , Feng Guanhua , Wu Xiaokun , Li Wenhao , Yue Yuxian

Efficient performance of a number of engineering systems is achieved through different modes of operation - yielding systems described as "hybrid", containing both real-valued and discrete decision variables. Prominent examples of such…

最优化与控制 · 数学 2019-10-22 Ehsan Taheri , John L. Junkins , Ilya Kolmanovsky , Anouck Girard

This work aims to introduce the framework of polynomial optimization theory to solve fractional polynomial problems (FPPs). Unlike other widely used optimization frameworks, the proposed one applies to a larger class of FPPs, not…

信息论 · 计算机科学 2018-10-17 Andrea Pizzo , Alessio Zappone , Luca Sanguinetti

We propose a novel feasible-path algorithm to solve the optimal power flow (OPF) problem for real-time use cases. The method augments the seminal work of Dommel and Tinney with second-order derivatives to work directly in the reduced space…

最优化与控制 · 数学 2026-05-11 François Pacaud , Daniel Adrian Maldonado , Sungho Shin , Michel Schanen , Mihai Anitescu

An accurate energy efficiency analytical model based on a two-mode circuitry was recently proposed; and the model showed that the use of this circuitry can significantly improve a system's energy efficiency. In this paper, we use this…

信号处理 · 电气工程与系统科学 2018-02-28 Jinkun Xu , Yu Chen , Hao Chen , Qimei Cui , Xiaofeng Tao

In this project, we attempt to optimize a landing trajectory of a rocket. The goal is to minimize the total fuel consumption during the landing process using different techniques. Once the optimal and feasible trajectory is generated using…

人工智能 · 计算机科学 2024-05-28 Junhao Yu , Jiarun Wei

This study addresses optimal impulsive trajectory design within the Circular Restricted Three-Body Problem (CR3BP), presenting a global optimization-based approach to identify minimum $\Delta V$ transfers between periodic orbits, including…

空间物理 · 物理学 2024-05-30 Flavio Tagliaferri , Emmanuel Blazquez , Giacomo Acciarini , Dario Izzo

Finding optimal trajectories for multiple traffic demands in a congested network is a challenging task. Optimal transport theory is a principled approach that has been used successfully to study various transportation problems. Its usage is…

物理与社会 · 物理学 2024-10-10 Abdullahi Adinoyi Ibrahim , Michael Muehlebach , Caterina De Bacco

In this paper, the trajectory planning problem for autonomous rendezvous and docking between a controlled spacecraft and a tumbling target is addressed. The use of a variable planning horizon is proposed in order to construct an appropriate…

系统与控制 · 电气工程与系统科学 2024-09-11 Mirko Leomanni , Renato Quartullo , Gianni Bianchini , Andrea Garulli , Antonio Giannitrapani

We present an efficient transcription method for highly oscillatory optimal control problems. For these problems, the optimal state trajectory consists of fast oscillations that change slowly over the time horizon. Out of a large number of…

最优化与控制 · 数学 2022-05-19 Jakob Harzer , Jochem De Schutter , Moritz Diehl

This paper presents a trajectory optimization and control approach for the guidance of an orbital four-arm robot in extravehicular activities. The robot operates near the target spacecraft, enabling its arm's end-effectors to reach the…

In this work we apply a novel, accurate, fast, and robust physics-informed neural network framework for data-driven parameters discovery of problems modeled via parametric ordinary differential equations (ODEs) called the Extreme Theory of…

计算物理 · 物理学 2020-08-14 Enrico Schiassi , Andrea D'Ambrosio , Mario De Florio , Roberto Furfaro , Fabio Curti

Long time-duration low-thrust nonlinear optimal spacecraft trajectory global search is a computationally and time expensive problem characterized by clustering patterns in locally optimal solutions. During preliminary mission design,…

系统与控制 · 电气工程与系统科学 2025-11-24 Jannik Graebner , Ryne Beeson

Mean field control (MFC) problems have been introduced to study social optima in very large populations of strategic agents. The main idea is to consider an infinite population and to simplify the analysis by using a mean field…

最优化与控制 · 数学 2023-03-01 Sebastian Baudelet , Brieuc Frénais , Mathieu Laurière , Amal Machtalay , Yuchen Zhu