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In this paper, the time- and propellant-optimal low-thrust rephasing problems in circular orbit are studied to depict their solution spaces in an atlas. The number of key parameters that settle the rephasing problems is reduced by…

动力系统 · 数学 2022-09-16 Di Wu , Fanghua Jiang , Hexi Baoyin

In this paper, we present a bi-level optimal control framework for designing low-thrust spacecraft trajectories with robustness against missed-thrust-events. The upper-level (UL) problem generates a nominal trajectory assuming full control…

最优化与控制 · 数学 2025-12-23 Amlan Sinha , Ryne Beeson

The current context of launchers reusability requires the improvement of control algorithms for their liquid-propellant rocket engines. Their transient phases are generally still performed in open loop. In this paper, it is aimed at…

In many resource-limited optimal control problems, multiple constraints may be enforced that are jointly infeasible due to external factors such as subsystem failures, unexpected disturbances, or fuel limitations. In this manuscript, we…

最优化与控制 · 数学 2023-11-06 Natalia Pavlasek , Sarah H. Q. Li , Behçet Açıkmeşe , Meeko Oishi , Claus Danielson

One of the fundamental problems in spacecraft trajectory design is finding the optimal transfer trajectory that minimizes the propellant consumption and transfer time simultaneously. We formulate this as a multi-objective optimal control…

系统与控制 · 电气工程与系统科学 2022-12-15 Nikolaus Vertovec , Sina Ober-Blöbaum , Kostas Margellos

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

This paper presents a simple approach to low-thrust optimal-fuel and optimal-time transfer problems between two elliptic orbits using the Cartesian coordinates system. In this case, an orbit is described by its specific angular momentum and…

最优化与控制 · 数学 2014-12-09 Hantian Zhang , Dong Eui Chang , Qingjie Cao

In this paper we study the problem of designing periodic orbits for a special class of hybrid systems, namely mechanical systems with underactuated continuous dynamics and impulse events. We approach the problem by means of optimal control.…

最优化与控制 · 数学 2017-02-16 Sara Spedicato , Giuseppe Notarstefano

This study presents autonomous guidance and control strategies for the purpose of reconfiguring close-range multi-satellite formations. The formation under consideration includes $N$ under-actuated deputy satellites and an uncontrolled…

系统与控制 · 电气工程与系统科学 2024-12-31 Ahmed Mahfouz , Gabriella Gaias , Florio Dalla Vedova , Holger Voos

We investigate variants of Goddard's problems for nonvertical trajectories. The control is the thrust force, and the objective is to maximize a certain final cost, typically, the final mass. In this report, performing an analysis based on…

最优化与控制 · 数学 2009-04-20 Frédéric Bonnans , Pierre Martinon , Emmanuel Trélat

A central problem in orbit transfer optimization is to determine the number, time, direction and magnitude of velocity impulses that minimize the total impulse. This problem was posed in 1967 by T. N. Edelbaum, and while notable advances…

最优化与控制 · 数学 2019-06-06 Ehsan Taheri , John L. Junkins

This paper presents a methodology for the concurrent first-stage preliminary design and ascent trajectory optimization, with application to a Vega-derived Light Launch Vehicle. The reuse as first stage of an existing upper-stage (Zefiro 40)…

最优化与控制 · 数学 2019-10-09 Lorenzo Federici , Alessandro Zavoli , Guido Colasurdo , Lucandrea Mancini , Agostino Neri

The multiple spacecraft guidance problem for proximity flight in libration point orbit is considered. A nonlinear optimal control problem with continuous-time path constraints enforcing minimum separation between each spacecraft is…

最优化与控制 · 数学 2025-09-19 Yuri Shimane , Purnanand Elango , Avishai Weiss

This paper presents a Neural Networks (NNs) based approach for designing the Fuel-Optimal Powered Descent Guidance (FOPDG) for lunar pinpoint landing. According to Pontryagin's Minimum Principle, the optimality conditions are first derived.…

最优化与控制 · 数学 2024-08-29 Kun Wang , Zheng Chen , Jun Li

This survey article deals with applications of optimal control to aerospace problems with a focus on modern geometric optimal control tools and numerical continuation techniques. Geometric optimal control is a theory combining optimal…

最优化与控制 · 数学 2017-01-24 Jiamin Zhu , Emmanuel Trélat , Max Cerf

The instantaneous power generation from a hydroelectric turbine is proportional to the product of head difference and turbine flow. The equation relating power to hydraulic variables is therefore nonlinear. Hence, optimization problems…

最优化与控制 · 数学 2018-05-04 Jorn H. Baayen , Julia Rauw , Teresa Piovesan

This paper considers an optimal impulse control problem of dynamical systems generated by a flow. The performance criteria are total costs over the infinite time horizon. Apart from the main performance to be minimized, there are multiple…

最优化与控制 · 数学 2020-10-27 Alexey Piunovskiy , Yi Zhang

This paper presents a comparative study of the applicability and accuracy of optimal control methods and neural network-based estimators in the context of porkchop plots for preliminary asteroid rendezvous mission design. The scenario…

最优化与控制 · 数学 2026-02-19 Zhong Zhang , Niccolò Michelotti , Gonçalo Oliveira Pinho , Yilin Zou , Francesco Topputo

Many real-world systems often involve physical components or operating environments with highly nonlinear and uncertain dynamics. A number of different control algorithms can be used to design optimal controllers for such systems, assuming…

系统与控制 · 电气工程与系统科学 2023-04-06 Navid Hashemi , Justin Ruths , Jyotirmoy V. Deshmukh

Spacecraft trajectory design is a global search problem, where previous work has revealed specific solution structures that can be captured with data-driven methods. This paper explores two global search problems in the circular restricted…

机器学习 · 计算机科学 2024-12-31 Jannik Graebner , Anjian Li , Amlan Sinha , Ryne Beeson