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A deep-space exploration mission with low-thrust propulsion to rendezvous with multiple asteroids is investigated. Indirect methods, based on the optimal control theory, are implemented to optimize the fuel consumption. The application of…

Instrumentation and Methods for Astrophysics · Physics 2016-03-09 Fanghua Jiang , Gao Tang

In the preliminary trajectory design of the multi-target rendezvous problem, a model that can quickly estimate the cost of the orbital transfer is essential. The estimation of the transfer time using solar sail between two arbitrary orbits…

Computational Engineering, Finance, and Science · Computer Science 2019-10-08 Yu Song , Shengping Gong

The rapid expansion of mega-constellations in low Earth orbits has posed significant challenges to space traffic management, necessitating periodic inspections of satellites to ensure the sustainability of the space environment when…

Systems and Control · Electrical Eng. & Systems 2025-07-08 An-Yi Huang , Hong-Xin Shen , Zhao Li , Cong Sun , Chao Sheng , Zheng-Zhong Kuai

The Shortest-Path Problem in Graph of Convex Sets (SPP in GCS) is a recently developed optimization framework that blends discrete and continuous decision making. Many relevant problems in robotics, such as collision-free motion planning,…

Multi-revolution low-thrust trajectory optimization problems are important and challenging in space mission design. In this paper, an efficient, accurate, and widely applicable pseudospectral method is proposed to solve multi-revolution…

Systems and Control · Electrical Eng. & Systems 2025-07-03 Yilin Zou , Fanghua Jiang

Preliminary low-thrust spacecraft mission design is a global search problem characterized by a complex solution landscape, multiple objectives, and numerous local minima. During this phase, mission parameters are often not yet fully…

Systems and Control · Electrical Eng. & Systems 2026-05-12 Jannik Graebner , Ryne Beeson

Spacecraft equipped with multiple propulsion modes or systems can offer enhanced performance and mission flexibility compared with traditional configurations. Despite these benefits, the trajectory optimization of spacecraft utilizing such…

Instrumentation and Methods for Astrophysics · Physics 2025-12-03 Jack Yarndley

This paper addresses the computation of Delta-V-optimal, safe, relative orbit reconfigurations for satellite formations in a centralized fashion. The formations under consideration comprise an uncontrolled chief spacecraft flying with an…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Ahmed Mahfouz , Gabriella Gaias , Florio Dalla Vedova , Holger Voos

This paper delves into a rendezvous scenario involving a chaser and a target spacecraft, focusing on the application of Model Predictive Control (MPC) to design a controller capable of guiding the chaser toward the target. The operational…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Pedro Taborda , Hugo Matias , Daniel Silvestre , Pedro Lourenço

In this paper, we develop a computationally-efficient approach to minimum-time trajectory optimization using input-output data-based models, to produce an end-to-end data-to-control solution to time-optimal planning/control of dynamic…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Nan Li , Ehsan Taheri , Ilya Kolmanovsky , Dimitar Filev

This paper shows how to find lower bounds on, and sometimes solve globally, a large class of nonlinear optimal control problems with impulsive controls using semi-definite programming (SDP). This is done by relaxing an optimal control…

Optimization and Control · Mathematics 2011-10-18 Mathieu Claeys , Denis Arzelier , Didier Henrion , Jean-Bernard Lasserre

This paper addresses the challenge of accommodating nonlinear dynamics and constraints in rapid trajectory optimization, envisioned for use in the context of onboard guidance. We present a novel framework that uniquely employs…

Optimization and Control · Mathematics 2024-10-15 Ethan R. Burnett , Francesco Topputo

In this paper we describe a machine learning based framework for spacecraft swarm trajectory planning. In particular, we focus on coordinating motions of multi-spacecraft in formation flying through passive relative orbit(PRO) transfers.…

Robotics · Computer Science 2022-01-31 Alex Sabol , Kyongsik Yun , Muhammad Adil , Changrak Choi , Ramtin Madani

Preliminary spacecraft trajectory optimization is a parameter dependent global search problem that aims to provide a set of solutions that are of high quality and diverse. In the case of numerical solution, it is dependent on the original…

Optimization and Control · Mathematics 2024-12-31 Ryne Beeson , Anjian Li , Amlan Sinha

Spacecraft rendezvous enables on-orbit servicing, debris removal, and crewed docking, forming the foundation for a scalable space economy. Designing such missions requires rapid exploration of the tradespace between control cost and flight…

Optimization and Control · Mathematics 2026-01-13 Yuji Takubo , Daniele Gammelli , Marco Pavone , Simone D'Amico

UAV trajectory planning is often done in a two-step approach, where a low-dimensional path is refined to a dynamic trajectory. The resulting trajectories are only locally optimal, however. On the other hand, direct planning in…

Robotics · Computer Science 2022-05-05 Sebastian Schräder , Daniel Schleich , Sven Behnke

Space mission design places a premium on cost and operational efficiency. The search for new science and life beyond Earth calls for spacecraft that can deliver scientific payloads to geologically rich yet hazardous landing sites. At the…

Optimization and Control · Mathematics 2021-08-25 Danylo Malyuta , Yue Yu , Purnanand Elango , Behcet Acikmese

Reliable and efficient trajectory optimization methods are a fundamental need for autonomous dynamical systems, effectively enabling applications including rocket landing, hypersonic reentry, spacecraft rendezvous, and docking. Within such…

Robotics · Computer Science 2024-01-09 Tommaso Guffanti , Daniele Gammelli , Simone D'Amico , Marco Pavone

We consider the Multi-Robot Task Allocation (MRTA) problem that aims to optimize an assignment of multiple robots to multiple tasks in challenging environments which are with densely populated obstacles and narrow passages. In such…

Robotics · Computer Science 2025-06-10 Seabin Lee , Joonyeol Sim , Changjoo Nam

In this paper, we consider the classical spacecraft rendezvous problem in which the so-called active spacecraft has to approach the target spacecraft which is moving in an elliptical orbit around a planet by using the minimum possible…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Vrushabh Zinage , Efstathios Bakolas