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This paper proposes a systematic method for generating practical and robust low-thrust spacecraft trajectories. One contribution is to consider the change in mass of the spacecraft at two levels: a) the propulsive acceleration and b) the…

Optimization and Control · Mathematics 2026-02-03 Meysam Babapour , Ehsan Taheri

Spacecraft operations are influenced by uncertainties such as dynamics modeling, navigation, and maneuver execution errors. Although mission design has traditionally incorporated heuristic safety margins to mitigate the effect of…

Optimization and Control · Mathematics 2025-06-10 Naoya Kumagai , Kenshiro Oguri

A novel fast multi-impulse optimization method for long-duration perturbed orbit rendezvous is proposed. First, based on the analytically estimated impulses, the terminal rendezvous deviation with precise dynamics model can be predicted.…

Chaotic Dynamics · Physics 2021-08-11 An-yi Huang , Ya-zhong Luo , Heng-nian Li

A new approach is presented for the problem of optimal impulsive rendezvous of a spacecraft in an inertial frame near a circular orbit in a Newtonian gravitational field. The total characteristic velocity to be minimized is replaced by a…

Space Physics · Physics 2015-06-12 Thomas Carter , Mayer Humi

Due to the complexity and inconstancy of the space environment, accurate mathematical models for spacecraft rendezvous are difficult to obtain, which consequently complicates the control tasks. In this paper, a linearized time-variant plant…

Systems and Control · Computer Science 2016-01-05 Neng Wan , Weiran Yao

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…

Systems and Control · Electrical Eng. & Systems 2024-01-23 Andrew W. Berning , Ethan R. Burnett , Stefan Bieniawski

We develop a probabilistic framework for \emph{rendezvous planning}: given sparse, noisy observations of a fast-moving target, plan rendezvous spatiotemporal coordinates for a set of significantly slower seeking agents. The unknown target…

Optimization and Control · Mathematics 2026-04-03 Thomas A. Scott , Lukas Taus , Yen-Hsi Richard Tsai , Tan Bui-Thanh , Justin G. R. Delva

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

Trajectory optimization of low-thrust perturbed orbit rendezvous is a crucial technology for space missions in low Earth orbits, which is difficult to solve due to its initial value sensitivity, especially when the transfer trajectory has…

Instrumentation and Methods for Astrophysics · Physics 2023-05-03 An-yi Huang , Heng-nian Li

This work considers the optimal covariance steering problem for systems subject to both additive noise and uncertain parameters which may enter multiplicatively with the state and the control. The unknown parameters are modeled as a…

Systems and Control · Electrical Eng. & Systems 2023-03-21 Jacob Knaup , Panagiotis Tsiotras

Future multi-spacecraft missions require robust autonomous trajectory optimization capabilities to ensure safe and efficient rendezvous operations. This capability hinges on solving non-convex optimal control problems in real-time, although…

Optimization and Control · Mathematics 2025-01-28 Yuji Takubo , Tommaso Guffanti , Daniele Gammelli , Marco Pavone , Simone D'Amico

This paper deals with the impulsive formation control of spacecraft in the presence of constraints on the position vector and time. Determining a set of path constraints can increase the safety and reliability in an impulsive relative…

Optimization and Control · Mathematics 2019-03-05 Amir Shakouri

In this paper we present a fast method based on successive convexification for generating fuel-optimized spacecraft rendezvous trajectories in the presence of mixed-integer constraints. A recently developed paradigm of state-triggered…

Optimization and Control · Mathematics 2019-06-13 Danylo Malyuta , Taylor P. Reynolds , Michael Szmuk , Behcet Acikmese , Mehran Mesbahi

In this paper a direct method based on a transcription by finite elements in time has been used to design optimal interplanetary trajectories, exploiting a combination of gravity assist maneuvers and low-thrust propulsion. A multiphase…

Optimization and Control · Mathematics 2011-05-11 Massimiliano Vasile , Franco Bernelli-Zazzera

Rendezvous aims at gathering all robots at a specific location, which is an important collaborative behavior for multi-robot systems. However, in an unknown environment, it is challenging to achieve rendezvous. Previous researches mainly…

Robotics · Computer Science 2024-12-04 Kun Song , Gaoming Chen , Wenhang Liu , Zhenhua Xiong

Optimizing the design of complex systems requires navigating interdependent decisions, heterogeneous components, and multiple objectives. Our monotone theory of co-design offers a compositional framework for addressing this challenge,…

Systems and Control · Electrical Eng. & Systems 2025-08-13 Yujun Huang , Marius Furter , Gioele Zardini

In this paper, the preliminary design of a space mission is approached introducing uncertainties on the design parameters and formulating the resulting reliable design problem as a multiobjective optimization problem. Uncertainties are…

Computational Engineering, Finance, and Science · Computer Science 2015-06-05 Massimiliano Vasile

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

The proposal of increasingly complex and innovative space endeavours poses growing demands for mission designers. In order to meet the established requirements and constraints while maintaining a low fuel cost, the use of low-energy…

Earth and Planetary Astrophysics · Physics 2020-06-09 Rita Neves

This paper proposes a nonlinear guidance algorithm for fuel-optimal impulsive trajectories for rendezvous operations close to a reference orbit. The approach involves overparameterized monomial coordinates and a high-order approximation of…

Optimization and Control · Mathematics 2026-01-12 Omar Regantini , Ethan R. Burnett , Antonio Rizza , Alessandro Morselli , Francesco Topputo
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