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This paper presents a computationally efficient optimization algorithm for solving nonconvex optimal control problems that involve discrete logic constraints. Traditional solution methods for these constraints require binary variables and…

Optimization and Control · Mathematics 2021-07-16 Danylo Malyuta , Behcet Acikmese

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

We consider the interplanetary trajectory design problem posed by the 8th edition of the Global Trajectory Optimization Competition and present the end-to-end strategy developed by the team ACT-ISAS (a collaboration between the European…

This paper addresses the critical problem of co-optimizing the optimal locations for orbital depots and the sequence of in-space servicing for a satellite constellation. While most traditional studies used network optimization for this…

Optimization and Control · Mathematics 2025-08-27 Euihyeon Choi , Koki Ho

A method for the rapid estimation of transfer costs for the removal of debris in low Earth orbit is proposed. Debris objects among a population with similar inclination values are considered. The proposed approximate analysis can provide…

Instrumentation and Methods for Astrophysics · Physics 2020-04-07 Hong-Xin Shen , Lorenzo Casalino

This paper proposes a two-phase framework to solve an optimal multi-target Lambert rendezvous problem. The first phase solves a series of single-target rendezvous problems for all departure-arrival object pairs to generate the elementary…

Optimization and Control · Mathematics 2018-02-21 Jun Bang , Jaemyung Ahn

As satellites have proliferated, interest has increased in autonomous rendezvous, proximity operations, and docking (ARPOD). A fundamental challenge in these tasks is the uncertainties when operating in space, e.g., in measurements of…

Systems and Control · Electrical Eng. & Systems 2026-02-26 Oscar Jed R. Chuy , Matthew T. Hale , Vignesh Sivaramakrishnan , Sean Phillips , Ricardo G. Sanfelice

In this work we present a trajectory Optimization framework for whole-body motion planning through contacts. We demonstrate how the proposed approach can be applied to automatically discover different gaits and dynamic motions on a…

Robotics · Computer Science 2016-07-18 Michael Neunert , Farbod Farshidian , Alexander W. Winkler , Jonas Buchli

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…

Computational Engineering, Finance, and Science · Computer Science 2011-04-26 Matteo Ceriotti , Massimiliano Vasile

This article presents a multi-robot trajectory planning method which not only guarantees optimization feasibility and but also resolves deadlocks in obstacle-dense environments. The method is proposed via formulating a recursive…

Robotics · Computer Science 2023-02-23 Yuda Chen , Chenghan Wang , Meng Guo , Zhongkui Li

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…

Space Physics · Physics 2024-05-30 Flavio Tagliaferri , Emmanuel Blazquez , Giacomo Acciarini , Dario Izzo

Multi-rendezvous spacecraft trajectory optimization problems are notoriously difficult to solve. For this reason, the design space is usually pruned by using heuristics and past experience. As an alternative, the current research explores…

Optimization and Control · Mathematics 2020-11-16 Aleksandar Petrov , Ron Noomen

Low-thrust trajectories play a crucial role in optimizing scientific output and cost efficiency in asteroid belt missions. Unlike high-thrust transfers, low-thrust trajectories require solving complex optimal control problems. This…

Earth and Planetary Astrophysics · Physics 2024-05-30 Giacomo Acciarini , Laurent Beauregard , Dario Izzo

The extremely sensitive and highly nonlinear search space of interplanetary transfer trajectory design bring about big challenges on global optimization. As a representative, the current known best solution of the global trajectory…

Artificial Intelligence · Computer Science 2021-04-14 Mingcheng Zuo , Guangming Dai , Lei Peng , Zhe Tang

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…

Artificial Intelligence · Computer Science 2024-05-28 Junhao Yu , Jiarun Wei

Combinatorial optimization problems for clustering are known to be NP-hard. Most optimization methods are not able to find the global optimum solution for all datasets. To solve this problem, we propose a global optimal path-based…

Machine Learning · Computer Science 2019-09-18 Qidong Liu , Ruisheng Zhang

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…

Optimization and Control · Mathematics 2021-06-18 Danylo Malyuta , Taylor P. Reynolds , Michael Szmuk , Thomas Lew , Riccardo Bonalli , Marco Pavone , Behcet Acikmese

Approaching a tumbling target safely is a critical challenge in space debris removal missions utilizing robotic manipulators onboard servicing satellites. In this work, we propose a trajectory planning method based on nonlinear optimization…

Robotics · Computer Science 2025-12-29 Kenta Iizuka , Akiyoshi Uchida , Kentaro Uno , Kazuya Yoshida

This paper describes the heuristics used by the Shadoks team for the CG:SHOP 2021 challenge. This year's problem is to coordinate the motion of multiple robots in order to reach their targets without collisions and minimizing the makespan.…

Computational Geometry · Computer Science 2022-12-09 Loïc Crombez , Guilherme D. da Fonseca , Yan Gerard , Aldo Gonzalez-Lorenzo , Pascal Lafourcade , Luc Libralesso

Dynamic System Identification approaches usually heavily rely on the evolutionary and gradient-based optimisation techniques to produce optimal excitation trajectories for determining the physical parameters of robot platforms. Current…

Robotics · Computer Science 2020-09-24 Marija Jegorova , Joshua Smith , Michael Mistry , Timothy Hospedales