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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

This paper presents a convex approach to the optimization of a cooperative rendezvous, that is, the problem of two distant spacecraft that simultaneously operate to get closer. Convex programming guarantees convergence towards the optimal…

Optimization and Control · Mathematics 2020-09-02 Boris Benedikter , Alessandro Zavoli , Guido Colasurdo

This paper presents a novel methodology for solving the time-optimal trajectory optimization problem for interplanetary solar-sail missions using successive convex programming. Based on the non-convex problem, different convexification…

Computational Engineering, Finance, and Science · Computer Science 2024-12-20 Yu Song , Shengping Gong

We present successive convexification, a real-time-capable solution method for nonconvex trajectory optimization, with continuous-time constraint satisfaction and guaranteed convergence, that only requires first-order information. The…

Optimization and Control · Mathematics 2024-04-26 Purnanand Elango , Dayou Luo , Abhinav G. Kamath , Samet Uzun , Taewan Kim , Behçet Açıkmeşe

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

In this paper, we employ successive convexification to solve the minimum-time 6-DoF rocket powered landing problem. The contribution of this paper is the development and demonstration of a free-final-time problem formulation that can be…

Optimization and Control · Mathematics 2018-02-13 Michael Szmuk , Behcet Acikmese

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 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

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

A fundamental issue at the core of trajectory optimization on smooth manifolds is handling the implicit manifold constraint within the dynamics. The conventional approach is to enforce the dynamic model as a constraint. However, we show…

Optimization and Control · Mathematics 2025-03-18 Spencer Kraisler , Mehran Mesbahi , Behcet Acikmese

The optimal design of multi-target rendezvous and flyby missions is challenging due to the combination of traditional spacecraft trajectory optimization and high-dimensional combinatorial problems. This often requires large-scale global…

Instrumentation and Methods for Astrophysics · Physics 2025-01-24 Jack Yarndley , Harry Holt , Roberto Armellin

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 present an optimization-based approach for fuel-efficient spacecraft rendezvous to the Gateway, a space station that will be deployed on a near rectilinear halo orbit (NRHO) around the Moon. The approach: i) ensures passive safety and…

Optimization and Control · Mathematics 2025-05-26 Purnanand Elango , Abraham P. Vinod , Kenji Kitamura , Behçet Açıkmeşe , Stefano Di Cairano , Avishai Weiss

We implement a fully factorization-free algorithm for nonconvex, free-final-time trajectory optimization. This algorithm is based on sequential convex programming and utilizes an inverse-free, exact discretization procedure to ensure…

Optimization and Control · Mathematics 2024-02-08 Govind M. Chari , Behçet Açıkmeşe

This paper develops a sequential convex programming approach for Mars entry trajectory planning by range discretization. To improve the accuracy of numerical integration, the range of entry trajectory is selected as the independent variable…

Systems and Control · Electrical Eng. & Systems 2022-01-25 Xu Liu , Shuang Li , Ming Xin

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 present the application of successive convexification methods to autonomous driving problems borrowed from recent aerospace literature. We formulate two optimization problems within the successive convexification…

Optimization and Control · Mathematics 2020-10-14 Ali Boyali , Simon Thompson , David Wong

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

Successive convex programming (SCP) is a powerful class of direct optimization methods, known for its polynomial complexity and computational efficiency, making it particularly suitable for autonomous applications. Direct methods are also…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Saeid Tafazzol , Ehsan Taheri

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
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