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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

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 present an algorithm to perform fuel-optimal stationkeeping for spacecraft in unstable halo orbits with additional constraints to ensure safety in the event of a control failure. We formulate a convex trajectory-optimization problem to…

Systems and Control · Electrical Eng. & Systems 2024-06-03 Fausto Vega , Zachary Manchester , Martin Lo , Ricardo Restrepo

We develop a model predictive control (MPC) policy for station keeping on a Near-Rectilinear Halo Orbit (NRHO). The proposed policy achieves full-state tracking of a reference NRHO via a multiple-maneuver control horizon, each spaced one…

Systems and Control · Electrical Eng. & Systems 2025-10-17 Yuri Shimane , Stefano Di Cairano , Koki Ho , Avishai Weiss

Near Rectilinear Halo Orbits (NRHOs), a subclass of halo orbits around the L1 and L2 Lagrange points, are promising candidates for future lunar gateways in cis-lunar space and as staging orbits for lunar missions. Closed-loop control is…

Systems and Control · Electrical Eng. & Systems 2020-08-24 Andrew W. Berning , Dominic Liao-McPherson , Anouck Girard , Ilya Kolmanovsky

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

The Gateway will represent a primary space system useful for the Artemis program, Earth-Moon transportation, and deep space exploration. It is expected to serve as a staging location on the way to the lunar surface. This study focuses on…

Systems and Control · Electrical Eng. & Systems 2024-06-03 Chiara Pozzi , Mauro Pontani , Alessandro Beolchi , Elena Fantino

This article develops an optical navigation (OPNAV) and station-keeping pipeline for the near-rectilinear halo orbit (NRHO) in high-fidelity ephemeris model dynamics, using synthetic images of the Moon in a non-iterative horizon-based OPNAV…

Systems and Control · Electrical Eng. & Systems 2026-05-25 Yuri Shimane , Karl Berntorp , Stefano Di Cairano , Avishai Weiss

A fundamental maneuver in autonomous space operations is known as rendezvous, where a spacecraft navigates to and approaches another spacecraft. In this case study, we present linear and nonlinear benchmark models of an active chaser…

Systems and Control · Computer Science 2017-03-22 Nicole Chan , Sayan Mitra

Recent investments in cislunar applications open new frontiers for space missions within highly nonlinear dynamical regimes. In this paper, we propose a method based on Sequential Convex Programming (SCP) to loiter around a given target…

Systems and Control · Electrical Eng. & Systems 2025-04-09 Fabio Spada , Purnanand Elango , Behçet Açıkmeşe

In this paper, the trajectory planning problem for autonomous rendezvous and docking between a controlled spacecraft and a tumbling target is addressed. The use of a variable planning horizon is proposed in order to construct an appropriate…

Systems and Control · Electrical Eng. & Systems 2024-09-11 Mirko Leomanni , Renato Quartullo , Gianni Bianchini , Andrea Garulli , Antonio Giannitrapani

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

Conjunction analysis and maneuver planning for spacecraft collision avoidance remains a manual and time-consuming process, typically involving repeated forward simulations of hand-designed maneuvers. With the growing density of satellites…

Robotics · Computer Science 2025-10-23 Fausto Vega , Jon Arrizabalaga , Ryan Watson , Zachary Manchester

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

Missions to rendezvous with or capture an asteroid present significant interest both from a geophysical and safety point of view. They are key to the understanding of our solar system are as well stepping stones for interplanetary human…

Optimization and Control · Mathematics 2015-08-05 S. Bresford , Monique Chyba , Thomas Haberkorn , Geoff Patterson

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

Near-rectilinear halo orbits (NRHOs) around Earth-Moon L2 in the Circular Restricted 3-Body Problem (CR3BP) exhibit a complex dynamical landscape, featuring a band of normally elliptic orbits embedded within regions of strong instability.…

Dynamical Systems · Mathematics 2026-04-14 Joan Gimeno , Luke T. Peterson

This work presents a robust Model Predictive Controller (MPC) to solve the problem of spacecraft rendezvous in the context of the restricted three-body problem (R3BP) as will be required to dock with space stations in cislunar space. The…

Systems and Control · Electrical Eng. & Systems 2025-01-22 Julio C. Sanchez , Francisco Gavilan , Rafael Vazquez

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

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
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