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Generating low-thrust transfer trajectories between Earth and the Near Rectilinear Halo Orbit (NRHO), that is selected for NASA's Gateway, can be challenging due to the low control authority available from the propulsion system and the…

Earth and Planetary Astrophysics · Physics 2024-09-06 Nicholas P. Nurre , Ehsan Taheri

A model predictive control (MPC) framework is developed for station-keeping in spacecraft formation flight along libration point orbits. At each control period, the MPC policy solves a multi-vehicle optimal control problem (MVOCP) that…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Yuri Shimane , Purnanand Elango , Avishai Weiss

We study a more complex case of Hohmann orbital transfer of a satellite by considering non-coplanar and elliptical orbits, instead of planar and circular orbits. We use as parameter the angle between the initial and transference planes that…

Earth and Planetary Astrophysics · Physics 2015-09-21 Angel Rincon , Patricio Rojo , Elvis Lacruz , Gabriel Abellan , Sttiwuer Diaz

We provide a constructive method designed in order to control the stability of a given periodic orbit of a general completely integrable system. The method consists of a specific type of perturbation, such that the resulting perturbed…

Dynamical Systems · Mathematics 2015-03-04 Razvan M. Tudoran

Motion planning is a critical component of intelligent unmanned systems, enabling their complex autonomous operations. However, current planning algorithms still face limitations in planning efficiency due to inflexible strategies and weak…

Robotics · Computer Science 2026-03-04 Yinghao Zhao , Chenguang Dai , Liang Lyu , Zhenchao Zhang , Chaozhen Lan , Hong Xie

This paper investigates the infinite horizon optimal control problem (OCP) for space applications characterized by nonlinear dynamics. The proposed approach divides the problem into a finite horizon OCP with a regularized terminal cost,…

Optimization and Control · Mathematics 2025-10-13 Abhijeet , Mohamed Naveed Gul Mohamed , Aayushman Sharma , Suman Chakravorty

This work addresses the problem of kinematic trajectory planning for mobile manipulators with non-holonomic constraints, and holonomic operational-space tracking constraints. We obtain whole-body trajectories and time-varying kinematic…

Robotics · Computer Science 2018-01-17 Markus Giftthaler , Farbod Farshidian , Timothy Sandy , Lukas Stadelmann , Jonas Buchli

Application of traditional indirect optimization methods to optimal control problems (OCPs) with control and state path constraints is not a straightforward task. However, recent advances in regularization techniques and numerical…

Optimization and Control · Mathematics 2019-10-22 Kshitij Mall , Ehsan Taheri

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

In this paper we provide an optimal control based strategy to explore feasible trajectories of nonlinear systems, that is to find curves that satisfy the dynamics as well as point-wise state-input constraints. The strategy is interesting…

Optimization and Control · Mathematics 2011-12-06 Giuseppe Notarstefano , John Hauser

Solving optimal control problems for transport-dominated partial differential equations (PDEs) can become computationally expensive, especially when dealing with high-dimensional systems. To overcome this challenge, we focus on developing…

Optimization and Control · Mathematics 2026-03-31 Tobias Breiten , Shubhaditya Burela , Philipp Schulze

We consider the planar circular restricted three-body problem (PCRTBP), as a model for the motion of a spacecraft relative to the Earth-Moon system. We focus on the Lagrange equilibrium points $L_1$ and $L_2$. There are families of Lyapunov…

Dynamical Systems · Mathematics 2022-01-12 Marian Gidea , Rafael de la Llave , Maxwell Musser

This paper presents a new fast and robust algorithm that provides fuel-optimal impulsive control input sequences that drive a linear time-variant system to a desired state at a specified time. This algorithm is applicable to a broad class…

Optimization and Control · Mathematics 2020-10-06 Adam W. Koenig , Simone D'Amico

A control optimization approach is presented for a chaser spacecraft tasked with maintaining proximity to a target space object while avoiding collisions. The target object trajectory is provided numerically to account for both passive…

Optimization and Control · Mathematics 2025-07-01 Saif R. Kazi , Harsha Nagarajan , Hassan Hijazi , Przemek Wozniak

The time-dependent restricted $(n+1)$-body problem concerns the study of a massless body (satellite) under the influence of the gravitational field generated by $n$ primary bodies following a periodic solution of the $n$-body problem. We…

Dynamical Systems · Mathematics 2024-09-09 Carlos Barrera , Abimael Bengochea , Carlos García-Azpeitia

We investigate optimal control of linear port-Hamiltonian systems with control constraints, in which one aims to perform a state transition with minimal energy supply. Decomposing the state space into dissipative and non-dissipative (i.e.…

Optimization and Control · Mathematics 2021-04-13 Manuel Schaller , Friedrich Philipp , Timm Faulwasser , Karl Worthmann , Bernhard Maschke

This work introduces a novel path-following control strategy inspired by the famous two-body problem, aiming to stabilize any Keplerian orbit. Utilizing insights from the mathematical structure of the two-body problem, we derive a robust…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Rodolfo Batista Negri , Antônio Fernando Bertachini de Almeida Prado

The decarbonization of many heavy power-consuming industries is dependent on the integration of renewable energy sources and energy storage systems in isolated autonomous power systems. The optimal energy management in such schemes becomes…

Systems and Control · Electrical Eng. & Systems 2022-08-19 Spyridon Chapaloglou , Erick Alves , Vincenzo Trovato , Elisabetta Tedeschi

The problem under consideration is to drive a spatial vehicle to a target at a given final time while minimizing fuel consumption. This is a classical optimal control problem in a deterministic setting. However temporary stochastic failures…

Numerical Analysis · Mathematics 2025-11-19 Jean-Philippe Chancelier , Pierre Carpentier , Guy Cohen , Thierry Dargent , Richard Epenoy

As the number of uncontrollable objects in low earth orbit is rising, the thread of collisions and thus the breakdown of working satellites becomes worth analyzing. Consequently, projects on removing objects from the important orbits are…

Optimization and Control · Mathematics 2013-07-05 Johannes Michael , Kurt Chudej , Matthias Gerdts , Jürgen Pannek