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Recent successful lunar landing missions have generated significant interest among space agencies in establishing a permanent human settlement on the Moon. Building a lunar base requires multiple and frequent landing missions to support…

Systems and Control · Electrical Eng. & Systems 2025-12-02 Aditya Rallapalli , Suraj Kumar , Rijesh MP , C K Koteswar Rao , Bharat Kumar GVP

This work focuses on minimum-time low-thrust orbit transfers from a prescribed low Earth orbit to a specified low lunar orbit. The well-established indirect formulation of minimum-time orbit transfers is extended to a multibody dynamical…

Earth and Planetary Astrophysics · Physics 2024-06-04 Alessandro Beolchi , Mauro Pontani , Chiara Pozzi , Elena Fantino

The Circular Restricted Three-Body Problem (CR3BP) models the motion of a massless body under the gravitational influence of two primaries. We present a method for approximating a given family of periodic orbits by low-degree implicit…

Algebraic Geometry · Mathematics 2026-04-30 Ruiqi Huang , Anton Leykin

In this paper we develop a geometric analysis and a numerical algorithm, based on indirect methods, to solve optimal guidance of endo-atmospheric launch vehicle systems under mixed control-state constraints. Two main difficulties are…

Optimization and Control · Mathematics 2019-03-13 Riccardo Bonalli , Bruno Hérissé , Emmanuel Trélat

This article solves an optimal control problem arising in attitude control of a spacecraft under state and control constraints. We first derive the discrete-time attitude dynamics by employing discrete mechanics. The orientation transfer,…

Systems and Control · Computer Science 2017-11-27 Karmvir Singh Phogat , Debasish Chatterjee , Ravi Banavar

This paper focuses on the energy-time optimal control of wheeled mobile robots undergoing point-to-point transitions in an obstacles free space. Two interchangeable models are used to arrive at the necessary conditions for optimality. The…

Robotics · Computer Science 2022-06-07 Youngjin Kim , Tarunraj Singh

In the circular restricted three-body problem, low energy transit orbits are revealed by linearizing the governing differential equations about the collinear Lagrange points. This procedure fails when time-periodic perturbations are…

Dynamical Systems · Mathematics 2026-02-24 Joshua Fitzgerald , Shane Ross

Trajectory design in cislunar space under a High-Fidelity Ephemeris Model (HFEM) is pursued through a nonlinear optimization perspective anchored on the transition of solutions from lower fidelity models, namely the Circular Restricted…

Optimization and Control · Mathematics 2026-03-27 António Nunes , Sérgio Brás , Pedro Batista , João Xavier

A convex formulation is proposed for optimal energy management in aircraft with hybrid propulsion systems consisting of gas turbine and electric motor components. By combining a point-mass aircraft dynamical model with models of electrical…

Optimization and Control · Mathematics 2020-05-06 Martin Doff-Sotta , Mark Cannon , Marko Bacic

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 2024-12-30 Tobias Breiten , Shubhaditya Burela , Philipp Schulze

Comet-type periodic orbits of the circular restricted three-body problem (CR3BP) are periodic solutions that are generated from very large retrograde and direct circular Keplerian motions around the common center of mass of the primaries.…

Symplectic Geometry · Mathematics 2026-04-30 Cengiz Aydin

This work is concerned with the time optimal control problem for evolution equations in Hilbert spaces. The attention is focused on the maximum principle for the time optimal controllers having the dimension smaller that of the state…

Analysis of PDEs · Mathematics 2020-04-22 Gabriela Marinoschi

Current space exploration programs call for the establishment of a permanent Human presence on the Moon. This paper considers periodic orbits of a shuttle between the Earth and the Moon. Such a shuttle will be needed to bring supplies to…

Earth and Planetary Astrophysics · Physics 2023-08-03 T. Carter , M. Humi

The rapid expansion of mega-constellations in low Earth orbits has posed significant challenges to space traffic management, necessitating periodic inspections of satellites to ensure the sustainability of the space environment when…

Systems and Control · Electrical Eng. & Systems 2025-07-08 An-Yi Huang , Hong-Xin Shen , Zhao Li , Cong Sun , Chao Sheng , Zheng-Zhong Kuai

Optimal control of a mobile robot system is formulated. Multiobjective criteria of time and energy is employed. The optimal control problem is formulated as a nonlinear programming problem (NLP). The problem is solved using the direct…

Optimization and Control · Mathematics 2013-12-30 Mohamad Shahab , Amar Khoukhi , Fouad Al-Sunni

This paper develops an efficient algorithm for the multi-period optimal dispatch of deterministic inverter-interfaced energy storage in an unbalanced distribution feeder with significant solar PV penetration. The three-phase, non-convex…

Optimization and Control · Mathematics 2020-04-03 Nawaf Nazir , Pavan Racherla , Mads Almassalkhi

This paper presents a trajectory optimization and control approach for the guidance of an orbital four-arm robot in extravehicular activities. The robot operates near the target spacecraft, enabling its arm's end-effectors to reach the…

This paper presents a comparative study of the applicability and accuracy of optimal control methods and neural network-based estimators in the context of porkchop plots for preliminary asteroid rendezvous mission design. The scenario…

Optimization and Control · Mathematics 2026-02-19 Zhong Zhang , Niccolò Michelotti , Gonçalo Oliveira Pinho , Yilin Zou , Francesco Topputo

Multicopters are becoming increasingly important in both civil and military fields. Currently, most multicopter propulsion systems are designed by experience and trial-and-error experiments, which are costly and ineffective. This paper…

Systems and Control · Computer Science 2019-04-09 Xunhua Dai , Quan Quan , Jinrui Ren , Kai-Yuan Cai

We present a method to control transport in Hamiltonian systems. We provide an algorithm - based on a perturbation of the original Hamiltonian localized in phase space - to design small control terms that are able to create isolated…

Chaotic Dynamics · Physics 2007-05-23 Guido Ciraolo , Cristel Chandre , Ricardo Lima , Michel Vittot , Marco Pettini , Philippe Ghendrih
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