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The paper deals with the design of an improved model predictive control scheme for achieving station-keeping in a quasi Halo orbit around the $L_2$ point in the Earth-Moon system. The improvement is obtained thanks to a multi-rate…

Systems and Control · Electrical Eng. & Systems 2022-02-23 Mohamed Elobaid , Mattia Mattioni , Salvatore Monaco , Dorothée Normand-Cyrot

This paper presents a provably optimal, real-time capable energy management policy for race cars that provides simple human-driver-implementable control cues. Specifically, we first formulate the energy-constrained minimum-lap-time control…

Optimization and Control · Mathematics 2026-03-04 Erik van den Eshof , Wytze de Vries , Mauro Salazar

This letter shows that optimizing the transmit powers along with optimally designed nonorthogonal pilots can significantly reduce pilot contamination and improve the overall throughput of the uplink multi-cell massive multiple-input…

Information Theory · Computer Science 2019-12-24 Xihan Chen , Kaiming Shen , Hei Victor Cheng , An Liu , Wei Yu , Min-Jian Zhao

Orbital maneuver planning is a critical aspect of mission design, aimed at minimizing propellant consumption, which is directly correlated with the total velocity change ($\Delta V$). While analytical solutions like the Hohmann and…

Earth and Planetary Astrophysics · Physics 2025-08-06 Phuc Hao Do , Tran Duc Le

With an increasing interest in the design of long and complex space missions, the search for orbits that require the least amount of fuel is of fundamental interest. This paper develops existing computational models for locating Unstable…

Dynamical Systems · Mathematics 2026-01-21 Vinay Sharma , Sergei I Chernyshenko

This paper considers the problem of real-time mode scheduling in linear time-varying switched systems subject to a quadratic cost functional. The execution time of hybrid control algorithms is often prohibitive for real-time applications…

Optimization and Control · Mathematics 2017-09-04 Anastasia Mavrommati , Jarvis A. Schultz , Todd D. Murphey

We formulate and solve a class of finite-time transport and mixing problems in the set-oriented framework. The aim is to obtain optimal discrete-time perturbations in nonlinear dynamical systems to transport a specified initial measure on…

Dynamical Systems · Mathematics 2017-11-22 Piyush Grover , Karthik Elamvazhuthi

This work aims to automate the design of Multiple Gravity-Assist (MGA) transfers between planets using low-thrust propulsion. In particular, during the preliminary design phase of space missions, the combinatorial complexity of MGA…

Optimization and Control · Mathematics 2025-10-17 Sean Cowan , Ron Noomen

We derive optimal periodic controls for entrainment of a self-driven oscillator to a desired frequency. The alternative objectives of minimizing power and maximizing frequency range of entrainment are considered. A state space…

Chaotic Dynamics · Physics 2011-09-27 Anatoly Zlotnik , Jr-Shin Li

Low-energy transfers are advantageous for lunar exploration missions due to low fuel consumption and extended launch periods. This paper is devoted to the classification of interior transit orbits and their application on low-energy…

Earth and Planetary Astrophysics · Physics 2025-04-01 Shuyue Fu , Di Wu , Shengping Gong

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

This paper presents a novel approach for the preliminary design of Low-Thrust, many-revolution transfers. The main feature of the novel approach is a considerable reduction in the control parameters and a consequent gain in computational…

Optimization and Control · Mathematics 2012-07-17 Federico Zuiani , Massimiliano Vasile

Designing spacecraft trajectories remains challenging in the presence of stochastic effects such as maneuver execution errors and observation uncertainties. Although covariance control and belief-space planning provide useful tools for…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Masahiro Fujiwara , Naoya Ozaki

We treat the circular and elliptic restricted three-body problems in inertial frames as periodically forced Kepler problems with additional singularities and explain that in this setting the main result of [4] is applicable. This guarantees…

Dynamical Systems · Mathematics 2021-02-24 Rafael Ortega , Lei Zhao

There exist cislunar and trans-lunar libration points near the Moon, which are referred as the LL1 and LL2 points respectively and can generate the different types of low-energy trajectories transferring from Earth to Moon. The…

Earth and Planetary Astrophysics · Physics 2014-02-13 Ming Xu , Yan Wei , Shijie Xu

This article proposes a modular optimal control framework for local three-dimensional ellipsoidal obstacle avoidance, exemplarily applied to model predictive path-following control. Static as well as moving obstacles are considered. Central…

Systems and Control · Electrical Eng. & Systems 2025-10-31 David Leprich , Mario Rosenfelder , Markus Herrmann-Wicklmayr , Kathrin Flaßkamp , Peter Eberhard , Henrik Ebel

This article presents a method to automatically generate energy-optimal trajectories for systems with linear dynamics, linear constraints, and a quadratic cost functional (LQ systems). First, using recent advancements in optimal control, we…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Logan E. Beaver

The modeling and simulation of heat source trajectories through phase-change materials is a relevant problem both for space exploration and for terrestrial climate research, among other fields. In space, the DLR and NASA are both interested…

Computational Engineering, Finance, and Science · Computer Science 2019-09-20 Alexander Gary Zimmerman

In this contribution we propose reduced order methods to fast and reliably solve parametrized optimal control problems governed by time dependent nonlinear partial differential equations. Our goal is to provide a tool to deal with the time…

Numerical Analysis · Mathematics 2023-08-08 Francesco Ballarin , Gianluigi Rozza , Maria Strazzullo

The body of work presented here revolves around the investigation of the existence and nature of extra-solar planetary systems. The fitting of stellar radial velocity time series data is attempted by constructing a model to quantify the…

Astrophysics · Physics 2017-02-13 Gur Windmiller , Don Short , Jerome Orosz