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This paper aims to provide a new problem formulation of path following for mechanical systems without time parameterization nor guidance laws, namely, we express the control objective as an orbital stabilization problem. It is shown that,…

Systems and Control · Electrical Eng. & Systems 2020-01-29 Bowen Yi , Romeo Ortega , Ian R. Manchester , Houria Siguerdidjane

This paper proposes a new indirect solution method for solving state-constrained optimal control problems by revisiting the well-established optimal control theory and addressing the long-standing issue of discontinuous control and costate…

Optimization and Control · Mathematics 2024-03-08 Kenshiro Oguri

Space mission design places a premium on cost and operational efficiency. The search for new science and life beyond Earth calls for spacecraft that can deliver scientific payloads to geologically rich yet hazardous landing sites. At the…

Optimization and Control · Mathematics 2021-08-25 Danylo Malyuta , Yue Yu , Purnanand Elango , Behcet Acikmese

Urban Air Mobility (UAM) has emerged as a transformative solution to alleviate urban congestion by utilizing low-altitude airspace, thereby reducing pressure on ground transportation networks. To enable truly efficient and seamless…

Machine Learning · Computer Science 2026-01-30 Aoyu Pang , Maonan Wang , Zifan Sha , Wenwei Yue , Changle Li , Chung Shue Chen , Man-On Pun

This paper is based on a crucial issue in the aviation world: how to optimize the trajectory and controls given to the aircraft in order to optimize flight time and fuel consumption. This study aims to provide elements of a response to this…

Optimization and Control · Mathematics 2024-08-15 Gaofeng Su , Xi Cheng , Siyuan Feng , Ke Liu , Jilin Song , Jianan Chen , Chen Zhu , Hui Lin

Trajectory optimization depends heavily on initialization. In particular, sampling-based approaches are highly sensitive to initial solutions, and limited exploration frequently leads them to converge to local minima in complex…

Robotics · Computer Science 2026-04-15 O. Goktug Poyrazoglu , Yukang Cao , Rahul Moorthy , Volkan Isler

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

In this paper we present a new approach to solve the fuel-efficient powered descent guidance problem on large planetary bodies with no atmosphere (e.g. the Moon or Mars) using the recently developed Theory of Functional Connections. The…

Optimization and Control · Mathematics 2020-10-06 Hunter Johnston , Enrico Schiassi , Roberto Furfaro , Daniele Mortari

This paper details a methodology to transcribe an optimal control problem into a nonlinear program for generation of the trajectories that optimize a given functional by approximating only the highest order derivatives of a given system's…

Optimization and Control · Mathematics 2025-09-09 Thomas L. Ahrens , Ian M. Down , Manoranjan Majji

Optimization of low-thrust trajectories that involve a larger number of orbit revolutions is considered a challenging problem. This paper describes a high-precision symplectic method and optimization techniques to solve the minimum-energy…

Space Physics · Physics 2019-09-19 Zhibo E , Davide Guzzetti

In this paper, we tackle the problem of Unmanned Aerial (UA V) path planning in complex and uncertain environments by designing a Model Predictive Control (MPC), based on a Long-Short-Term Memory (LSTM) network integrated into the Deep…

Machine Learning · Computer Science 2023-03-08 Mahya Ramezani , Hamed Habibi , Jose luis Sanchez Lopez , Holger Voos

Unbalanced optimal transport (UOT) provides a flexible way to match or compare nonnegative finite Radon measures. However, UOT requires a predefined ground transport cost, which may misrepresent the data's underlying geometry. Choosing such…

Machine Learning · Statistics 2026-01-09 Emanuele Pardini , Katerina Papagiannouli

The field of autonomous navigation for unmanned ground vehicles (UGVs) is in continuous growth and increasing levels of autonomy have been reached in the last few years. However, the task becomes more challenging when the focus is on the…

Robotics · Computer Science 2024-10-24 Achille Chiuchiarelli , Giacomo Franchini , Francesco Messina , Marcello Chiaberge

An efficient method for computing solutions to the Optimal Transportation (OT) problem with a wide class of cost functions is presented. The standard linear programming (LP) discretization of the continuous problem becomes intractible for…

Numerical Analysis · Mathematics 2015-09-15 Adam M. Oberman , Yuanlong Ruan

In this work, we solve a discrete optimal transport problem in a nonuniform environment. To solve the optimal transport problem, we build the cost matrix and then use classical solvers for discrete optimal transport. The challenge is to…

Optimization and Control · Mathematics 2026-03-17 Luca Dieci , Daniyar Omarov

In this work, we develop a numerically tractable trajectory optimization problem for rest-to-rest attitude transfers with CMG-driven spacecraft. First, we adapt a specialized dynamical model which avoids many of the numerical challenges…

Optimization and Control · Mathematics 2022-11-07 Thomas L. Dearing , John Hauser , Christopher Petersen , Marco M. Nicotra , Xudong Chen

In this paper, we propose a strategy to solve endo-atmospheric launch vehicle optimal control problems using indirect methods. More specifically, we combine shooting methods with an adequate continuation algorithm, taking advantage of the…

Optimization and Control · Mathematics 2017-03-16 Riccardo Bonalli , Bruno Hérissé , Emmanuel Trélat

Trajectory planning and control have historically been separated into two modules in automated driving stacks. Trajectory planning focuses on higher-level tasks like avoiding obstacles and staying on the road surface, whereas the controller…

Robotics · Computer Science 2022-09-21 Rowan Dempster , Mohammad Al-Sharman , Derek Rayside , William Melek

This letter addresses the problem of trajectory planning in a marsupial robotic system consisting of an unmanned aerial vehicle (UAV) linked to an unmanned ground vehicle (UGV) through a non-taut tether with controllable length. To the best…

Robotics · Computer Science 2023-07-27 S. Martínez-Rozas , D. Alejo , F. Caballero , L. Merino

The ability to engineer high-fidelity gates on quantum processors in the presence of systematic errors remains the primary barrier to achieving quantum advantage. Quantum optimal control methods have proven effective in experimentally…

Quantum Physics · Physics 2021-03-30 Thomas Propson , Brian E. Jackson , Jens Koch , Zachary Manchester , David I. Schuster