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Related papers: Multi-objective low-thrust spacecraft trajectory d…

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We consider the problem of constrained multi-objective blackbox optimization using expensive function evaluations, where the goal is to approximate the true Pareto set of solutions satisfying a set of constraints while minimizing the number…

Machine Learning · Computer Science 2020-11-24 Syrine Belakaria , Aryan Deshwal , Janardhan Rao Doppa

Spacecraft must operate under environmental and actuator uncertainties while meeting strict safety requirements. Traditional approaches rely on scenario-based heuristics that fail to account for stochastic influences, leading to suboptimal…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Quentin Rommel , Michael Hibbard , Pavan Shukla , Himanshu Save , Srinivas Bettadpur , Ufuk Topcu

In this paper we develop a numerical method to solve nonlinear optimal control problems with final-state constraints. Specifically, we extend the PRojection Operator based Netwon's method for Trajectory Optimization (PRONTO), which was…

Systems and Control · Computer Science 2017-03-27 Ivano Notarnicola , Florian A. Bayer , Giuseppe Notarstefano , Frank Allgower

Global search and optimization of long-duration, low-thrust spacecraft trajectories with the indirect method is challenging due to a complex solution space and the difficulty of generating good initial guesses for the costate variables.…

Earth and Planetary Astrophysics · Physics 2025-10-06 Jannik Graebner , Ryne Beeson

This paper studies the integrated spacecraft routing and trajectory optimization problem for satellite servicing missions involving partial en-route propellant replenishment. Unlike terrestrial routing problems, spacecraft operate in a…

Optimization and Control · Mathematics 2026-04-22 Euihyeon Choi , Koki Ho

Homotopy methods have been widely utilized to solve low-thrust orbital transfer problems, however, it is not guaranteed that the optimal solution can be obtained by the existing homotopy methods. In this paper, a new homotopy method is…

Instrumentation and Methods for Astrophysics · Physics 2018-09-05 Binfeng Pan , Xun Pan , Siqi Zhang

Intercepting dynamic objects in uncertain environments involves a significant unresolved challenge in modern robotic systems. Current control approaches rely solely on estimated information, and results lack guarantees of robustness and…

Robotics · Computer Science 2025-12-16 Tommaso Faraci , Roberto Lampariello

Motivated by the applications, a class of optimal control problems is investigated, where the goal is to influence the behavior of a given population through another controlled one interacting with the first. Diffusive terms accounting for…

Optimization and Control · Mathematics 2023-03-10 Stefano Almi , Marco Morandotti , Francesco Solombrino

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

This paper is about reachability analysis in a restricted subclass of multi-pushdown automata. We assume that the control states of an automaton are partially ordered, and all transitions of an automaton go downwards with respect to the…

Logic in Computer Science · Computer Science 2015-07-01 Wojciech Czerwiński , Piotr Hofman , SŁawomir Lasota

We propose a method to generate robust and optimal trajectories for the transition of a tiltwing Vertical Take-Off and Landing (VTOL) aircraft leveraging concepts from convex optimisation, tube-based nonlinear Model Predictive Control (MPC)…

Optimization and Control · Mathematics 2023-02-10 Martin Doff-Sotta , Mark Cannon , Marko Bacic

We consider the problem of generating a time-optimal quadrotor trajectory that attains a set of prescribed waypoints. This problem is challenging since the optimal trajectory is located on the boundary of the set of dynamically feasible…

Robotics · Computer Science 2020-06-05 Gilhyun Ryou , Ezra Tal , Sertac Karaman

This paper presents a strategy for optimal manoeuvre design of multi-satellite formation flying in low Earth orbit environment, with the aim of providing a tool for mission operation design. The proposed methodology for formation flying…

Instrumentation and Methods for Astrophysics · Physics 2022-02-09 Francesca Scala , Gabriella Gaias , Camilla Colombo , Manuel Martìn-Neira

This article presents a constrained policy optimization approach for the optimal control of systems under nonstationary uncertainties. We introduce an assumption that we call Markov embeddability that allows us to cast the stochastic…

Optimization and Control · Mathematics 2026-05-11 Sungho Shin , François Pacaud , Emil Contantinescu , Mihai Anitescu

Symbolic optimal control is a powerful method to synthesize algorithmically correct-by-design state-feedback controllers for nonlinear plants. Its solutions are (near-)optimal with respect to a given cost function. In this note, it is…

Optimization and Control · Mathematics 2022-05-30 Alexander Weber , Florian Fiege , Alexander Knoll

We introduce a new and efficient numerical method for multicriterion optimal control and single criterion optimal control under integral constraints. The approach is based on extending the state space to include information on a "budget"…

Optimization and Control · Mathematics 2016-01-06 Ajeet Kumar , Alexander Vladimirsky

Ideally, robots should move in ways that maximize the knowledge gained about the state of both their internal system and the external operating environment. Trajectory design is a challenging problem that has been investigated from a…

Robotics · Computer Science 2022-01-07 Christopher Grebe , Emmett Wise , Jonathan Kelly

Agile attitude maneuvering maximizes the utility of remote sensing satellite constellations. By taking into account a satellite's physical properties and its actuator specifications, we may leverage the full performance potential of the…

Systems and Control · Electrical Eng. & Systems 2021-02-17 Emmanuel Sin , Sreeja Nag , Vinay Ravindra , Alan Li , Murat Arcak

In this paper a direct method based on a transcription by finite elements in time has been used to design optimal interplanetary trajectories, exploiting a combination of gravity assist maneuvers and low-thrust propulsion. A multiphase…

Optimization and Control · Mathematics 2011-05-11 Massimiliano Vasile , Franco Bernelli-Zazzera

Optimal Transport (OT) problems arise in a wide range of applications, from physics to economics. Getting numerical approximate solution of these problems is a challenging issue of practical importance. In this work, we investigate the…

Probability · Mathematics 2019-05-15 Aurélien Alfonsi , Rafaël Coyaud , Virginie Ehrlacher , Damiano Lombardi