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We present an algorithm to perform fuel-optimal stationkeeping for spacecraft in unstable halo orbits with additional constraints to ensure safety in the event of a control failure. We formulate a convex trajectory-optimization problem to…

系统与控制 · 电气工程与系统科学 2024-06-03 Fausto Vega , Zachary Manchester , Martin Lo , Ricardo Restrepo

Multi-revolution low-thrust trajectory optimization problems are important and challenging in space mission design. In this paper, an efficient, accurate, and widely applicable pseudospectral method is proposed to solve multi-revolution…

系统与控制 · 电气工程与系统科学 2025-07-03 Yilin Zou , Fanghua Jiang

The minimization of the Direct Operating Cost (DOC) for hydrogen-powered aircraft is formulated in this paper as an optimal control problem and is solved based on Pontryagin's minimum principle. As a consequence, the optimum cruise flight…

最优化与控制 · 数学 2022-11-21 Maxim Kaptsov , Luis Rodrigues

Velocity Planning for self-driving vehicles in a complex environment is one of the most challenging tasks. It must satisfy the following three requirements: safety with regards to collisions; respect of the maximum velocity limits defined…

机器人学 · 计算机科学 2022-02-22 Yutaka Shimizu , Takamasa Horibe , Fumiya Watanabe , Shinpei Kato

We introduce a new algorithm to solve constrained nonlinear optimal control problem, with an emphasis on low-thrust trajectory in highly nonlinear dynamics. The algorithm, dubbed Pontryagin-Bellman Differential Dynamic Programming (PDDP),…

最优化与控制 · 数学 2026-05-27 Yanis Sidhoum , Kenshiro Oguri

This work shows the existence of optimal control laws for persistent monitoring of mobile targets in a one-dimensional mission space and derives explicit solutions. The underlying performance metric consists of minimizing the total…

最优化与控制 · 数学 2022-10-05 Jonas Hall , Sean B. Andersson , Christos G. Cassandras

This paper solves and analyzes a trajectory optimization problem to deflect Earth-crossing objects (ECOs) employing continuous thrust obtained using a laser ablative system. The optimal control is determined for various initial ECO-Earth…

最优化与控制 · 数学 2025-09-16 Vivek Verma , Shribharath B. , Mangal Kothari

This paper investigates the mission planning problem for spacecraft confronting orbital debris to achieve autonomous avoidance. Firstly, combined with the avoidance requirements, a closed-loop framework of autonomous avoidance for orbital…

机器人学 · 计算机科学 2024-09-20 Chen Xingwen , Wang Tong , Qiu Jianbin , Feng Jianbo

We solve the minimum-thrust optimal trajectory generation problem for the transition of a tiltwing Vertical Take-Off and Landing (VTOL) aircraft using convex optimisation. The method is based on a change of differential operator that allows…

最优化与控制 · 数学 2021-09-30 Martin Doff-Sotta , Mark Cannon , Marko Bacic

This paper presents an integrated approach that combines trajectory optimization and Artificial Potential Field (APF) method for real-time optimal Unmanned Aerial Vehicle (UAV) trajectory planning and dynamic collision avoidance. A…

机器人学 · 计算机科学 2023-03-06 D. M. K. K. Venkateswara Rao , Hamed Habibi , Jose Luis Sanchez-Lopez , Holger Voos

In this paper, we consider the problem of optimizing the trajectory of an Unmanned Aerial Vehicle (UAV) Base Station (BS). We consider a map characterized by a traffic intensity of users to be served. The UAV BS must travel from a given…

最优化与控制 · 数学 2018-12-21 Marceau Coupechoux , Jérôme Darbon , Jean-Marc Kélif , Marc Sigelle

Recent low-thrust space missions have highlighted the importance of designing trajectories that are robust against uncertainties. In its complete form, this process is formulated as a nonlinear constrained stochastic optimal control…

最优化与控制 · 数学 2022-02-25 Naoya Ozaki , Stefano Campagnola , Ryu Funase

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…

最优化与控制 · 数学 2021-08-25 Danylo Malyuta , Yue Yu , Purnanand Elango , Behcet Acikmese

We address the path planning problem for a cellular-enabled unmanned aerial vehicle (UAV) considering both connectivity and battery constraints. The UAV's mission is to expeditiously transport a payload from an initial point to a final…

信号处理 · 电气工程与系统科学 2025-06-19 Hyeon-Seong Im , Kyu-Yeong Kim , Si-Hyeon Lee

Trajectory planning in automated driving typically focuses on satisfying safety and comfort requirements within the vehicle's onboard sensor range. This paper introduces a method that leverages anticipatory road data, such as speed limits,…

系统与控制 · 电气工程与系统科学 2024-06-26 Andres Alvarez Prado , Vladislav Nenchev , Christian Rathgeber

The problem Orienteering asks whether there exists a walk which visits a number of sites without exceeding some fuel budget. In the variant of the problem we consider, the cost of each edge in the walk is dependent on the time we depart one…

离散数学 · 计算机科学 2025-07-02 Timothée Corsini , Jessica Enright , Laura Larios-Jones , Kitty Meeks

The trajectory optimization of the atmospheric entry of a reusable launch vehicle is studied. The objective is to maximize the crossrange of the vehicle subject to two control-inequality path constraints, two state-inequality path…

最优化与控制 · 数学 2024-06-07 Cale A. Byczkowski , Anil V. Rao

A computational approach is developed for the design of continuous low thrust transfers in the planar circular restricted three-body problem. The transfer design method of invariant manifolds is extended with the addition of continuous low…

最优化与控制 · 数学 2015-10-12 Shankar Kulumani , Taeyoung Lee

This paper focuses on optimal control problem for a class of discrete-time nonlinear systems. In practical applications, computation time is a crucial consideration when solving nonlinear optimal control problems, especially under real-time…

最优化与控制 · 数学 2025-04-01 Chuanzhi Lv , Xunmin Yin , Hongdan Li , Huanshui Zhang

This article contributes to a framework for a computational indirect method based on the Pontryagin maximum principle to efficiently solve a class of state constrained time-optimal control problems in the presence of a time-dependent flow…

最优化与控制 · 数学 2022-06-30 Roman Chertovskih , Nathalie T. Khalil , Fernando Lobo Pereira