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This paper shows how to find lower bounds on, and sometimes solve globally, a large class of nonlinear optimal control problems with impulsive controls using semi-definite programming (SDP). This is done by relaxing an optimal control…

最优化与控制 · 数学 2011-10-18 Mathieu Claeys , Denis Arzelier , Didier Henrion , Jean-Bernard Lasserre

The problem of minimizing the transfer time between periodic orbits in the Earth-Moon elliptic restricted three-body problem using a multi-mode propulsion system is considered. By employing the true anomaly on the primary orbit as the…

最优化与控制 · 数学 2025-09-10 George V. Haman , Anil V. Rao

This paper introduces a landing guidance strategy for reusable launch vehicles (RLVs) using a model predictive approach based on sequential convex programming (SCP). The proposed approach devises two distinct optimal control problems…

系统与控制 · 电气工程与系统科学 2025-08-14 Ki-Wook Jung , Sang-Don Lee , Cheol-Goo Jung , Chang-Hun Lee

In this paper we present a fast method based on successive convexification for generating fuel-optimized spacecraft rendezvous trajectories in the presence of mixed-integer constraints. A recently developed paradigm of state-triggered…

最优化与控制 · 数学 2019-06-13 Danylo Malyuta , Taylor P. Reynolds , Michael Szmuk , Behcet Acikmese , Mehran Mesbahi

We propose an optimal control method for simultaneous slewing and vibration control of flexible spacecraft. Considering dynamics on different time scales, the optimal control problem is discretized on micro and macro time grids using a…

最优化与控制 · 数学 2020-11-02 Yana Lishkova , Sina Ober-Blöbaum , Mark Cannon , Sigrid Leyendecker

Uncertain dynamic obstacles, such as pedestrians or vehicles, pose a major challenge for optimal robot navigation with safety guarantees. Previous work on motion planning has followed two main strategies to provide a safe bound on an…

This paper addresses the challenge of accommodating nonlinear dynamics and constraints in rapid trajectory optimization, envisioned for use in the context of onboard guidance. We present a novel framework that uniquely employs…

最优化与控制 · 数学 2024-10-15 Ethan R. Burnett , Francesco Topputo

This paper considers the relaxed version of the transport problem for general nonlinear control systems, where the objective is to design time-varying feedback laws that transport a given initial probability measure to a target probability…

系统与控制 · 计算机科学 2018-07-27 Karthik Elamvazhuthi , Piyush Grover , Spring Berman

Nonlinear optimal control problems for trajectory planning with obstacle avoidance present several challenges. While general-purpose optimizers and dynamic programming methods struggle when adopted separately, their combination enabled by a…

最优化与控制 · 数学 2024-08-09 Rebecca Richter , Alberto De Marchi , Matthias Gerdts

We study the navigation problem for a robot moving amidst static and dynamic obstacles and rely on a hierarchical approach to solve it. First, the reference trajectory is planned by the safe interval path planning algorithm that is capable…

机器人学 · 计算机科学 2019-06-18 Konstantin Yakovlev , Anton Andreychuk , Juliya Belinskaya , Dmitry Makarov

In this work, we aim to compare different methods and formulations to solve a problem in air traffic management to global optimality. In particular, we focus on the aircraft deconfliction problem, where we are given n aircraft, their…

最优化与控制 · 数学 2025-01-14 Renan Spencer Trindade , Claudia D'Ambrosio

We address the persistent monitoring problem in two-dimensional mission spaces where the objective is to control the trajectories of multiple cooperating agents to minimize an uncertainty metric. In a one-dimensional mission space, we have…

最优化与控制 · 数学 2014-04-21 Xuchao Lin , Christos G. Cassandras

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…

最优化与控制 · 数学 2024-08-15 Gaofeng Su , Xi Cheng , Siyuan Feng , Ke Liu , Jilin Song , Jianan Chen , Chen Zhu , Hui Lin

This paper presents a computationally efficient optimization algorithm for solving nonconvex optimal control problems that involve discrete logic constraints. Traditional solution methods for these constraints require binary variables and…

最优化与控制 · 数学 2021-07-16 Danylo Malyuta , Behcet Acikmese

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

This paper presents a novel method for reformulating non-differentiable collision avoidance constraints into smooth nonlinear constraints using strong duality of convex optimization. We focus on a controlled object whose goal is to avoid…

最优化与控制 · 数学 2018-06-12 Xiaojing Zhang , Alexander Liniger , Francesco Borrelli

In this paper, we consider the classical spacecraft rendezvous problem in which the so-called active spacecraft has to approach the target spacecraft which is moving in an elliptical orbit around a planet by using the minimum possible…

系统与控制 · 电气工程与系统科学 2021-09-21 Vrushabh Zinage , Efstathios Bakolas

Spacecraft equipped with multiple propulsion modes or systems can offer enhanced performance and mission flexibility compared with traditional configurations. Despite these benefits, the trajectory optimization of spacecraft utilizing such…

天体物理仪器与方法 · 物理学 2025-12-03 Jack Yarndley

A model predictive control scheme to stabilize desired configurations of collinear Coulomb spacecraft formations is derived in this paper. The nonlinearities of the dynamics with respect to the input make this problem difficult to solve,…

系统与控制 · 电气工程与系统科学 2024-11-06 Adam M Tahir

This research addresses the increasing demand for advanced navigation systems capable of operating within confined surroundings. A significant challenge in this field is developing an efficient planning framework that can generalize across…

机器人学 · 计算机科学 2024-07-09 Jiayu Fan , Nikolce Murgovski , Jun Liang