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This work presents a robust Model Predictive Controller (MPC) to solve the problem of spacecraft rendezvous in the context of the restricted three-body problem (R3BP) as will be required to dock with space stations in cislunar space. The…

系统与控制 · 电气工程与系统科学 2025-01-22 Julio C. Sanchez , Francisco Gavilan , Rafael Vazquez

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

Consider the spatial restricted three-body problem, as a model for the motion of a spacecraft relative to the Sun-Earth system. We focus on the dynamics near the equilibrium point $L_1$, located between the Sun and the Earth. We show that…

动力系统 · 数学 2025-09-25 Amadeu Delshams , Marian Gidea , Pablo Roldan

The performance optimization for a combined ascent-entry mission subject to constraints on heating rate and heating load is studied. The ascent vehicle is modeled as a three-stage rocket that places the vehicle onto a suborbital…

最优化与控制 · 数学 2021-04-27 Alexander T. Miller , Anil V. Rao

This paper investigates the motion of a small particle moving near the triangular points of the Earth-Moon system. The dynamics are modeled in the Hill restricted 4-body problem (HR4BP), which includes the effect of the Earth and Moon as in…

动力系统 · 数学 2024-02-29 Luke T. Peterson , Gavin Brown , Àngel Jorba , Daniel Scheeres

Efficient performance of a number of engineering systems is achieved through different modes of operation - yielding systems described as "hybrid", containing both real-valued and discrete decision variables. Prominent examples of such…

最优化与控制 · 数学 2019-10-22 Ehsan Taheri , John L. Junkins , Ilya Kolmanovsky , Anouck Girard

This paper presents a novel quadratic programming (QP) approach for constrained control allocation that directly incorporates continuous-time actuator rate constraints without requiring slack variables. Over-actuated aircraft…

最优化与控制 · 数学 2025-07-24 Süleyman Özkurt , Adrian Grimm , Walter Fichter

In this work, we investigate how and to which extent a quantum system can be driven along a prescribed path in Hilbert space by a suitably shaped laser pulse. To calculate the optimal, i.e., the variationally best pulse, a properly defined…

量子物理 · 物理学 2007-05-23 I. Serban , J. Werschnik , E. K. U. Gross

Real-world three-phase microgrids face two interconnected challenges: 1. time-varying uncertainty from renewable generation and demand, and 2. persistent phase imbalances caused by uneven distributed energy resources DERs, load asymmetries,…

系统与控制 · 电气工程与系统科学 2025-03-20 Pablo Cortés , Alejandra Tabares , Fredy Franco

Collisions are common in many dynamical systems with real applications. They can be formulated as hybrid dynamical systems with discontinuities automatically triggered when states transverse certain manifolds. We present an algorithm for…

最优化与控制 · 数学 2025-01-20 Wei Hu , Jihao Long , Yaohua Zang , Weinan E , Jiequn Han

Motivated by the current search for exomoons, this paper considers the stability of tidal equilibrium for hierarchical three-body systems containing a star, a planet, and a moon. In this treatment, the energy and angular momentum budgets…

地球与行星天体物理 · 物理学 2016-08-31 Fred C. Adams , Anthony M. Bloch

This work presents an efficient method to solve a class of continuous-time, continuous-space stochastic optimal control problems of robot motion in a cluttered environment. The method builds upon a path integral representation of the…

系统与控制 · 计算机科学 2016-03-10 Jung-Su Ha , Han-Lim Choi

An optimal control based methodology is proposed for minimising the combustible fuel consumption of a hybrid vehicle equipped with an internal combustion engine, a high-speed flywheel and a battery. The three-dimensionality of the road is…

最优化与控制 · 数学 2017-08-08 Mehdi Imani Masouleh , David J. N. Limebeer

An efficient and accurate computational approach is proposed for optimal attitude control of a rigid body. The problem is formulated directly as a discrete time optimization problem using a Lie group variational integrator. Discrete…

最优化与控制 · 数学 2007-05-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

We consider the minimum-energy control of a car, which is modelled as a point mass sliding on the ground in a fixed direction, and so it can be mathematically described as the double integrator. The control variable, representing the…

最优化与控制 · 数学 2018-04-12 Heinz H. Bauschke , Regina S. Burachik , C. Yalçın Kaya

This work addresses the optimal control of multibody systems being actuated with control forces in order to find a dynamically feasible minimum-energy trajectory of the system. The optimal control problem and its constraints are integrated…

计算工程、金融与科学 · 计算机科学 2016-04-25 Carlos Leandro , Jorge Ambrósio

This paper presents a combined sliding-mode control and subspace stabilization methodology for orbital stabilization of periodic trajectories in underactuated mechanical systems with one degree of underactuation. The approach starts with…

机器人学 · 计算机科学 2025-12-05 Maksim Surov , Leonid Freidovich

This paper addresses an optimal control problem for a robot that has to find and collect a finite number of objects and move them to a depot in minimum time. The robot has fourth-order dynamics that change instantaneously at any pick-up or…

系统与控制 · 计算机科学 2021-01-27 Vladislav Nenchev , Christos G. Cassandras , Jörg Raisch

The prevailing assumption holds that on-orbit servicing (OOS) of mega-constellations is infeasible due to prohibitive fuel consumption incurred by multiple rendezvous maneuvers across vast and dispersed satellite populations. To address…

经典物理 · 物理学 2026-05-13 Li Zhengrui , Feng Guanhua , Wu Xiaokun , Li Wenhao , Yue Yuxian

We derive a simple analytical expression for the two-body force in a sub-class of MOND-like theories and make testable predictions in the modification to the two-body orbital period, shape, and precession rate, and escape speed etc. We…

星系天体物理 · 物理学 2010-11-11 Hongsheng Zhao , Baojiu Li , Olivier Bienaymé