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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

A time optimal attitude control problem is studied for the dynamics of a rigid body. The objective is to minimize the time to rotate the rigid body to a desired attitude and angular velocity while subject to constraints on the control…

最优化与控制 · 数学 2007-09-19 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

This work presents a novel algorithm for impulsive optimal control of linear time-varying systems with the inclusion of input magnitude constraints. Impulsive optimal control problems, where the optimal input solution is a sum of delta…

最优化与控制 · 数学 2026-03-17 Ethan Foss , Simone D'Amico

This paper presents a continuous optimization approach to DCOC and its application to spacecraft high-precision attitude control. The approach computes a control input sequence that maximizes the time-before-exit by solving a nonlinear…

最优化与控制 · 数学 2021-12-23 Sunbochen Tang , Nan Li , Robert A. E. Zidek , Ilya Kolmanovsky

Optimal control problems are formulated and efficient computational procedures are proposed for attitude dynamics of a rigid body with symmetry. The rigid body is assumed to act under a gravitational potential and under a structured control…

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

This work is devoted to generating optimal guidance commands in real time for attitude-constrained solar sailcrafts in coplanar circular-to-circular interplanetary transfers. Firstly, a nonlinear optimal control problem is established, and…

最优化与控制 · 数学 2023-11-17 Kun Wang , Fangmin Lu , Zheng Chen , Jun Li

We study the minimum time control problem of the launchers. The optimal trajectories of the problem may contain singular arcs, and thus chattering arcs. The motion of the launcher is described by its attitude kinematics and dynamics and…

最优化与控制 · 数学 2015-09-28 Jiamin Zhu , Emmanuel Trélat , Max Cerf

Euler proved that every rotation of a 3-dimensional body can be realized as a sequence of three rotations around two given axes. If we allow sequences of an arbitrary length, such a decomposition will not be unique. In this paper we solve…

最优化与控制 · 数学 2017-11-15 Yuly Billig

A minimum-time reorientation of an axisymmetric rigid spacecraft controlled by three torques is studied. The orientation of the body is modeled such that the attitude kinematics are representative of a spin-stabilized spacecraft. The…

最优化与控制 · 数学 2022-03-23 Elisha R. Pager , Anil V. Rao

In this paper, we investigate the minimal time problem for the guidance of a rocket, whose motion is described by its attitude kinematics and dynamics but also by its orbit dynamics. Our approach is based on a refined geometric study of the…

最优化与控制 · 数学 2015-07-02 Jiamin Zhu , Emmanuel Trélat , Max Cerf

The optimal control of a mechanical system is of crucial importance in many realms. Typical examples are the determination of a time-minimal path in vehicle dynamics, a minimal energy trajectory in space mission design, or optimal motion…

最优化与控制 · 数学 2008-10-09 S. Ober-Bloebaum , O. Junge , J. E. Marsden

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…

最优化与控制 · 数学 2022-11-07 Thomas L. Dearing , John Hauser , Christopher Petersen , Marco M. Nicotra , Xudong Chen

This paper focuses on the attitude pointing control problem under pointing-forbidden constraints and performance constraints. The spacecraft is expected to align its sensor's boresight to a desired direction, while the terminal control…

系统与控制 · 电气工程与系统科学 2022-09-14 Jiakun Lei , Tao Meng , Weijia Wang , Shujian Sun , Heng Li , Zhonghe Jin

This work develops feasible path trajectories for a coordinated strike with multiple aircraft in a constrained environment. Using direct orthogonal collocation methods, the two-point boundary value optimal control problem is transcribed…

最优化与控制 · 数学 2023-03-31 Michael D. Zollars , David J. Grymin , Isaac E. Weintraub

Spacecraft attitude control using only magnetic torques is a periodic time-varying system as the Earth magnetic field in the spacecraft body frame changes periodically while the spacecraft circles around the Earth. The optimal controller…

最优化与控制 · 数学 2017-01-25 Yaguang Yang

This paper introduces a novel attitude controller for spacecraft subject to actuator saturation and multiple exclusion cone constraints. The proposed solution relies on a two-layer approach where the first layer prestabilizes the system…

系统与控制 · 电气工程与系统科学 2025-10-20 Marco Nicotra , Dominic Liao-McPherson , Laurent Burlion , Ilya Kolmanovsky

In this paper we consider a parabolic optimal control problem with a Dirac type control with moving point source in two space dimensions. We discretize the problem with piecewise constant functions in time and continuous piecewise linear…

数值分析 · 数学 2018-08-17 Dmitriy Leykekhman , Boris Vexler

This paper introduces an algorithm to perform optimal reorientation of a spacecraft during a high speed flyby mission that maximizes the time a certain target is kept within the field of view of scientific instruments. The method directly…

系统与控制 · 电气工程与系统科学 2026-05-19 Valentin Preda , Andrew Hyslop , Samir Bennani

We study discrete-time finite-horizon optimal control problems in probability spaces, whereby the state of the system is a probability measure. We show that, in many instances, the solution of dynamic programming in probability spaces…

最优化与控制 · 数学 2024-04-09 Antonio Terpin , Nicolas Lanzetti , Florian Dörfler

We consider an optimal control problem constrained by a parabolic partial differential equation (PDE) with Robin boundary conditions. We use a well-posed space-time variational formulation in Lebesgue--Bochner spaces with minimal…

数值分析 · 数学 2022-12-06 Nina Beranek , M. Alexander Reinhold , Karsten Urban
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