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This article solves an optimal control problem arising in attitude control of a spacecraft under state and control constraints. We first derive the discrete-time attitude dynamics by employing discrete mechanics. The orientation transfer,…

Systems and Control · Computer Science 2017-11-27 Karmvir Singh Phogat , Debasish Chatterjee , Ravi Banavar

This paper investigates the infinite horizon optimal control problem (OCP) for space applications characterized by nonlinear dynamics. The proposed approach divides the problem into a finite horizon OCP with a regularized terminal cost,…

Optimization and Control · Mathematics 2025-10-13 Abhijeet , Mohamed Naveed Gul Mohamed , Aayushman Sharma , Suman Chakravorty

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…

Optimization and Control · Mathematics 2007-05-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch

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…

Optimization and Control · Mathematics 2008-10-09 S. Ober-Bloebaum , O. Junge , J. E. Marsden

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 focuses on the problem of spacecraft attitude control in the presence of time-varying parameter uncertainties and multiple constraints, accounting for angular velocity limitation, performance requirements, and input saturation.…

Systems and Control · Electrical Eng. & Systems 2023-06-01 Jiakun Lei , Tao Meng , Yang Zhu , Kun Wang , Weijia Wang

The paper develops a Model Predictive Controller for constrained control of spacecraft attitude with reaction wheel actuators. The controller exploits a special formulation of the cost with the reference governor like term, a low complexity…

Optimization and Control · Mathematics 2015-01-20 Alberto Guiggiani , Ilya Kolmanovsky , Panagiotis Patrinos , Alberto Bemporad

A model predictive control (MPC) framework is developed for station-keeping in spacecraft formation flight along libration point orbits. At each control period, the MPC policy solves a multi-vehicle optimal control problem (MVOCP) that…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Yuri Shimane , Purnanand Elango , Avishai Weiss

This paper presents a trajectory optimization and control approach for the guidance of an orbital four-arm robot in extravehicular activities. The robot operates near the target spacecraft, enabling its arm's end-effectors to reach the…

Recently, deep space exploration, especially focusing on halo orbits, the periodic orbits of the Moon, has been widely studied. The spacecraft in halo orbits performs periodic orbital motion, which affects the attitude motion by periodic…

Earth and Planetary Astrophysics · Physics 2025-05-02 Yuta Hayashi , Mai Bando , Shinji Hokamoto

In this paper, we consider the problem of minimum-time optimal control for a dynamical system with initial state uncertainties and propose a sequential convex programming (SCP) solution framework. We seek to minimize the expected terminal…

Optimization and Control · Mathematics 2024-09-17 Kazuya Echigo , Abhishek Cauligi , Behçet Açıkmeşe

The general objective of this Ph.D. thesis is to study the dynamics and control of rigid and flexible spacecraft supported by a high-fidelity numerical simulation environment. The demand for greater attitude pointing precision, attitude…

Systems and Control · Electrical Eng. & Systems 2020-12-07 Siamak Tafazoli

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…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Valentin Preda , Andrew Hyslop , Samir Bennani

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…

Optimization and Control · Mathematics 2026-03-17 Ethan Foss , Simone D'Amico

Cooperative and Adaptive Cruise Control (CACC) is widely focused to enhance driving fuel-efficiency by maintaining a close following gap. The ecology of CACC could be further enhanced by adapting to the rolling terrain. However, current…

Robotics · Computer Science 2024-10-31 Mingyue Lei , Haoran Wang , Lu Xiong , Jaehyun , So , Ashish Dhamaniya , Jia Hu

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…

Optimization and Control · Mathematics 2022-11-07 Thomas L. Dearing , John Hauser , Christopher Petersen , Marco M. Nicotra , Xudong Chen

Designing spacecraft trajectories remains challenging in the presence of stochastic effects such as maneuver execution errors and observation uncertainties. Although covariance control and belief-space planning provide useful tools for…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Masahiro Fujiwara , Naoya Ozaki

A control optimization approach is presented for a chaser spacecraft tasked with maintaining proximity to a target space object while avoiding collisions. The target object trajectory is provided numerically to account for both passive…

Optimization and Control · Mathematics 2025-07-01 Saif R. Kazi , Harsha Nagarajan , Hassan Hijazi , Przemek Wozniak

A robust drift-safe rendezvous trajectory optimization tool is developed in this work, with applications to orbital rendezvous and proximity operations. The method is based on direct collocation and utilizes a sequential convex programming…

Systems and Control · Electrical Eng. & Systems 2024-01-23 Andrew W. Berning , Ethan R. Burnett , Stefan Bieniawski

Reliable satellite attitude control is essential for the success of space missions, particularly as satellites increasingly operate autonomously in dynamic and uncertain environments. Reaction wheels (RWs) play a pivotal role in attitude…

Robotics · Computer Science 2025-07-14 Ghaith El-Dalahmeh , Mohammad Reza Jabbarpour , Bao Quoc Vo , Ryszard Kowalczyk
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