An Efficient Algorithm for Periodic Riccati Equation for Spacecraft Attitude Control Using Magnetic Torques

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 design therefore involves the solutions of the periodic Riccat...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2016-01
Main Author: Yang, Yaguang
Format: Article
Language:English
Subjects:
Algorithms
Control systems design
Differential equations
Geomagnetic field
Riccati equation
Spacecraft
Spacecraft attitude control
Torque
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 design therefore involves the solutions of the periodic Riccati differential or algebraic equations. This paper proposes an efficient algorithm for the periodic discrete-time Riccati equation arising from a linear periodic time-varying system \((\A,\B)\), which explores and utilizes the fact that \(\A\) is time-invariant and only \(\B\) is time-varying in the system, a special properties associated with the problem of spacecraft attitude control using only magnetic torques.
ISSN:2331-8422
DOI:10.48550/arxiv.1601.01990