Minimal parameter solution of the quaternion differential equation

Ruihua Liu

doi:10.1117/12.658258

4 January 2006 Minimal parameter solution of the quaternion differential equation

Ruihua Liu

Proceedings Volume 5985, International Conference on Space Information Technology; 598544 (2006) https://doi.org/10.1117/12.658258
Event: International Conference on Space information Technology, 2005, Wuhan, China

Abstract

The efficiently calculate of the attitude matrix is an important subject in the Strap-down Inertial Navigation System (SINS), because the precision of its solution directly effects on the system performance. A new method of 3^rd order minimal parameter solution for the orthogonal matrix differential equation is used to solve the quaternion differential equation of SINS in this paper, and the numerical simulation is done as well. From the simulation result, we can see that when the new algorithm is used, the precision of the solved attitude angles is two orders higher than the classical method, and the floating-point operations is only abort half of the old one.

Citation Download Citation

Ruihua Liu "Minimal parameter solution of the quaternion differential equation", Proc. SPIE 5985, International Conference on Space Information Technology, 598544 (4 January 2006); https://doi.org/10.1117/12.658258

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available