DocumentCode
2560412
Title
A rotation vector differential equation in geometric algebra
Author
Wu, Dimin ; Wang, Zhengzhi ; Wang, Qiang
Author_Institution
Insititude of Autom., Nat. Univ. of Defense Technol., Changsha, China
fYear
2011
fDate
20-21 Oct. 2011
Firstpage
299
Lastpage
302
Abstract
The rotation vector differential equation is vital to the attitude algorithm in the modern strapdown inertial navigation system. A substitutive derivation of the rotation vector differential equation in geometric algebra (GA) form is provided by utilizing the kinematic equation of rotors. The GA form of the equation inherits the simplicity and efficiency of the vector form. Moreover, it is universal in any dimension.
Keywords
algebra; attitude control; computational geometry; differential equations; inertial navigation; rotation; rotors; geometric algebra; kinematic rotor equation; modern strapdown inertial navigation system; rotation vector differential equation; vector form; Blades; Differential equations; Equations; Mathematical model; Rotors; Vectors; Computational modeling; Graphical models; Inertial navigation; Rotors; Vector;
fLanguage
English
Publisher
ieee
Conference_Titel
Telecommunication Systems, Services, and Applications (TSSA), 2011 6th International Conference on
Conference_Location
Bali
Print_ISBN
978-1-4577-1441-2
Type
conf
DOI
10.1109/TSSA.2011.6095455
Filename
6095455
Link To Document