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
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;
Conference_Titel :
Telecommunication Systems, Services, and Applications (TSSA), 2011 6th International Conference on
Conference_Location :
Bali
Print_ISBN :
978-1-4577-1441-2
DOI :
10.1109/TSSA.2011.6095455
