Title :
Sensor alignment using rotors in Geometric Algebra
Author :
Stanway, M. Jordan ; Kinsey, James C.
Author_Institution :
Appl. Ocean Phys. & Eng., Woods Hole Oceanogr. Instn., Woods Hole, MA, USA
Abstract :
This paper uses rotors in Geometric Algebra to formulate a stable adaptive identifier on the group of rigid body rotations. This identifier is intended to estimate the alignment offsets between independent sensors. The approach provides a straightforward geometric interpretation based on first-order rotor kinematics. Lyapunov theory is used to prove the stability of the identifier, and numerical simulations illustrate its behavior with and without measurement noise.
Keywords :
Lyapunov methods; adaptive estimation; algebra; numerical analysis; parameter estimation; rotors; sensors; Lyapunov theory; alignment offset estimation; first-order rotor kinematics; geometric algebra; geometric interpretation; independent sensors; numerical simulation; rigid body rotations; sensor alignment; stable adaptive identifier; Algebra; Kinematics; Lyapunov methods; Noise; Robot sensing systems; Rotors; Stability analysis; Geometric Algebra; Lyapunov; alignment; estimation; identification; quaternion; rotation; rotor; spinor;
Conference_Titel :
Robotics and Automation (ICRA), 2011 IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-61284-386-5
DOI :
10.1109/ICRA.2011.5980519