Compara mètodes

	Representació d'actitud quaterniònica	Filtre de Mahony
Camp	Aeroespacial	Aeroespacial
Família	Process / pipeline	Process / pipeline
Any d'origen	1843	2008
Autor original	William Hamilton (quaternions), aerospace engineers	Robert Mahony
Tipus	Mathematical framework	Observer algorithm
Font seminal	Shuster, M. D. (1993). A survey of attitude representations. Journal of the Astronautical Sciences, 41(4), 439–517.	Mahony, R., Hamel, T., & Pflimlin, J. M. (2008). Multirotor aerial vehicles: Modeling, estimation, and control of quadrotors. IEEE Robotics and Automation Magazine, 19(3), 20–32.
Àlies	quaternion representation, attitude kinematics, q-vector	Mahony AHRS, complementary observer attitude filter
Relacionats	3	3
Resum	Quaternion attitude representation is a mathematical framework for describing three-dimensional rotations using four-dimensional vectors (quaternions). Superior to Euler angles due to the absence of singularities (gimbal lock), quaternions are the standard representation in modern attitude estimation, spacecraft control, and 3D computer graphics. Quaternion kinematics elegantly expresses how attitude evolves under angular velocity measurements from gyroscopes.	The Mahony Filter is a complementary observer-based attitude filter that fuses gyroscope, accelerometer, and magnetometer measurements to estimate quaternion orientation. Developed by Robert Mahony and colleagues in 2008, the filter combines gyroscope rate integration with corrective feedback from vector measurements (accelerometer, compass) using proportional-integral control principles. The Mahony Filter provides similar performance to Kalman Filters but with simpler implementation and lower computational cost, making it ideal for resource-constrained systems and real-time control.