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	クォータニオン姿勢	Mahony Filter
分野	航空宇宙工学	航空宇宙工学
系統	Process / pipeline	Process / pipeline
提唱年	1843	2008
提唱者	William Hamilton (quaternions), aerospace engineers	Robert Mahony
種類	Mathematical framework	Observer algorithm
原典	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.
別名	quaternion representation, attitude kinematics, q-vector	Mahony AHRS, complementary observer attitude filter
関連	3	3
概要	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.