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	Filtr Madgwika	Filtr Mahony
Dziedzina	Lotnictwo i kosmonautyka	Lotnictwo i kosmonautyka
Rodzina	Process / pipeline	Process / pipeline
Rok powstania	2010	2008
Twórca	Sebastian Madgwick	Robert Mahony
Typ	Filter algorithm	Observer algorithm
Źródło pierwotne	Madgwick, S. O. H., Harrison, A. J. L., & Vaidyanathan, R. (2011). Estimation of IMU and MARG orientation using a gradient descent algorithm. IEEE International Conference on Rehabilitation Robotics (ICORR), 1–7.	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.
Inne nazwy	Madgwick AHRS, gradient descent attitude filter	Mahony AHRS, complementary observer attitude filter
Pokrewne	3	3
Podsumowanie	The Madgwick Filter is a computationally lightweight attitude estimation algorithm that fuses inertial measurements (accelerometer, gyroscope) with magnetic measurements (magnetometer) to compute a quaternion orientation. Introduced by Sebastian Madgwick in 2010, the algorithm uses gradient descent optimization to minimize the error between measured and expected sensor outputs, yielding accurate, drift-free attitude estimates on embedded systems with minimal computational cost. The Madgwick Filter is now ubiquitous in consumer electronics, robotics, and aerospace systems.	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.