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The rudder surface effectiveness loss directly affects the gust alleviation effect of flexible aircraft, considering the rudder surface effectiveness loss is the key to the design of an active gust alleviation control system. In order to tackle the issue of gust interference in flexible aircraft, a high aspect ratio flexible aircraft model is utilized to create a structural dynamics model of the flexible aircraft that takes into account elastic modes and rigid body motion. Additionally, the rudder effectiveness loss of the rudder surface actuator is taken into consideration. An adaptive observer is designed to estimate the efficiency factor of the rudder surface actuator online in real-time, reconstruct and solve the adaptive active fault-tolerant
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