Istanbul Technical University, Faculty of Aeronautics and Astronautics, Maslak, 34469 Istanbul, Turkey.
ISA Trans. 2012 Jan;51(1):189-97. doi: 10.1016/j.isatra.2011.07.008. Epub 2011 Aug 19.
The fault detection approach based on the Tracy-Widom distribution is presented and applied to the aircraft flight control system. An operative method of testing the innovation covariance of the Kalman filter is proposed. The maximal eigenvalue of the random Wishart matrix is used as the monitoring statistic, and the testing problem is reduced to determine the asymptotics for the largest eigenvalue of the Wishart matrix. As a result, an algorithm for testing the innovation covariance based on the Tracy-Widom distribution is proposed. In the simulations, the longitudinal and lateral dynamics of the F-16 aircraft model is considered, and detection of sensor and control surface faults in the flight control system which affect the innovation covariance, are examined.
提出了一种基于 Tracy-Widom 分布的故障检测方法，并将其应用于飞机飞行控制系统。提出了一种测试卡尔曼滤波器创新协方差的有效方法。随机 Wishart 矩阵的最大特征值被用作监测统计量，测试问题被简化为确定 Wishart 矩阵最大特征值的渐近性。因此，提出了一种基于 Tracy-Widom 分布的创新协方差测试算法。在仿真中，考虑了 F-16 飞机模型的纵向和横向动力学，并检查了飞行控制系统中影响创新协方差的传感器和控制面故障的检测。
