Extreme deviations of landing parameters for heavy aircraft

Abstract

We estimate the statistic characteristics and extreme deviations of the state vector components for the Ilyushin Il 96-300 systems at automatic landing.An effort to enhance the aircraft flight safety as well as the increased requirements imposed on accuracy and reliability of aircraft system operation in the entire range of operating conditions, lead to the problem of assessing the highly improbable events, in particular, the probability of extreme deviations of aircraft phase coordinates and its systems at automatic landing, that is at the most critical operation regime.The theory of large deviations [1-2] is used to estimate the probability of extreme deviations at automatic aircraft landing. In accordance with this theory we study the effect of the disturbances on the Ilyushin Il 96-300 aircraft parameters in the lateral motion at landing based on extreme disturbances that define the most probable trajectory passing through the extreme point.In order to describe the lateral motion at aircraft landing, we use the differential equations describing the landing conditions with a diverse scheme of disturbances and random parameters that have the following form: