Model of flight technical error in symmetrical plane for performance based navigation

In the performance based navigation (PBN), the flight technical error (FTE) and the navigation system error (NSE) are two main parts of total system error (TSE). The implementation of PBN requires pre-flight prediction and en-route short-term dynamical prediction of TSE. Once the sum of predicted FTE and NSE is greater than the specified PBN value, PBN cannot operate. Thus, it requires accurate modeling and thorough analysis of the two main contributors. Multiple-input multiple-output (MIMO) longitudinal flight control system of ARIC model is designed using the linear quadratic Gaussian and loop transfer recovery (LQG/LTR) method, and FTE in symmetrical plane of aircraft is analyzed during the turbulence disturbed approach. The error estimation mapping function of FTE in symmetrical plane and its bound estimation model are proposed based on the singular value theory. The model provides an approach based on the forming mechanism of FTE, rather than the costly flight test and the data fitting. Real-data based simulation validates the theoretical analysis of FTE in symmetrical plane. It also shows that FTE is partially caused by the turbulence fluctuation disturbance when the automatic flight control system (AFCS) is engaged and increases with escalating the environmental turbulence intensity.