Flugleistungen

Tracking aircraft trajectories in the presence of wind disturbances

“…The matrix M OK represents the transformation matrix from the kinematic frame (K) to the NED frame (O) and depends on the kinematic course angle χ K as well as the kinematic climb angle γ K . It is assumed that the air density ρ varies with the altitude h according to the International Standard Atmosphere (ISA), as described in [6] for the troposphere layer. In the current work, the air density is set to 1.0581 kg m −3 at the altitude h = 400 m.…”

“…where n V and n ρ are empirical values corresponding to the engine type. The ansatz (41) and the values n V = −0.1 and n ρ = 0.7 are chosen based on the methods described in [6] for turbofan engines with a low bypass ratio. 8.2.…”

“…Let v (i) (t) and u (i) (t) be arbitrary admissible disturbances and controls affecting the primary and guide models, respectively, on time intervals [t i , t i+1 ), i = 0, 1, ..., cf. (5) and (6). Define trajectories of the models on each time interval [t i , t i+1 ) as follows:…”