Nonlinear constructional sets in an aircraft tracking problem under inertial control

摘要

The paper deals with a tracking problem of an aircraft motion in the horizontal plane under constant trajectory velocity and inertial control of the heading velocity. Measurements of the aircraft position come at some instants. Measurement errors obey the geometric constraints. Any probability characteristics of the errors are absent. An algorithm and nonlinear procedures are suggested for constructing informational sets in the four-dimensional phase space. The informational set describes the totality of all phase states consistent with the sequence of received measurements. Simulation results are represented. Comparison with exact calculations is implemented.