Synthesis of adaptive tracking systems based on the hypothesis of stationarity of the Hamiltonian on the switching hypersurface

Abstract

Application of the method of the combined maximum principle to the synthesis of filters for tracking maneuvering aircrafts is demonstrated. The derived estimation equations are determined to within the synthesizing function. In constructing this function, the condition of stationarity of the Hamiltonian function on the switching hypersurface is used, which ensures adaptation to the observed motion. A tracking algorithm characterized by a lower, as compared to the Kalman filter, computational complexity and higher estimation accuracy during aircraft maneuvering has been synthesized.