D.S. Andrashitov1, A.A. Kostoglotov2, S.V. Lazarenko3, A.S. Penkov4

1 Military Academy of Strategic Missile Forces named after Peter the Great Ministry of Defense
  of the Russian Federation (Balashikha, Moscow Region, Russia)

2–4 Don State Technical University (Rostov-on-Don, Russia)

Relevance. The work is devoted to the actual problem of inconsistency of the motion model when tracking maneuvering objects under a priori unknown influences that cause dynamic errors. To ensure target tracking by modern radars, a linear Kalman filter is traditionally used based on a kinematic motion model, the imperfection of which is the cause of tracking failure during active target maneuvering.

Purpose of the work. Develop a method for the synthesis of algorithms using adaptive motion models with the construction of a quasi-optimal control law based on the maximum condition for the generalized power function and the decomposition principle.

Results. The paper shows that the use of the decomposition principle and the condition for the maximum of the generalized power function determines the structure of the linear model. A Kalman-type filter is considered, which differs in the structure of transition matrices, which include an additional adaptation parameter, which makes it possible to obtain more reliable estimates of the trajectory of the aircraft under a priori unknown influences under the conditions of maneuvering of the tracking object. Numerical simulation of the algorithm based on the adaptive motion model using a shaping filter has been carried out.

Practical significance. The application of the considered method of synthesis of tracking algorithms using a shaping filter and quasi-optimal control laws for maneuvering objects makes it possible to increase the accuracy of determining the target trajectory by an average of 4% relative to the Kalman filter with the Singer model, and in some cases up to 25% in the maneuver interval.

Andrashitov D.S., Kostoglotov A.A., Lazarenko S.V., Penkov A.S. Synthesis method for the tracking algorithm using a shaping filter and quasi-optimal control laws for maneuvering objects. Radiotekhnika. 2023. V. 87. № 2. P. 93−104. DOI: https://doi.org/10.18127/j00338486-202302-13 (In Russian)

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