Kalman filter in the problem of homing
Authors: Zhuravlev Yu.V.
Published in issue: #7(31)/2014
DOI: 10.18698/2308-6033-2014-7-1240
Category: Mathematic modeling | Chapter: Modeling in computer science
We studied a simple kinematic model of guidance system for counter-overtaking modes. The maneuver target is modeled by stationary correlated random process. We use Kalman filter to estimate the coordinates of the phase state of the kinematic link, namely, the angular velocity of the line of sight and the normal acceleration of the target. The system of differential Riccati equations for the covariances of the errors due to the nonstationarity and nonlinearity in closed form is not amenable to study. However, in three special cases we found its closed solution in graphical or analytical forms. The need of simulation with the purpose of determining applicability of the obtained results is shown.
References
[1] Kozlov V.I. Sistemy avtomaticheskogo upravleniya letatelnymi apparatami [Aircraft automatic control systems]. Moscow, Mashinostroenie Publ., 1979, 216 p.
[2] Fedosov E.A., red. Dinamicheskoe proektirovanie system upravleniya avtomaticheskikh manevrennykh LA [Dynamic design of automatic control systems of maneuverable aircraft]. Moscow, Mashinostroenie Publ., 1997, 336 p.
[3] Kalman R.E., Bucy R.S. New results in linear filtering and theory predictions. J. Basic Eng., vol. 83, Ser. D, I, 1961, pp. 95-108.
[4] Bucy R.S., Joseph P.D. Filtering for stochastic processes with applications to guidance, New York, Wiley-Interscience, 1968, 217 p.