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An explicit feedback approximation for medium‐range interceptions in a vertical plane
Author(s) -
Shinar J.,
Negrin M.
Publication year - 1983
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660040404
Subject(s) - range (aeronautics) , control theory (sociology) , missile , weighting , interception , plane (geometry) , aerodynamics , terminal (telecommunication) , aerospace engineering , constant (computer programming) , boundary (topology) , computer science , mathematics , physics , mathematical analysis , engineering , geometry , control (management) , acoustics , artificial intelligence , ecology , biology , programming language , telecommunications
Minimum‐time interception of a target flying at a constant speed and altitude by a missle‐carrying fighter aeroplane is analysed using the method of forced singular perturbations (FSP). The engagement starts beyond visual range and terminates when the firing envelope of the missile is reached. Since in a medium‐range scenario the interceptor does not reach its maximum specific energy, the solution consists of matched initial and terminal boundary layers. The paper concentrates on interception of high flying targets for which the terminal phase is also a climbing subarc. The solution of this problem is approximated in a uniformly valid explicit feedback form using a range‐dependent weighting parameter. Application to an interceptor with realistic aerodynamic and propulsion models serves as an illustrative example.