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The effects of non‐linear kinematics in optimal evasion
Author(s) -
Forte I.,
Steinberg A.,
Shinar J.
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.4660040204
Subject(s) - pursuer , kinematics , pursuit evasion , plane (geometry) , control theory (sociology) , mathematics , perpendicular , computer science , mathematical optimization , geometry , physics , classical mechanics , artificial intelligence , control (management)
The effects of non‐linear kinematics on optimal evasive strategies from a pursuer guided by proportional navigation are investigated in a plane. Non‐linear analysis is mandatory since, for certain values of system parameters and initial conditions, linearized kinematic models are not valid. The investigation discloses two principles of optimal evasion. For long pursuit time, both principles are satisfied and the relatively large miss distance is almost independent of the initial conditions. Short pursuit time does not allow simultaneous satisfaction of both principles, and the two‐dimensional optimal compromise results in a reduced miss distance. The inability to satisfy both principles suggests a three‐dimensional manoeuvre perpendicular to the initial collision plane.