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On the structure of a class of time‐optimal trajectories
Author(s) -
Glizer V. Y.,
Shinar J.
Publication year - 1993
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.4660140405
Subject(s) - pursuer , interception , mathematics , trajectory , perturbation (astronomy) , upper and lower bounds , radius , constant (computer programming) , optimal control , control theory (sociology) , singular perturbation , mathematical analysis , range (aeronautics) , planar , mathematical optimization , computer science , physics , control (management) , engineering , ecology , computer graphics (images) , computer security , quantum mechanics , astronomy , artificial intelligence , biology , programming language , aerospace engineering
Planar constant‐speed interception of an evader moving along a known trajectory is considered as a time‐optimal control problem. The condition which guarantees that the optimal trajectory of the pursuer consists of an initial turn at the maximum turning rate followed by a straight line segment is established. This condition is expressed as an inequality satisfied by the ratio of the minimum turning radius of the pursuer and the initial range, also called the geometrical singular perturbation parameter. The upper bound of this parameter is computed as a function of other non‐dimensional parameters of the interception.