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Capture region of a 3D PPN guidance law for intercepting high‐speed targets
Author(s) -
Tyan Feng
Publication year - 2012
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.396
Subject(s) - line of sight , interception , sight , constraint (computer aided design) , line (geometry) , control theory (sociology) , range (aeronautics) , function (biology) , airfoil , computer science , simulation , control (management) , engineering , artificial intelligence , physics , mathematics , aerospace engineering , geometry , optics , ecology , evolutionary biology , biology
The implementation of a classic three‐dimensional PPN guidance against a high‐speed nonmaneuvering target is analyzed. All the analysis is performed in a line‐of‐sight fixed coordinate. By utilizing an auxiliary function inspired from the tangential relative velocity at interception, a necessary and sufficient condition for the airfoil shape capture region for intercepting the target is obtained. In addition, to have a maximum range of the angle between a target velocity and line of sight, the optimal aiming of an interceptor is derived. Finally, a sufficient condition for the capture region with the finite line‐of‐sight turn rate constraint is also presented. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society