A differential game in three dimensions: The aerial dogfight scenario

Greenwood N. (1992) A differential game in three dimensions: The aerial dogfight scenario. Dynamics and Control, 2 2: 161-200. doi:10.1007/BF02169496


Author Greenwood N.
Title A differential game in three dimensions: The aerial dogfight scenario
Journal name Dynamics and Control   Check publisher's open access policy
ISSN 0925-4668
Publication date 1992-01-01
Sub-type Article (original research)
DOI 10.1007/BF02169496
Volume 2
Issue 2
Start page 161
End page 200
Total pages 40
Publisher Kluwer Academic Publishers
Subject 2207 Control and Systems Engineering
Abstract In this article, an aerial dogfight in three dimensions between two aircraft was modeled, with each aircraft having combined qualitative objectives of capture with avoidance. A spherical polar-coordinate system was devised to describe the system. From a standard point-mass model of aircraft dynamics for three-dimensional flight, a kinematic model was derived, with its corresponding controls for each aircraft. This kinematic model was then used, assuming bang-bang control functions for each aircraft, in order to determine a map of the game. A technique of trajectory dissection was introduced, whereby the airplane loci were decomposed in terms of regions of zero-level and saturation-level control values, and controllable and winning regions were determined for each aircraft using a Liapunov-function approach, the winning regions being calculated using the Getz-Leitmann theorem. A map of the game was constructed, and the barrier was found to be nonvoid. The concept of the posthumous mutual-kill strategy was introduced.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
 
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Created: Tue, 30 Aug 2016, 13:26:54 EST by System User