Singular Arcs in the Optimal Evasion Against a Proportional Navigation Vehicle

O. Yu. Cherkasov and A.G. Yakushev
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O. Yu. Cherkasov: Moscow State University
A.G. Yakushev: Moscow State University

Journal of Optimization Theory and Applications, 2002, vol. 113, issue 2, No 1, 226 pages

Abstract: Abstract The two-dimensional optimal evasion problem against a proportional navigation pursuer is analyzed using a nonlinear model. The velocities of both players have constant modulus, but change in direction. The problem is to determine the time-minimum trajectory (disengagement) or time-maximum trajectory (evasion) of the evader while moving from the assigned initial conditions to the final conditions. A maximum principle procedure allows one to reduce the optimal control problem to the phase portrait analysis of a system of two differential equations. The qualitative features of the optimal process are determined.

Keywords: Optimal evasion; proportional navigation; singular arcs (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1023/A:1014869623415

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