Singular arcs in the optimal evasion against a proportional navigation vehicle

Singular arcs in the optimal evasion against a proportional navigation vehicle

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Article ID: iaor2003216
Country: United States
Volume: 113
Issue: 2
Start Page Number: 211
End Page Number: 226
Publication Date: May 2002
Journal: Journal of Optimization Theory and Applications
Authors: ,
Keywords: pursuit
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.

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