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: | Cherkasov O.Yu., Yakushev A.G. |
Keywords: | pursuit |
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.