A pursuit-evasion differential game with noisy measurements of the evader's bearing from the pursuer |
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Authors: | Y Yavin |
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Institution: | (1) Mathematics and Dynamic Meterology Division, National Institute for Mathematical Sciences, CSIR, Pretoria, South Africa |
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Abstract: | A stochastic pursuit-evasion differential game involving two players, E and P, moving in the plane is considered. It is assumed that player E (the evader) has complete observation of the position and velocity of player P, whereas player P (the pursuer) can measure the distanced (P, E) between P and E but receives noise-corrupted measurements of the bearing of E from P. Three cases are dealt with: (a) using the noise-corrupted measurements of , player P applies the proportional navigation guidance law; (b) P has complete observation ofd (P, E) and (this case is treated for the sake of completeness); (c) using the noise-corrupted measurements of , P applies an erroneous line-of sight guidance law. For each of the cases, sufficient conditions on optimal strategies are derived. In each of the cases, these conditions require the solution of a nonlinear partial differential equation on a in 2. Finally, optimal strategies are computed by solving the corresponding equations numerically. |
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Keywords: | Pursuit-evasion stochastic differential games guidance proportional navigation line-of-sight guidance law |
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