Three-dimensional optimal pursuit and evasion with bounded controls
- 1 June 1980
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 25 (3) , 492-496
- https://doi.org/10.1109/tac.1980.1102372
Abstract
The missile-aircraft pursuit-evasion problem is formulated by a three-dimensional linearized kinematic model with bounded control. The formulation is valid both for the optimal control (against a known adversary strategy) and the zero sum differential game versions. Assuming perfect information, the linearized kinematic model yields for both versions a solution which can be impletemented in real time for airborne application. The avoidance of a known pursuer by an evader who has no state information is solved by a stochastically optimal periodical maneuver. Other examples of imperfect information are briefly discussed.Keywords
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