RESEARCH PAPERS: Papers on Control Mechanics

Planar Pursuit-Evasion Subjected to Control Energy Constraint

[+] Author and Article Information
Y. Yavin, R. deVilliers

Centre for Advanced Computing and Decision Support, CSIR, Pretoria 0001, South Africa

J. Dyn. Sys., Meas., Control 111(4), 661-666 (Dec 01, 1989) (6 pages) doi:10.1115/1.3153110 History: Received August 10, 1988; Online July 21, 2009


This work deals with two stochastic planar pursuit-evasion differential games where the pursuer is subject to constraints on its control magnitude and its control energy, whereas the evader is subject only to a magnitude constraint on its control. In the first game the motion of the players is confined to the horizonal plane, while in the second their motion is confined to the vertical plane. In both games, owing to thrust, drag, and gravitational forces, the pursuer has a variable speed. The treatment is concerned mainly with the question of how far a certain type of proportional navigation guidance law is a good approximation to an optimal feedback pursuit strategy.

Copyright © 1989 by ASME
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