Ben-Asher, Joseph Z.2014-12-112014-12-111986-09-18etd-12182013-040032http://hdl.handle.net/10919/51126We consider the problem of optimal evasion when the pursuer is known to employ fixed gain proportional navigation. The performance index is a measure of closest approach. The analysis is done for planar motions at constant speed. The kinematics are first linearized around a nominal collision course. The dynamics of the opponents are modeled by first order systems and their accelerations may be bounded. Three cases are studied: unconstrained optimal evasion (where the evader is not subjected to any path constraint) against a single pursuer, optimal evasion with a terminal path angle constraint for the evader and optimal evasion against more than one pursuer. The optimal controls are shown to be 'bang - bang' with the number of switches depending on the pursuer’s navigation gain and on the particular constraints of each case.vii, 48 leavesapplication/pdfen-USCreative Commons Attribution-NonCommercial-NoDerivs 3.0 United StatesLD5655.V855 1986.B463Fighter planes -- Design and constructionFlight controlThesishttp://scholar.lib.vt.edu/theses/available/etd-12182013-040032/