Optimal evasion against a proportionally guided pursuer

We 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.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Aerospace and Ocean Engineering

Department dc:contributor.department

Aerospace and Ocean Engineering

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1986

Author dc:creator

• Ben-Asher, Joseph Z.

Chair dc:contributor.committeechair

• Cliff, Eugene M.

Committee members dc:contributor.committeemember

• Lutze, Frederick H.
• Kelley, Henry J.

Statement dc:rights

• Creative Commons Attribution-NonCommercial-NoDerivs 3.0 United States

Licence dc:rights.uri

• http://creativecommons.org/licenses/by-nc-nd/3.0/us/

Language dc:language.iso

en_US

Dc Identifier Other

etd-12182013-040032

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/51126