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. / Master of Science
| Identifer | oai:union.ndltd.org:VTETD/oai:vtechworks.lib.vt.edu:10919/51126 |
| Date | 18 December 2013 |
| Creators | Ben-Asher, Joseph Z. |
| Contributors | Aerospace and Ocean Engineering, Cliff, Eugene M., Lutze, Frederick H., Kelley, Henry J. |
| Publisher | Virginia Tech |
| Source Sets | Virginia Tech Theses and Dissertation |
| Language | en_US |
| Detected Language | English |
| Type | Thesis, Text |
| Format | vii, 48 leaves, application/pdf, application/pdf |
| Rights | Creative Commons Attribution-NonCommercial-NoDerivs 3.0 United States, http://creativecommons.org/licenses/by-nc-nd/3.0/us/ |
| Relation | OCLC# 15554605 |
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