Title page for ETD etd-12182013-040032

Type of Document Master's Thesis
Author Ben-Asher, Joseph Z.
URN etd-12182013-040032
Title Optimal evasion against a proportionally guided pursuer
Degree Master of Science
Department Aerospace and Ocean Engineering
Advisory Committee
Advisor Name Title
Eugene M. Cliff Committee Chair
Frederick H. Lutze Committee Member
Henry J. Kelley Committee Member
  • Flight control
Date of Defense 1986-09-05
Availability restricted

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.

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