Multi-Hypersonic Missile Target Selection and Trajectory Optimization
Abstract
Current approaches to performing target selection optimization with trajectory optimization is through enumeration of the different trajectories and then performing a binary target selection optimization on the constructed cost matrix. Issues with this method are that the target selection problem requires up to n! calculations, and that each of these calculations is performed devoid of information of the other agents and can therefore result in collisions when applied to missile flight profiles. Being able to solve the assignment problem concurrently with the trajectory optimization is of interest in solving multi-hypersonic missile trajectories because of the potential saving of computational time as well as solving the issue of collision avoidance. This thesis seeks to develop and solve the bi-level optimization problem of a multi-hypersonic missile target selection problem by embedding the target selection optimization inside a trajectory optimization loop using a "Designer Function." This maps the XOR statement of a target selection problem into a continuous conjunctive setup. This allows the problem to be solved simultaneously for which asset goes to which target without telling the system a specific missile-target pairing. Analysis of DIDO solutions using Pontryagin's Principle verifies that this method produces an optimal result in a 2 x 2 scenario.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 2023
- Accession Number
- AD1225656
Entities
People
- Michael L. Zepeda
Organizations
- Naval Postgraduate School