Projection Operator Strategies in the Optimization of Trajectory Functions

Abstract

Throughout this work, we have developed important insights into the nature of trajectory functionals and their minimization. Second order properties of the trajectory functionals have helped us to discover cases where one would expect a functional to have a nice minimizer but in fact one does not exist. Barrier functionals have been used to effectively manage input, state, and mixed constraints. Working with such a variety of systems and objectives, we have developed a sort-of experts toolkit that makes such investigations (somewhat) more tractable. We have found that, in order to do effective trajectory exploration and optimization, one must indeed become an expert on the system under investigation!

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Document Details

Document Type
Technical Report
Publication Date
Sep 14, 2012
Accession Number
ADA577236

Entities

People

  • John Hauser

Organizations

  • University of Colorado Boulder

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Banach Space
  • Closed Loop Systems
  • Control Systems
  • Department Of Defense
  • Equations
  • Feedback
  • Information Operations
  • Lie Groups
  • Nonlinear Systems
  • Optimization
  • Riccati Equation
  • Scientific Research
  • Trajectories
  • Vector Spaces

Readers

  • Operations Research
  • Systems Analysis and Design