On Minimum Energy Control of Commutative Bilinear Systems,

Abstract

Minimum energy control problems are considered for commutative bilinear systems with and without end point constraints. Optimal controls are shown to be constant vectors determined by the boundary conditions when the terminal state belongs to the reachable set. Sufficient conditions for uniqueness of solutions are derived for the minimum energy problem without a terminal constraint. Application to a missile intercept problem is discussed in which the pursuer possesses thrust modulation in addition to thrust vectoring. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1977
Accession Number
ADA052935

Entities

People

  • Allan E. Pearson
  • K. C. Wei

Organizations

  • Brown University

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Control Systems
  • Control Theory
  • Economic Systems
  • Engineering
  • Equations
  • Linear Systems
  • Modulation
  • Regulators
  • Rhode Island
  • Self Assembly
  • Step Functions
  • Terminals
  • Transitions
  • Two Dimensional
  • Variational Methods

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Mathematical Modeling and Probability Theory.