Optimal Aerodynamic and Thrust Magnitude Control of Maneuvering Rockets

Abstract

The report presents the results of a study to evaluate thrust magnitude control in Air Force missions. In this study modern control theory was applied to determine the time history of the thrust profile to achieve optimal maneuvers of aerospace lifting vehicles. Following formulation of a mathematical model with a very general propulsion system, optimal control laws for the thrust direction and magnitude were obtained. It was shown that coast, boost, and sustaining thrust could all be optimal. For the particular case of the sustaining flight it was shown that the position vector, the velocity vector, and the mass of the rocket vehicle must satisfy a certain explicitly obtained relationship, and that the variable thrust magnitude depends strongly on the aerodynamic characteristics of the vehicle and the optimal trajectory flown.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1972
Accession Number
AD0751281

Entities

People

  • C. J. Shieh
  • N. X. Vinh
  • W. F. Powers

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aerodynamic Characteristics
  • Air Force
  • Algorithms
  • Boundary Value Problems
  • Computational Science
  • Computer Programs
  • Computers
  • Earth Models
  • Engines
  • Equations
  • Equations Of State
  • Mach Number
  • Mass Flow
  • Numerical Analysis
  • Propulsion Systems
  • Rocket Engines
  • Turning Flight

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Combustion and Flow Dynamics.
  • Robotics and Automation.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster
  • Space - Spacecraft Maneuvers