Multi-Stepping Solution to Linear Two Point Boundary Value Problems in Missile Integrated Control

Abstract

A multi-stepping state transition matrix approach for solving a linear two-point boundary value problem is developed. The algorithm employs partitioned state transition matrix of the Hamiltonian system, and is computationally less expensive than backward integration of differential Riccatti equation. This fact makes it ideally suited for online implementation. The application of this technique is illustrated for a finite interval moving mass actuated missile guidance-autopilot for target interception. A combination of feedback linearization and the multi-stepping linear boundary value solution algorithm is employed in the example. Closed loop simulation results are given.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 2005
Accession Number
ADA436832

Entities

People

  • E. J. Ohlmeyer
  • G. D. Sweriduk
  • P. K. Menon
  • S. S. Vaddi

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Aeronautics
  • Algorithms
  • Applied Mathematics
  • Astronautics
  • Automatic Pilots
  • Boundaries
  • Boundary Value Problems
  • Closed Loop Systems
  • Computations
  • Control Systems
  • Control Systems Engineering
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Mathematics
  • Navigation
  • Simulations

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Missile Defense Systems.